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MacBinary  |  1996-03-06  |  14.1 KB  |  [CFun/MPad]

open in: MacOS 8.1     |     Win98     |     DOS

view JSON data     |     view as text

This file was processed as: MacBinary (archive/macBinary).

You can browse this item here: fft

ConfidenceProgramDetectionMatch TypeSupport
10% dexvert MacBinary (archive/macBinary) fallback Supported
1% dexvert MacOS PPC PEF Executable (executable/macPPCPEFExe) magic Unsupported
100% file MacBinary II, inited, Wed Mar 6 08:54:42 1996, modified Wed Mar 6 10:18:24 1996, creator 'MPad', type 'CFun', 5687 bytes "fft" default (weak)
99% file header for PowerPC PEF executable, at 0x16b7 8545 bytes resource default
98% file header for PowerPC PEF executable default
97% file data default
98% TrID MacBinary 2 default (weak)
1% TrID Sybase iAnywhere database files default (weak)
100% siegfried fmt/1762 MacBinary (II) default
100% lsar MacBinary default


id metadata
keyvalue
macFileType[CFun]
macFileCreator[MPad]



hex view
+--------+-------------------------+-------------------------+--------+--------+
|00000000| 00 03 66 66 74 00 00 00 | 00 00 00 00 00 00 00 00 |..fft...|........|
|00000010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000040| 00 43 46 75 6e 4d 50 61 | 64 01 00 00 00 00 00 00 |.CFunMPa|d.......|
|00000050| 00 00 00 00 00 16 37 00 | 00 21 61 ad 63 49 a2 ad |......7.|.!a.cI..|
|00000060| 63 5d 40 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |c]@.....|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 81 81 b9 c1 00 00 |........|........|
|00000080| 4a 6f 79 21 70 65 66 66 | 70 77 70 63 00 00 00 01 |Joy!peff|pwpc....|
|00000090| ad 63 5d 40 00 00 00 00 | 00 00 00 00 00 00 00 00 |.c]@....|........|
|000000a0| 00 03 00 02 00 00 00 00 | ff ff ff ff 00 00 00 00 |........|........|
|000000b0| 00 00 12 b4 00 00 12 b4 | 00 00 12 b4 00 00 01 d0 |........|........|
|000000c0| 00 04 04 00 ff ff ff ff | 00 00 00 00 00 00 02 3c |........|.......<|
|000000d0| 00 00 02 33 00 00 01 a7 | 00 00 14 90 02 01 04 00 |...3....|........|
|000000e0| ff ff ff ff 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000f0| 00 00 01 48 00 00 00 80 | 04 04 04 00 00 00 00 00 |...H....|........|
|00000100| ff ff ff ff 00 00 00 00 | 00 00 00 01 00 00 00 e8 |........|........|
|00000110| ff ff ff ff 00 00 00 00 | 00 00 00 03 00 00 00 0b |........|........|
|00000120| 00 00 00 01 00 00 00 b8 | 00 00 00 c0 00 00 01 40 |........|.......@|
|00000130| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000140| 00 00 00 00 00 00 00 02 | 00 00 00 00 00 00 00 00 |........|........|
|00000150| 00 00 00 0d 00 00 00 00 | 00 00 00 00 00 00 00 07 |........|........|
|00000160| 00 00 00 02 00 00 00 00 | 00 00 00 15 00 00 00 00 |........|........|
|00000170| 00 00 00 00 00 00 00 02 | 00 00 00 09 00 00 00 00 |........|........|
|00000180| 02 00 00 1d 02 00 00 28 | 02 00 00 2f 02 00 00 3d |.......(|.../...=|
|00000190| 02 00 00 45 02 00 00 52 | 02 00 00 5b 02 00 00 63 |...E...R|...[...c|
|000001a0| 02 00 00 70 02 00 00 77 | 02 00 00 7b 00 01 00 b8 |...p...w|...{....|
|000001b0| 00 00 00 04 00 00 00 00 | 4a 0a 42 11 80 73 46 04 |........|J.B..sF.|
|000001c0| 49 6e 74 65 72 66 61 63 | 65 4c 69 62 00 4d 61 74 |Interfac|eLib.Mat|
|000001d0| 68 50 61 64 00 4d 61 74 | 68 4c 69 62 00 44 69 73 |hPad.Mat|hLib.Dis|
|000001e0| 70 6f 73 65 50 74 72 00 | 4e 65 77 50 74 72 00 47 |posePtr.|NewPtr.G|
|000001f0| 65 74 45 78 70 72 4d 61 | 74 72 69 78 00 41 64 64 |etExprMa|trix.Add|
|00000200| 43 46 75 6e 00 53 65 74 | 56 61 72 4d 61 74 72 69 |CFun.Set|VarMatri|
|00000210| 78 00 46 72 65 65 45 78 | 70 72 00 53 74 6f 70 70 |x.FreeEx|pr.Stopp|
|00000220| 65 64 00 4d 61 6b 65 50 | 61 72 6d 45 78 70 72 00 |ed.MakeP|armExpr.|
|00000230| 45 72 72 4d 73 67 00 63 | 6f 73 00 73 69 6e 00 00 |ErrMsg.c|os.sin..|
|00000240| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000250| 7c 08 02 a6 93 e1 ff fc | 93 c1 ff f8 93 a1 ff f4 ||.......|........|
|00000260| 93 81 ff f0 90 01 00 08 | 94 21 ff a0 90 61 00 78 |........|.!...a.x|
|00000270| 3b a2 02 34 3b c0 00 00 | 38 60 00 00 90 61 00 3c |;..4;...|8`...a.<|
|00000280| 38 60 00 00 38 81 00 38 | 48 00 11 75 80 41 00 14 |8`..8..8|H..u.A..|
|00000290| 80 61 00 38 38 81 00 3c | 38 a1 00 44 38 c1 00 40 |.a.88..<|8..D8..@|
|000002a0| 48 00 11 75 80 41 00 14 | 7c 7f 07 34 80 61 00 38 |H..u.A..||..4.a.8|
|000002b0| 48 00 11 7d 80 41 00 14 | 80 81 00 40 2c 04 00 02 |H..}.A..|...@,...|
|000002c0| 40 82 00 10 80 a1 00 44 | 2c 05 00 04 40 80 00 14 |@......D|,...@...|
|000002d0| 38 62 01 10 38 80 00 00 | 48 00 11 6d 80 41 00 14 |8b..8...|H..m.A..|
|000002e0| 2c 1f 00 00 41 82 00 dc | 48 00 11 75 80 41 00 14 |,...A...|H..u.A..|
|000002f0| 7c 63 07 34 2c 03 00 00 | 40 82 00 c8 80 61 00 44 ||c.4,...|@....a.D|
|00000300| 80 81 00 78 48 00 09 25 | 60 00 00 00 7c 7f 1b 78 |...xH..%|`...|..x|
|00000310| 80 c1 00 44 80 fd 00 00 | 7c 06 38 00 41 82 00 18 |...D....||.8.A...|
|00000320| 38 62 01 2e 38 80 00 00 | 48 00 11 1d 80 41 00 14 |8b..8...|H....A..|
|00000330| 3b e0 00 00 2c 1f 00 00 | 41 82 00 18 81 1d 00 00 |;...,...|A.......|
|00000340| 55 03 20 36 48 00 11 49 | 80 41 00 14 7c 7e 1b 78 |U. 6H..I|.A..|~.x|
|00000350| 2c 1f 00 00 41 82 00 0c | 28 1e 00 00 40 82 00 18 |,...A...|(...@...|
|00000360| 38 62 01 4e 38 80 00 00 | 48 00 10 dd 80 41 00 14 |8b.N8...|H....A..|
|00000370| 48 00 00 50 3b 9e ff f0 | 7f 83 e3 78 80 81 00 3c |H..P;...|...x...<|
|00000380| 48 00 0a 55 60 00 00 00 | 80 61 00 3c 48 00 10 e9 |H..U`...|.a.<H...|
|00000390| 80 41 00 14 39 20 00 00 | 91 21 00 3c 7f 83 e3 78 |.A..9 ..|.!.<...x|
|000003a0| 48 00 0b 7d 60 00 00 00 | 38 62 01 64 7f c4 f3 78 |H..}`...|8b.d...x|
|000003b0| 80 bd 00 00 38 c0 00 02 | 48 00 11 1d 80 41 00 14 |....8...|H....A..|
|000003c0| 81 41 00 3c 28 0a 00 00 | 41 82 00 10 80 61 00 3c |.A.<(...|A....a.<|
|000003d0| 48 00 10 a5 80 41 00 14 | 80 01 00 68 38 21 00 60 |H....A..|...h8!.`|
|000003e0| 7c 08 03 a6 83 e1 ff fc | 83 c1 ff f8 83 a1 ff f4 ||.......|........|
|000003f0| 83 81 ff f0 4e 80 00 20 | 7c 08 02 a6 90 01 00 08 |....N.. ||.......|
|00000400| 94 21 ff c0 38 60 ff ff | 4b ff fe 49 38 60 00 00 |.!..8`..|K..I8`..|
|00000410| 80 01 00 48 38 21 00 40 | 7c 08 03 a6 4e 80 00 20 |...H8!.@||...N.. |
|00000420| 7c 08 02 a6 90 01 00 08 | 94 21 ff c0 38 60 00 01 ||.......|.!..8`..|
|00000430| 4b ff fe 21 38 60 00 00 | 80 01 00 48 38 21 00 40 |K..!8`..|...H8!.@|
|00000440| 7c 08 03 a6 4e 80 00 20 | 7c 08 02 a6 93 e1 ff fc ||...N.. ||.......|
|00000450| 93 c1 ff f8 93 a1 ff f4 | 93 81 ff f0 90 01 00 08 |........|........|
|00000460| 94 21 ff a0 3b 82 02 34 | 3b c0 00 00 38 60 00 00 |.!..;..4|;...8`..|
|00000470| 90 61 00 3c 38 60 00 00 | 38 81 00 38 48 00 0f 81 |.a.<8`..|8..8H...|
|00000480| 80 41 00 14 80 61 00 38 | 38 81 00 3c 38 a1 00 44 |.A...a.8|8..<8..D|
|00000490| 38 c1 00 40 48 00 0f 81 | 80 41 00 14 7c 7f 07 34 |8..@H...|.A..|..4|
|000004a0| 80 61 00 38 48 00 0f 89 | 80 41 00 14 80 81 00 40 |.a.8H...|.A.....@|
|000004b0| 2c 04 00 00 40 82 00 10 | 80 a1 00 44 2c 05 00 04 |,...@...|...D,...|
|000004c0| 40 80 00 14 38 62 01 6e | 38 80 00 00 48 00 0f 79 |@...8b.n|8...H..y|
|000004d0| 80 41 00 14 2c 1f 00 00 | 41 82 01 14 48 00 0f 81 |.A..,...|A...H...|
|000004e0| 80 41 00 14 7c 63 07 34 | 2c 03 00 00 40 82 01 00 |.A..|c.4|,...@...|
|000004f0| 80 c1 00 44 7c c6 0e 70 | 7c c6 01 94 90 c1 00 44 |...D|..p||......D|
|00000500| 80 61 00 44 38 80 00 01 | 48 00 07 21 60 00 00 00 |.a.D8...|H..!`...|
|00000510| 7c 7f 1b 78 80 e1 00 44 | 81 1c 00 00 7c 07 40 00 ||..x...D|....|.@.|
|00000520| 41 82 00 18 38 62 01 8a | 38 80 00 00 48 00 0f 19 |A...8b..|8...H...|
|00000530| 80 41 00 14 3b e0 00 00 | 2c 1f 00 00 41 82 00 10 |.A..;...|,...A...|
|00000540| 48 00 0a 8d 60 00 00 00 | 7c 7f 1b 78 2c 1f 00 00 |H...`...||..x,...|
|00000550| 41 82 00 1c 81 3c 00 00 | 39 29 00 01 55 23 20 36 |A....<..|9)..U# 6|
|00000560| 48 00 0f 2d 80 41 00 14 | 7c 7e 1b 78 2c 1f 00 00 |H..-.A..||~.x,...|
|00000570| 41 82 00 0c 28 1e 00 00 | 40 82 00 18 38 62 01 ab |A...(...|@...8b..|
|00000580| 38 80 00 00 48 00 0e c1 | 80 41 00 14 48 00 00 60 |8...H...|.A..H..`|
|00000590| 3b be ff f0 7f a3 eb 78 | 80 81 00 3c 48 00 07 cd |;......x|...<H...|
|000005a0| 60 00 00 00 80 61 00 3c | 48 00 0e cd 80 41 00 14 |`....a.<|H....A..|
|000005b0| 39 40 00 00 91 41 00 3c | 7f a3 eb 78 48 00 09 61 |9@...A.<|...xH..a|
|000005c0| 60 00 00 00 7f a3 eb 78 | 48 00 0b 1d 60 00 00 00 |`......x|H...`...|
|000005d0| 38 62 01 64 7f c4 f3 78 | 81 7c 00 00 38 ab 00 01 |8b.d...x|.|..8...|
|000005e0| 38 c0 00 02 48 00 0e f1 | 80 41 00 14 81 81 00 3c |8...H...|.A.....<|
|000005f0| 28 0c 00 00 41 82 00 10 | 80 61 00 3c 48 00 0e 79 |(...A...|.a.<H..y|
|00000600| 80 41 00 14 38 60 00 00 | 80 01 00 68 38 21 00 60 |.A..8`..|...h8!.`|
|00000610| 7c 08 03 a6 83 e1 ff fc | 83 c1 ff f8 83 a1 ff f4 ||.......|........|
|00000620| 83 81 ff f0 4e 80 00 20 | 7c 08 02 a6 bf 61 ff ec |....N.. ||....a..|
|00000630| 90 01 00 08 94 21 ff a0 | 3b 82 02 34 3b c0 00 00 |.....!..|;..4;...|
|00000640| 38 60 00 00 90 61 00 3c | 38 60 00 00 38 81 00 38 |8`...a.<|8`..8..8|
|00000650| 48 00 0d ad 80 41 00 14 | 80 61 00 38 38 81 00 3c |H....A..|.a.88..<|
|00000660| 38 a1 00 44 38 c1 00 40 | 48 00 0d ad 80 41 00 14 |8..D8..@|H....A..|
|00000670| 7c 7f 07 34 80 61 00 38 | 48 00 0d b5 80 41 00 14 ||..4.a.8|H....A..|
|00000680| 80 81 00 40 2c 04 00 00 | 40 82 00 10 80 a1 00 44 |...@,...|@......D|
|00000690| 2c 05 00 04 40 80 00 14 | 38 62 01 c2 38 80 00 00 |,...@...|8b..8...|
|000006a0| 48 00 0d a5 80 41 00 14 | 2c 1f 00 00 41 82 01 40 |H....A..|,...A..@|
|000006b0| 48 00 0d ad 80 41 00 14 | 7c 63 07 34 2c 03 00 00 |H....A..||c.4,...|
|000006c0| 40 82 01 2c 80 c1 00 44 | 7c db 0e 70 7f 7b 01 94 |@..,...D||..p.{..|
|000006d0| 7f 63 db 78 38 80 00 01 | 48 00 05 51 60 00 00 00 |.c.x8...|H..Q`...|
|000006e0| 7c 7f 1b 78 80 e1 00 44 | 81 1c 00 00 55 08 08 3c ||..x...D|....U..<|
|000006f0| 7c 07 40 00 41 82 00 18 | 38 62 01 e1 38 80 00 00 ||.@.A...|8b..8...|
|00000700| 48 00 0d 45 80 41 00 14 | 3b e0 00 00 2c 1f 00 00 |H..E.A..|;...,...|
|00000710| 41 82 00 10 48 00 08 b9 | 60 00 00 00 7c 7f 1b 78 |A...H...|`...|..x|
|00000720| 2c 1f 00 00 41 82 00 10 | 48 00 03 69 60 00 00 00 |,...A...|H..i`...|
|00000730| 7c 7f 1b 78 2c 1f 00 00 | 41 82 00 1c 81 3c 00 00 ||..x,...|A....<..|
|00000740| 39 29 00 01 55 23 20 36 | 48 00 0d 45 80 41 00 14 |9)..U# 6|H..E.A..|
|00000750| 7c 7e 1b 78 2c 1f 00 00 | 41 82 00 0c 28 1e 00 00 ||~.x,...|A...(...|
|00000760| 40 82 00 18 38 62 02 05 | 38 80 00 00 48 00 0c d9 |@...8b..|8...H...|
|00000770| 80 41 00 14 48 00 00 78 | 80 61 00 3c 48 00 04 59 |.A..H..x|.a.<H..Y|
|00000780| 60 00 00 00 3b be ff f0 | 7f a3 eb 78 80 81 00 3c |`...;...|...x...<|
|00000790| 48 00 05 d9 60 00 00 00 | 80 61 00 3c 48 00 0c d9 |H...`...|.a.<H...|
|000007a0| 80 41 00 14 39 40 00 00 | 91 41 00 3c 7f a3 eb 78 |.A..9@..|.A.<...x|
|000007b0| 48 00 07 6d 60 00 00 00 | 7f a3 eb 78 48 00 09 29 |H..m`...|...xH..)|
|000007c0| 60 00 00 00 7f c3 f3 78 | 48 00 0a bd 60 00 00 00 |`......x|H...`...|
|000007d0| 38 62 01 64 7f c4 f3 78 | 81 7c 00 00 38 ab 00 01 |8b.d...x|.|..8...|
|000007e0| 38 c0 00 00 48 00 0c f1 | 80 41 00 14 81 81 00 3c |8...H...|.A.....<|
|000007f0| 28 0c 00 00 41 82 00 10 | 80 61 00 3c 48 00 0c 79 |(...A...|.a.<H..y|
|00000800| 80 41 00 14 38 60 00 00 | 80 01 00 68 38 21 00 60 |.A..8`..|...h8!.`|
|00000810| 7c 08 03 a6 bb 61 ff ec | 4e 80 00 20 7c 08 02 a6 ||....a..|N.. |...|
|00000820| 90 01 00 08 94 21 ff c0 | 38 62 00 74 38 82 00 78 |.....!..|8b.t8..x|
|00000830| 80 a2 00 44 38 c0 00 00 | 48 00 0c b5 80 41 00 14 |...D8...|H....A..|
|00000840| 38 62 02 1f 38 82 00 78 | 80 a2 00 3c 38 c0 00 00 |8b..8..x|...<8...|
|00000850| 48 00 0c 9d 80 41 00 14 | 38 62 02 26 38 82 00 7a |H....A..|8b.&8..z|
|00000860| 80 a2 00 34 38 c0 00 00 | 48 00 0c 85 80 41 00 14 |...48...|H....A..|
|00000870| 38 62 02 2b 38 82 00 7a | 80 a2 00 2c 38 c0 00 00 |8b.+8..z|...,8...|
|00000880| 48 00 0c 6d 80 41 00 14 | 38 60 00 00 80 01 00 48 |H..m.A..|8`.....H|
|00000890| 38 21 00 40 7c 08 03 a6 | 4e 80 00 20 c8 23 00 00 |8!.@|...|N.. .#..|
|000008a0| c8 45 00 00 c8 63 00 08 | c8 85 00 08 fc 63 01 32 |.E...c..|.....c.2|
|000008b0| fc 21 18 b8 d8 21 ff f0 | c8 a3 00 08 c8 c5 00 00 |.!...!..|........|
|000008c0| c8 e3 00 00 c9 05 00 08 | fc e7 02 32 fc a5 39 ba |........|...2..9.|
|000008d0| d8 a1 ff f8 c9 24 00 00 | c9 41 ff f0 fd 29 50 28 |.....$..|.A...)P(|
|000008e0| d9 23 00 00 c9 64 00 08 | c9 81 ff f8 fd 6b 60 28 |.#...d..|.....k`(|
|000008f0| d9 63 00 08 c9 a1 ff f0 | c8 24 00 00 fc 21 68 2a |.c......|.$...!h*|
|00000900| d8 24 00 00 c8 41 ff f8 | c8 64 00 08 fc 63 10 2a |.$...A..|.d...c.*|
|00000910| d8 64 00 08 4e 80 00 20 | 93 e1 ff fc 93 c1 ff f8 |.d..N.. |........|
|00000920| 93 a1 ff f4 93 81 ff f0 | 3b 82 02 34 3b c0 00 01 |........|;..4;...|
|00000930| 3b a0 00 01 48 00 00 34 | 80 62 00 90 57 a4 10 3a |;...H..4|.b..W..:|
|00000940| 7f c3 21 2e 83 e2 00 94 | 48 00 00 10 7f df f0 50 |..!.....|H......P|
|00000950| 7f ff 0e 70 7f ff 01 94 | 7c 1f f0 00 41 80 ff f0 |...p....||...A...|
|00000960| 7f de fa 14 3b bd 00 01 | 80 bc 00 00 7c 1d 28 00 |....;...|....|.(.|
|00000970| 41 80 ff c8 80 dc 00 00 | 80 e2 00 90 81 1c 00 00 |A.......|........|
|00000980| 55 08 10 3a 7c c7 41 2e | 83 e1 ff fc 83 c1 ff f8 |U..:|.A.|........|
|00000990| 83 a1 ff f4 83 81 ff f0 | 4e 80 00 20 7c 08 02 a6 |........|N.. |...|
|000009a0| db e1 ff f8 db c1 ff f0 | 93 e1 ff ec 90 01 00 08 |........|........|
|000009b0| 94 21 ff a0 c8 22 00 e0 | 80 62 00 9c c8 42 00 d8 |.!..."..|.b...B..|
|000009c0| 6c 63 80 00 90 61 00 44 | 3c 80 43 30 90 81 00 40 |lc...a.D|<.C0...@|
|000009d0| c8 61 00 40 fc 43 10 28 | fc 21 00 b2 80 a2 00 94 |.a.@.C.(|.!......|
|000009e0| c8 82 00 d8 6c a5 80 00 | 90 a1 00 3c 3c c0 43 30 |....l...|...<<.C0|
|000009f0| 90 c1 00 38 c8 a1 00 38 | fc 85 20 28 ff c1 20 24 |...8...8|.. (.. $|
|00000a00| 3b e0 00 01 48 00 00 64 | 38 ff ff ff c8 c2 00 d8 |;...H..d|8.......|
|00000a10| 6c e7 80 00 90 e1 00 3c | 3d 00 43 30 91 01 00 38 |l......<|=.C0...8|
|00000a20| c8 e1 00 38 fc c7 30 28 | ff e6 07 b2 fc 20 f8 90 |...8..0(|..... ..|
|00000a30| 48 00 0a 75 80 41 00 14 | 81 22 00 8c 57 ea 20 36 |H..u.A..|."..W. 6|
|00000a40| 7c 29 55 ae fc 20 f8 90 | 48 00 0a 75 80 41 00 14 ||)U.. ..|H..u.A..|
|00000a50| fc 20 08 50 81 62 00 8c | 57 ec 20 36 39 6b 00 08 |. .P.b..|W. 69k..|
|00000a60| 7c 2b 65 ae 3b ff 00 01 | 80 62 00 94 7c 1f 18 00 ||+e.;...|.b..|...|
|00000a70| 40 81 ff 98 80 01 00 68 | 38 21 00 60 cb e1 ff f8 |@......h|8!.`....|
|00000a80| cb c1 ff f0 7c 08 03 a6 | 83 e1 ff ec 4e 80 00 20 |....|...|....N.. |
|00000a90| 7c 08 02 a6 db e1 ff f8 | db c1 ff f0 93 e1 ff ec ||.......|........|
|00000aa0| 93 c1 ff e8 93 a1 ff e4 | 90 01 00 08 94 21 ff 90 |........|.....!..|
|00000ab0| 3b a2 02 34 80 7d 00 00 | 80 82 00 7c 7c 03 20 00 |;..4.}..|...||. .|
|00000ac0| 40 82 00 0c 38 60 00 01 | 48 00 00 e8 80 a2 00 80 |@...8`..|H.......|
|00000ad0| 28 05 00 00 41 82 00 10 | 80 62 00 80 48 00 09 99 |(...A...|.b..H...|
|00000ae0| 80 41 00 14 80 dd 00 00 | 54 df 08 3c 80 fd 00 00 |.A......|T..<....|
|00000af0| 54 e7 08 3c c8 22 00 d8 | 6c e7 80 00 90 e1 00 44 |T..<."..|l......D|
|00000b00| 3d 00 43 30 91 01 00 40 | c8 41 00 40 fc 22 08 28 |=.C0...@|.A.@.".(|
|00000b10| d8 21 00 38 57 e3 18 38 | 48 00 09 75 80 41 00 14 |.!.8W..8|H..u.A..|
|00000b20| 90 62 00 80 81 22 00 80 | 28 09 00 00 40 82 00 0c |.b..."..|(...@...|
|00000b30| 38 60 00 00 48 00 00 7c | 81 5d 00 00 91 42 00 7c |8`..H..||.]...B.||
|00000b40| 83 c2 00 80 cb e2 00 d0 | c8 62 00 e0 81 7d 00 00 |........|.b...}..|
|00000b50| c8 82 00 d8 6d 6b 80 00 | 91 61 00 44 3d 80 43 30 |....mk..|.a.D=.C0|
|00000b60| 91 81 00 40 c8 a1 00 40 | fc 85 20 28 ff c3 20 24 |...@...@|.. (.. $|
|00000b70| 48 00 00 2c fc 20 f8 90 | 48 00 09 2d 80 41 00 14 |H..,. ..|H..-.A..|
|00000b80| c8 c2 00 c8 fc c6 08 2a | c8 e2 00 c0 fc c6 38 24 |.......*|......8$|
|00000b90| d8 de 00 00 3b de 00 08 | ff ff f0 2a 7f e3 fb 78 |....;...|...*...x|
|00000ba0| 3b ff ff ff 2c 03 00 00 | 40 82 ff cc 38 60 00 01 |;...,...|@...8`..|
|00000bb0| 80 01 00 78 38 21 00 70 | cb e1 ff f8 cb c1 ff f0 |...x8!.p|........|
|00000bc0| 7c 08 03 a6 83 e1 ff ec | 83 c1 ff e8 83 a1 ff e4 ||.......|........|
|00000bd0| 4e 80 00 20 93 e1 ff fc | 93 c1 ff f8 38 82 02 34 |N.. ....|....8..4|
|00000be0| 80 84 00 00 54 9e 08 3c | 83 e2 00 80 48 00 00 20 |....T..<|....H.. |
|00000bf0| c8 3f 00 00 3b ff 00 08 | 7c 65 1b 78 38 63 00 08 |.?..;...||e.x8c..|
|00000c00| c8 45 00 00 fc 42 00 72 | d8 45 00 00 7f c6 f3 78 |.E...B.r|.E.....x|
|00000c10| 3b de ff ff 2c 06 00 00 | 40 82 ff d8 83 e1 ff fc |;...,...|@.......|
|00000c20| 83 c1 ff f8 4e 80 00 20 | 7c 08 02 a6 93 e1 ff fc |....N.. ||.......|
|00000c30| 93 c1 ff f8 93 a1 ff f4 | 90 01 00 08 94 21 ff b0 |........|.....!..|
|00000c40| 7c 7e 1b 78 7c 9d 23 78 | 3b e2 02 34 80 7f 00 00 ||~.x|.#x|;..4....|
|00000c50| 7c 1e 18 00 40 82 00 18 | 80 82 00 9c 7c 1d 20 00 ||...@...|....|. .|
|00000c60| 40 82 00 0c 38 60 00 01 | 48 00 00 e4 93 a2 00 9c |@...8`..|H.......|
|00000c70| 38 a0 00 01 90 a2 00 98 | 38 c0 00 02 90 df 00 00 |8.......|8.......|
|00000c80| 48 00 00 1c 80 ff 00 00 | 54 e7 08 3c 90 ff 00 00 |H.......|T..<....|
|00000c90| 81 02 00 98 39 08 00 01 | 91 02 00 98 81 3f 00 00 |....9...|.....?..|
|00000ca0| 7c 09 f0 00 41 80 ff e0 | 81 5f 00 00 7d 4a 0e 70 ||...A...|._..}J.p|
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|00000cc0| 41 82 00 10 80 62 00 90 | 48 00 07 ad 80 41 00 14 |A....b..|H....A..|
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|00000d40| 48 00 00 0c 4b ff fc 59 | 38 60 00 01 80 01 00 58 |H...K..Y|8`.....X|
|00000d50| 38 21 00 50 7c 08 03 a6 | 83 e1 ff fc 83 c1 ff f8 |8!.P|...|........|
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|00000e80| 91 81 ff ec 3c a0 43 30 | 90 a1 ff e8 c8 41 ff e8 |....<.C0|.....A..|
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|00000ed0| 57 e9 10 3a 7d 08 48 2e | 55 08 20 36 7d 43 42 14 |W..:}.H.|U. 6}CB.|
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|00000f30| 3b 42 02 34 3b a0 00 01 | 48 00 00 74 57 bb 08 3c |;B.4;...|H..tW..<|
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|00000f80| 4b ff f9 1d 60 00 00 00 | 7f ff da 14 81 3a 00 00 |K...`...|.....:..|
|00000f90| 7c 1f 48 00 40 81 ff c8 | 3b 39 00 01 7f 9c c2 14 ||.H.@...|;9......|
|00000fa0| 7c 19 e8 00 40 81 ff b0 | 7f 7d db 78 81 5a 00 00 ||...@...|.}.x.Z..|
|00000fb0| 7c 1d 50 00 41 80 ff 88 | 80 01 00 68 38 21 00 60 ||.P.A...|...h8!.`|
|00000fc0| 7c 08 03 a6 bb 01 ff e0 | 4e 80 00 20 7c 08 02 a6 ||.......|N.. |...|
|00000fd0| db e1 ff f8 db c1 ff f0 | 93 e1 ff ec 90 01 00 08 |........|........|
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|000011f0| fd 1e 3f 7a 57 ca 20 36 | 39 4a 00 08 7d 03 55 ae |..?zW. 6|9J..}.U.|
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|00001230| 39 8c 00 01 55 8c 20 36 | 7d 43 65 ae c9 62 00 a8 |9...U. 6|}Ce..b..|
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|00001250| 54 84 20 36 38 84 00 08 | 7d 83 25 ae cb e1 ff f8 |T. 68...|}.%.....|
|00001260| cb c1 ff f0 cb a1 ff e8 | cb 81 ff e0 cb 61 ff d8 |........|.....a..|
|00001270| cb 41 ff d0 83 e1 ff cc | 83 c1 ff c8 83 a1 ff c4 |.A......|........|
|00001280| 4e 80 00 20 db e1 ff f8 | db c1 ff f0 93 e1 ff ec |N.. ....|........|
|00001290| 93 c1 ff e8 93 a1 ff e4 | 3b a2 02 34 c8 22 00 a0 |........|;..4."..|
|000012a0| 80 9d 00 00 c8 42 00 d8 | 6c 84 80 00 90 81 ff dc |.....B..|l.......|
|000012b0| 3c a0 43 30 90 a1 ff d8 | c8 61 ff d8 fc 43 10 28 |<.C0....|.a...C.(|
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|000014e0| 80 4c 00 04 7c 09 03 a6 | 4e 80 04 20 81 82 00 0c |.L..|...|N.. ....|
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|00001500| 4e 80 04 20 00 00 00 00 | 00 00 00 00 00 00 00 00 |N.. ....|........|
|00001510| 00 2f 21 f0 82 02 10 02 | 2b 00 f8 02 26 01 00 02 |./!.....|+...&...|
|00001520| 1f 01 08 02 05 01 e1 01 | c2 01 ab 01 8a 01 6e 01 |........|......n.|
|00001530| 64 01 4e 01 2e 02 34 25 | 01 10 66 66 74 01 21 43 |d.N...4%|..fft.!C|
|00001540| 01 21 52 00 25 21 40 0f | 22 bf e0 86 02 01 3f e0 |.!R.%!@.|".....?.|
|00001550| 2a 3f f3 98 8e 13 ee 38 | 46 3f f0 06 2a c0 09 21 |*?.....8|F?..*..!|
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|00001580| a8 22 01 d0 04 3d 20 66 | 66 74 28 3f 29 20 65 78 |."...= f|ft(?) ex|
|00001590| 70 65 63 74 73 20 63 6f | 6d 70 6c 65 78 20 61 72 |pects co|mplex ar|
|000015a0| 72 61 79 01 3f 20 66 66 | 74 28 3f 29 20 73 69 7a |ray.? ff|t(?) siz|
|000015b0| 65 20 6d 75 73 74 20 62 | 65 20 70 6f 77 65 72 20 |e must b|e power |
|000015c0| 6f 66 20 32 01 35 20 66 | 66 74 28 29 20 6e 6f 74 |of 2.5 f|ft() not|
|000015d0| 20 65 6e 6f 75 67 68 20 | 6d 65 6d 01 29 74 72 61 | enough |mem.)tra|
|000015e0| 6e 73 66 6f 72 6d 01 3b | 20 72 66 66 74 28 3f 29 |nsform.;| rfft(?)|
|000015f0| 20 65 78 70 65 63 74 73 | 20 72 65 61 6c 20 61 72 | expects| real ar|
|00001600| 72 61 79 01 20 20 20 72 | 66 66 74 28 3f 29 20 73 |ray. r|fft(?) s|
|00001610| 69 7a 65 20 6d 75 73 74 | 20 62 65 20 70 6f 77 65 |ize must| be powe|
|00001620| 72 20 6f 66 20 32 01 36 | 20 72 66 66 74 28 29 20 |r of 2.6| rfft() |
|00001630| 6e 6f 74 20 65 6e 6f 75 | 67 68 20 6d 65 6d 01 3e |not enou|gh mem.>|
|00001640| 20 70 77 72 73 70 65 63 | 28 3f 29 20 65 78 70 65 | pwrspec|(?) expe|
|00001650| 63 74 73 20 72 65 61 6c | 20 61 72 72 61 79 01 20 |cts real| array. |
|00001660| 23 20 70 77 72 73 70 65 | 63 28 3f 29 20 73 69 7a |# pwrspe|c(?) siz|
|00001670| 65 20 6d 75 73 74 20 62 | 65 20 70 6f 77 65 72 20 |e must b|e power |
|00001680| 6f 66 20 32 01 39 20 70 | 77 72 73 70 65 63 28 29 |of 2.9 p|wrspec()|
|00001690| 20 6e 6f 74 20 65 6e 6f | 75 67 68 20 6d 65 6d 01 | not eno|ugh mem.|
|000016a0| 26 69 6e 76 66 66 74 01 | 24 72 66 66 74 01 27 70 |&invfft.|$rfft.'p|
|000016b0| 77 72 73 70 65 63 01 00 | 00 00 00 00 00 00 00 00 |wrspec..|........|
|000016c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000016d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000016e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000016f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001700| 00 00 01 00 00 00 20 c3 | 00 00 1f c3 00 00 00 9e |...... .|........|
|00001710| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001720| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001730| 03 66 66 74 02 00 00 00 | 43 46 75 6e 4d 50 61 64 |.fft....|CFunMPad|
|00001740| 01 00 00 00 00 00 00 00 | 00 00 10 e5 00 00 00 00 |........|........|
|00001750| 00 00 43 46 75 6e 4d 50 | 61 64 01 00 00 00 00 00 |..CFunMP|ad......|
|00001760| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|00001780| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001790| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017a0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000017f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001800| 00 00 03 17 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |....----|--------|
|00001810| 20 66 66 74 28 43 29 0d | 7e 0d 72 65 74 75 72 6e | fft(C).|~.return|
|00001820| 73 20 74 68 65 20 64 69 | 73 63 72 65 74 65 20 46 |s the di|screte F|
|00001830| 6f 75 72 69 65 72 20 74 | 72 61 6e 73 66 6f 72 6d |ourier t|ransform|
|00001840| 20 6f 66 20 61 72 72 61 | 79 20 43 20 69 6e 20 74 | of arra|y C in t|
|00001850| 68 65 20 67 6c 6f 62 61 | 6c 20 61 72 72 61 79 20 |he globa|l array |
|00001860| 22 74 72 61 6e 73 66 6f | 72 6d 22 2e 0d 0d 43 20 |"transfo|rm"...C |
|00001870| 69 73 20 61 6e 20 61 72 | 72 61 79 20 6f 66 20 6e |is an ar|ray of n|
|00001880| 20 73 61 6d 70 6c 65 73 | 20 28 6e 20 6d 75 73 74 | samples| (n must|
|00001890| 20 62 65 20 61 20 70 6f | 77 65 72 20 6f 66 20 32 | be a po|wer of 2|
|000018a0| 29 20 6f 66 20 61 20 63 | 6f 6d 70 6c 65 78 20 66 |) of a c|omplex f|
|000018b0| 75 6e 63 74 69 6f 6e 20 | 79 28 74 29 2e 20 46 6f |unction |y(t). Fo|
|000018c0| 72 20 73 61 6d 70 6c 65 | 20 70 65 72 69 6f 64 20 |r sample| period |
|000018d0| 64 74 2c 20 22 74 72 61 | 6e 73 66 6f 72 6d 22 20 |dt, "tra|nsform" |
|000018e0| 77 69 6c 6c 20 63 6f 6e | 74 61 69 6e 20 74 68 65 |will con|tain the|
|000018f0| 20 70 6f 73 69 74 69 76 | 65 20 61 6e 64 20 6e 65 | positiv|e and ne|
|00001900| 67 61 74 69 76 65 20 63 | 6f 6d 70 6c 65 78 20 66 |gative c|omplex f|
|00001910| 72 65 71 75 65 6e 63 79 | 20 63 6f 6d 70 6f 6e 65 |requency| compone|
|00001920| 6e 74 73 20 61 72 72 61 | 6e 67 65 64 20 61 73 0d |nts arra|nged as.|
|00001930| 0d 74 72 61 6e 73 66 6f | 72 6d 5b 31 5d 20 20 20 |.transfo|rm[1] |
|00001940| 20 20 66 3d 30 20 20 20 | 20 20 20 5b 31 2c 31 5d | f=0 | [1,1]|
|00001950| 20 72 65 61 6c 2e 20 5b | 31 2c 32 5d 20 69 6d 61 | real. [|1,2] ima|
|00001960| 67 69 6e 61 72 79 2e 0d | 74 72 61 6e 73 66 6f 72 |ginary..|transfor|
|00001970| 6d 5b 32 5d 20 20 20 20 | 20 66 3d 31 2f 28 6e 2a |m[2] | f=1/(n*|
|00001980| 64 74 29 0d 2e 2e 2e 0d | 74 72 61 6e 73 66 6f 72 |dt).....|transfor|
|00001990| 6d 5b 6e 2f 32 2b 31 5d | 20 66 3d 31 2f 28 32 2a |m[n/2+1]| f=1/(2*|
|000019a0| 64 74 29 20 61 6c 73 6f | 20 66 3d 2d 31 2f 28 32 |dt) also| f=-1/(2|
|000019b0| 2a 64 74 29 0d 74 72 61 | 6e 73 66 6f 72 6d 5b 6e |*dt).tra|nsform[n|
|000019c0| 2f 32 2b 32 5d 20 66 3d | 2d 28 6e 2f 32 2d 31 29 |/2+2] f=|-(n/2-1)|
|000019d0| 2f 28 6e 2a 64 74 29 0d | 2e 2e 2e 0d 74 72 61 6e |/(n*dt).|....tran|
|000019e0| 73 66 6f 72 6d 5b 6e 5d | 20 20 20 20 20 66 3d 2d |sform[n]| f=-|
|000019f0| 31 2f 28 6e 2a 64 74 29 | 0d 7e 0d 0d 79 28 74 29 |1/(n*dt)|.~..y(t)|
|00001a00| 20 3d 20 63 6f 73 28 33 | 36 30 2a 66 2a 74 2b 70 | = cos(3|60*f*t+p|
|00001a10| 68 69 29 20 20 20 20 20 | 2d 2d 20 65 78 61 6d 70 |hi) |-- examp|
|00001a20| 6c 65 20 66 75 6e 63 74 | 69 6f 6e 20 2a 2a 20 75 |le funct|ion ** u|
|00001a30| 73 65 73 20 64 65 67 72 | 65 65 73 20 2a 2a 0d 63 |ses degr|ees **.c|
|00001a40| 28 74 29 20 3d 20 7b 79 | 28 74 29 2c 30 7d 20 20 |(t) = {y|(t),0} |
|00001a50| 20 20 20 20 20 20 20 20 | 20 20 20 2d 2d 20 6d 61 | | -- ma|
|00001a60| 6b 65 20 69 74 20 61 20 | 63 6f 6d 70 6c 65 78 20 |ke it a |complex |
|00001a70| 66 75 6e 63 74 69 6f 6e | 0d 43 5b 69 5d 20 3d 20 |function|.C[i] = |
|00001a80| 63 28 64 74 2a 28 69 2d | 31 29 29 20 64 69 6d 5b |c(dt*(i-|1)) dim[|
|00001a90| 6e 5d 20 20 20 2d 2d 20 | 73 61 6d 70 6c 65 20 69 |n] -- |sample i|
|00001aa0| 74 20 61 74 20 70 65 72 | 69 6f 64 20 64 74 0d 0d |t at per|iod dt..|
|00001ab0| 6e 3d 38 3b 20 20 20 20 | 20 66 3d 33 3b 20 20 20 |n=8; | f=3; |
|00001ac0| 20 20 70 68 69 3d 33 30 | 3b 20 20 20 20 20 20 64 | phi=30|; d|
|00001ad0| 74 3d 31 2f 6e 0d 0d 66 | 66 74 28 43 29 3a 0d 4e |t=1/n..f|ft(C):.N|
|00001ae0| 6d 61 78 3d 6e 3b 20 4e | 73 74 65 70 73 3d 6e 0d |max=n; N|steps=n.|
|00001af0| 74 61 62 6c 65 20 20 4e | 2c 20 20 20 74 72 61 6e |table N|, tran|
|00001b00| 73 66 6f 72 6d 5b 4e 2c | 31 5d 2c 20 74 72 61 6e |sform[N,|1], tran|
|00001b10| 73 66 6f 72 6d 5b 4e 2c | 32 5d 0d 00 00 02 51 2d |sform[N,|2]....Q-|
|00001b20| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 20 |--------|------- |
|00001b30| 69 6e 76 66 66 74 28 43 | 29 0d 2d 2d 20 70 65 72 |invfft(C|).-- per|
|00001b40| 66 6f 72 6d 73 20 61 6e | 20 69 6e 76 65 72 73 65 |forms an| inverse|
|00001b50| 20 46 6f 75 72 69 65 72 | 20 74 72 61 6e 73 66 6f | Fourier| transfo|
|00001b60| 72 6d 2e 20 49 74 20 72 | 65 74 75 72 6e 73 20 74 |rm. It r|eturns t|
|00001b70| 68 65 20 74 69 6d 65 20 | 73 61 6d 70 6c 65 64 20 |he time |sampled |
|00001b80| 63 6f 6d 70 6c 65 78 20 | 66 75 6e 63 74 69 6f 6e |complex |function|
|00001b90| 20 69 6e 20 74 68 65 20 | 67 6c 6f 62 61 6c 20 61 | in the |global a|
|00001ba0| 72 72 61 79 20 22 74 72 | 61 6e 73 66 6f 72 6d 22 |rray "tr|ansform"|
|00001bb0| 2e 0d 0d 63 28 74 29 20 | 3d 20 7b 74 2a 66 2d 74 |...c(t) |= {t*f-t|
|00001bc0| 72 75 6e 63 28 74 2a 66 | 29 2d 2e 35 2c 30 7d 20 |runc(t*f|)-.5,0} |
|00001bd0| 20 2d 2d 20 65 78 61 6d | 70 6c 65 20 63 6f 6d 70 | -- exam|ple comp|
|00001be0| 6c 65 78 20 66 75 6e 63 | 74 69 6f 6e 20 0d 43 5b |lex func|tion .C[|
|00001bf0| 69 5d 20 3d 20 63 28 64 | 74 2a 28 69 2d 31 29 29 |i] = c(d|t*(i-1))|
|00001c00| 20 64 69 6d 5b 6e 5d 20 | 20 20 20 20 2d 2d 20 73 | dim[n] | -- s|
|00001c10| 61 6d 70 6c 65 20 74 68 | 65 20 66 75 6e 63 74 69 |ample th|e functi|
|00001c20| 6f 6e 0d 6e 3d 36 34 3b | 20 20 20 20 20 66 3d 34 |on.n=64;| f=4|
|00001c30| 3b 20 20 20 20 20 20 64 | 74 3d 31 2f 6e 0d 0d 58 |; d|t=1/n..X|
|00001c40| 6d 69 6e 3d 30 3b 20 58 | 6d 61 78 3d 64 74 2a 28 |min=0; X|max=dt*(|
|00001c50| 6e 2d 31 29 3b 20 58 73 | 74 65 70 73 3d 33 30 30 |n-1); Xs|teps=300|
|00001c60| 3b 20 58 6c 61 62 65 6c | 3d 22 73 65 63 73 22 0d |; Xlabel|="secs".|
|00001c70| 70 6c 6f 74 20 63 28 58 | 29 5b 31 5d 0d 70 6c 6f |plot c(X|)[1].plo|
|00001c80| 74 20 72 65 61 6c 70 61 | 72 74 28 43 29 0d 0d 66 |t realpa|rt(C)..f|
|00001c90| 66 74 28 43 29 3a 3b 20 | 20 20 20 20 20 20 20 20 |ft(C):; | |
|00001ca0| 20 20 20 20 2d 2d 20 74 | 72 61 6e 73 66 6f 72 6d | -- t|ransform|
|00001cb0| 20 69 74 0d 0d 6e 65 77 | 61 78 69 73 0d 2d 2d 20 | it..new|axis.-- |
|00001cc0| 69 6e 76 65 72 73 65 20 | 74 72 61 6e 73 66 6f 72 |inverse |transfor|
|00001cd0| 6d 20 73 68 6f 75 6c 64 | 20 6d 61 74 63 68 20 6f |m should| match o|
|00001ce0| 72 69 67 69 6e 61 6c 20 | 74 69 6d 65 20 73 61 6d |riginal |time sam|
|00001cf0| 70 6c 65 73 0d 69 6e 76 | 66 66 74 28 74 72 61 6e |ples.inv|fft(tran|
|00001d00| 73 66 6f 72 6d 29 3a 0d | 70 6c 6f 74 20 72 65 61 |sform):.|plot rea|
|00001d10| 6c 70 61 72 74 28 74 72 | 61 6e 73 66 6f 72 6d 29 |lpart(tr|ansform)|
|00001d20| 0d 0d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |..------|--------|
|00001d30| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00001d40| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 0d 72 65 61 6c 70 61 |--------|-.realpa|
|00001d50| 72 74 28 7a 29 5b 69 5d | 20 3d 20 7a 5b 69 2c 31 |rt(z)[i]| = z[i,1|
|00001d60| 5d 20 64 69 6d 5b 63 6f | 75 6e 74 28 7a 29 5d 0d |] dim[co|unt(z)].|
|00001d70| 00 00 02 15 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |....----|--------|
|00001d80| 2d 2d 2d 2d 20 72 66 66 | 74 28 52 29 0d 2d 2d 20 |---- rff|t(R).-- |
|00001d90| 74 61 6b 65 73 20 61 20 | 72 65 61 6c 20 61 72 72 |takes a |real arr|
|00001da0| 61 79 20 52 20 61 73 20 | 69 6e 70 75 74 20 61 6e |ay R as |input an|
|00001db0| 64 20 72 65 74 75 72 6e | 73 20 6f 6e 6c 79 20 74 |d return|s only t|
|00001dc0| 68 65 20 70 6f 73 69 74 | 69 76 65 20 66 72 65 71 |he posit|ive freq|
|00001dd0| 75 65 6e 63 79 20 63 6f | 6d 70 6f 6e 65 6e 74 73 |uency co|mponents|
|00001de0| 20 6f 66 20 74 68 65 20 | 64 69 73 63 72 65 74 65 | of the |discrete|
|00001df0| 20 46 6f 75 72 69 65 72 | 20 74 72 61 6e 73 66 6f | Fourier| transfo|
|00001e00| 72 6d 20 69 6e 20 74 68 | 65 20 67 6c 6f 62 61 6c |rm in th|e global|
|00001e10| 20 61 72 72 61 79 20 22 | 74 72 61 6e 73 66 6f 72 | array "|transfor|
|00001e20| 6d 22 2e 20 57 68 65 6e | 20 74 68 65 20 69 6e 70 |m". When| the inp|
|00001e30| 75 74 20 69 73 20 72 65 | 61 6c 2c 20 75 73 69 6e |ut is re|al, usin|
|00001e40| 67 20 74 68 69 73 20 72 | 6f 75 74 69 6e 65 20 69 |g this r|outine i|
|00001e50| 73 20 6d 6f 72 65 20 65 | 66 66 69 63 69 65 6e 74 |s more e|fficient|
|00001e60| 20 74 68 61 6e 20 73 65 | 74 74 69 6e 67 20 74 68 | than se|tting th|
|00001e70| 65 20 69 6d 61 67 69 6e | 61 72 79 20 70 61 72 74 |e imagin|ary part|
|00001e80| 20 74 6f 20 30 20 61 6e | 64 20 75 73 69 6e 67 20 | to 0 an|d using |
|00001e90| 66 66 74 28 29 2e 0d 0d | 79 28 74 29 20 3d 20 63 |fft()...|y(t) = c|
|00001ea0| 6f 73 28 33 36 30 2a 66 | 2a 74 2b 70 68 69 29 20 |os(360*f|*t+phi) |
|00001eb0| 20 20 20 20 2d 2d 20 65 | 78 61 6d 70 6c 65 20 66 | -- e|xample f|
|00001ec0| 75 6e 63 74 69 6f 6e 20 | 2a 2a 20 75 73 65 73 20 |unction |** uses |
|00001ed0| 64 65 67 72 65 65 73 20 | 2a 2a 0d 52 5b 69 5d 20 |degrees |**.R[i] |
|00001ee0| 3d 20 79 28 64 74 2a 28 | 69 2d 31 29 29 20 64 69 |= y(dt*(|i-1)) di|
|00001ef0| 6d 5b 6e 5d 20 20 20 2d | 2d 20 73 61 6d 70 6c 65 |m[n] -|- sample|
|00001f00| 20 69 74 20 61 74 20 70 | 65 72 69 6f 64 20 64 74 | it at p|eriod dt|
|00001f10| 0d 6e 3d 38 3b 20 20 20 | 20 20 66 3d 33 3b 20 20 |.n=8; | f=3; |
|00001f20| 20 20 20 70 68 69 3d 33 | 30 3b 20 20 20 20 20 20 | phi=3|0; |
|00001f30| 64 74 3d 31 2f 6e 0d 0d | 4e 6d 61 78 3a 3d 6e 2f |dt=1/n..|Nmax:=n/|
|00001f40| 32 2b 31 3a 3b 20 20 4e | 73 74 65 70 73 3a 3d 4e |2+1:; N|steps:=N|
|00001f50| 6d 61 78 3a 0d 72 66 66 | 74 28 52 29 3a 0d 74 61 |max:.rff|t(R):.ta|
|00001f60| 62 6c 65 20 20 4e 2c 20 | 20 20 74 72 61 6e 73 66 |ble N, | transf|
|00001f70| 6f 72 6d 5b 4e 2c 31 5d | 2c 20 74 72 61 6e 73 66 |orm[N,1]|, transf|
|00001f80| 6f 72 6d 5b 4e 2c 32 5d | 0d 00 00 02 5c 2d 2d 2d |orm[N,2]|....\---|
|00001f90| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 20 70 77 72 |--------|---- pwr|
|00001fa0| 73 70 65 63 28 52 29 0d | 2d 2d 20 72 65 74 75 72 |spec(R).|-- retur|
|00001fb0| 6e 73 20 61 20 70 6f 77 | 65 72 20 73 70 65 63 74 |ns a pow|er spect|
|00001fc0| 72 75 6d 20 65 73 74 69 | 6d 61 74 65 20 6f 66 20 |rum esti|mate of |
|00001fd0| 74 68 65 20 72 65 61 6c | 20 61 72 72 61 79 20 52 |the real| array R|
|00001fe0| 20 69 6e 20 74 68 65 20 | 67 6c 6f 62 61 6c 20 61 | in the |global a|
|00001ff0| 72 72 61 79 20 22 74 72 | 61 6e 73 66 6f 72 6d 22 |rray "tr|ansform"|
|00002000| 2e 20 54 68 69 73 20 72 | 6f 75 74 69 6e 65 20 6d |. This r|outine m|
|00002010| 75 6c 74 69 70 6c 69 65 | 73 20 52 20 62 79 20 61 |ultiplie|s R by a|
|00002020| 20 63 6f 73 69 6e 65 20 | 77 69 6e 64 6f 77 20 74 | cosine |window t|
|00002030| 6f 20 72 65 64 75 63 65 | 20 66 72 65 71 75 65 6e |o reduce| frequen|
|00002040| 63 79 20 73 70 72 65 61 | 64 2e 20 54 68 65 20 6f |cy sprea|d. The o|
|00002050| 75 74 70 75 74 20 69 73 | 20 73 63 61 6c 65 64 20 |utput is| scaled |
|00002060| 73 6f 20 74 68 61 74 20 | 74 68 65 20 73 75 6d 20 |so that |the sum |
|00002070| 6f 76 65 72 20 61 6c 6c | 20 66 72 65 71 75 65 6e |over all| frequen|
|00002080| 63 69 65 73 20 69 73 20 | 61 6e 20 65 73 74 69 6d |cies is |an estim|
|00002090| 61 74 65 20 6f 66 20 74 | 68 65 20 6d 65 61 6e 20 |ate of t|he mean |
|000020a0| 73 71 75 61 72 65 64 20 | 61 6d 70 6c 69 74 75 64 |squared |amplitud|
|000020b0| 65 20 6f 66 20 74 68 65 | 20 69 6e 70 75 74 2e 0d |e of the| input..|
|000020c0| 0d 72 28 74 29 20 3d 20 | 74 2a 66 2d 74 72 75 6e |.r(t) = |t*f-trun|
|000020d0| 63 28 74 2a 66 29 2d 2e | 35 20 20 2d 2d 20 65 78 |c(t*f)-.|5 -- ex|
|000020e0| 61 6d 70 6c 65 20 66 75 | 6e 63 74 69 6f 6e 20 28 |ample fu|nction (|
|000020f0| 73 61 77 74 6f 6f 74 68 | 20 77 61 76 65 29 0d 0d |sawtooth| wave)..|
|00002100| 52 5b 69 5d 20 3d 20 72 | 28 64 74 2a 28 69 2d 31 |R[i] = r|(dt*(i-1|
|00002110| 29 29 20 64 69 6d 5b 6e | 5d 20 2d 2d 20 73 61 6d |)) dim[n|] -- sam|
|00002120| 70 6c 65 20 74 68 65 20 | 66 75 6e 63 74 69 6f 6e |ple the |function|
|00002130| 0d 6e 3d 31 32 38 3b 20 | 20 20 20 20 66 3d 38 3b |.n=128; | f=8;|
|00002140| 20 20 20 20 20 20 64 74 | 3d 31 2f 6e 0d 0d 58 6d | dt|=1/n..Xm|
|00002150| 69 6e 3d 30 3b 20 58 6d | 61 78 3d 64 74 2a 28 6e |in=0; Xm|ax=dt*(n|
|00002160| 2d 31 29 3b 20 58 73 74 | 65 70 73 3d 33 30 30 3b |-1); Xst|eps=300;|
|00002170| 20 58 6c 61 62 65 6c 3d | 22 73 65 63 73 22 0d 70 | Xlabel=|"secs".p|
|00002180| 6c 6f 74 20 72 28 58 29 | 0d 70 6c 6f 74 20 52 0d |lot r(X)|.plot R.|
|00002190| 0d 6e 65 77 61 78 69 73 | 0d 58 6d 69 6e 3a 3d 30 |.newaxis|.Xmin:=0|
|000021a0| 3a 3b 20 58 6d 61 78 3a | 3d 31 2f 28 32 2a 64 74 |:; Xmax:|=1/(2*dt|
|000021b0| 29 3a 3b 20 58 64 69 76 | 3d 38 3b 20 58 6c 61 62 |):; Xdiv|=8; Xlab|
|000021c0| 65 6c 3a 3d 22 48 7a 22 | 3a 0d 70 77 72 73 70 65 |el:="Hz"|:.pwrspe|
|000021d0| 63 28 52 29 3a 0d 70 6c | 6f 74 6c 69 6e 65 20 74 |c(R):.pl|otline t|
|000021e0| 72 61 6e 73 66 6f 72 6d | 0d 00 00 15 7e 60 0a 00 |ransform|....~`..|
|000021f0| 00 58 46 75 6e 00 00 00 | 00 4e fa 04 96 41 fa ff |.XFun...|.N...A..|
|00002200| ee d1 fc 00 00 94 32 20 | 08 a0 55 c1 8c 4e 75 4e |......2 |..U..NuN|
|00002210| 75 2f 2f 00 10 2f 2f 00 | 10 2f 2f 00 10 2f 2f 00 |u//..//.|.//..//.|
|00002220| 10 42 a7 20 6c 81 48 4e | 90 4f ef 00 14 4e 75 2f |.B. l.HN|.O...Nu/|
|00002230| 2f 00 08 2f 2f 00 08 48 | 78 00 01 20 6c 81 48 4e |/..//..H|x.. l.HN|
|00002240| 90 4f ef 00 0c 4e 75 2f | 2f 00 04 48 78 00 02 20 |.O...Nu/|/..Hx.. |
|00002250| 6c 81 48 4e 90 50 4f 4e | 75 2f 2f 00 10 2f 2f 00 |l.HN.PON|u//..//.|
|00002260| 10 2f 2f 00 10 2f 2f 00 | 10 48 78 00 0c 20 6c 81 |.//..//.|.Hx.. l.|
|00002270| 48 4e 90 4f ef 00 14 4e | 75 2f 2f 00 08 2f 2f 00 |HN.O...N|u//..//.|
|00002280| 08 48 78 00 05 20 6c 81 | 48 4e 90 4f ef 00 0c 4e |.Hx.. l.|HN.O...N|
|00002290| 75 2f 2f 00 10 2f 2f 00 | 10 2f 2f 00 10 2f 2f 00 |u//..//.|.//..//.|
|000022a0| 10 48 78 00 0e 20 6c 81 | 48 4e 90 4f ef 00 14 4e |.Hx.. l.|HN.O...N|
|000022b0| 75 48 78 00 0f 20 6c 81 | 48 4e 90 58 4f 4e 75 20 |uHx.. l.|HN.XONu |
|000022c0| 0c 49 fa 00 06 28 54 4e | 75 00 00 00 00 41 fa ff |.I...(TN|u....A..|
|000022d0| fa 20 8c 4e 75 48 e7 10 | 30 4f ef ff f0 95 ca 42 |. .NuH..|0O.....B|
|000022e0| af 00 0c 48 6f 00 04 42 | a7 4e ba ff 8e 48 6f 00 |...Ho..B|.N...Ho.|
|000022f0| 08 48 6f 00 14 48 6f 00 | 1c 2f 2f 00 18 4e ba ff |.Ho..Ho.|.//..N..|
|00002300| 5a 36 00 2f 2f 00 1c 4e | ba ff 3e 70 02 b0 af 00 |Z6.//..N|..>p....|
|00002310| 1c 4f ef 00 1c 66 08 70 | 04 b0 af 00 08 6f 0c 42 |.O...f.p|.....o.B|
|00002320| a7 48 6c 81 0e 4e ba ff | 08 50 4f 4a 43 67 00 00 |.Hl..N..|.POJCg..|
|00002330| 90 4e ba ff 7e 4a 40 66 | 00 00 86 3f 2f 00 20 3f |.N..~J@f|...?/. ?|
|00002340| 2f 00 0c 4e ba 06 d6 36 | 00 30 6c 81 2c b1 ef 00 |/..N...6|.0l.,...|
|00002350| 0c 58 4f 67 0e 42 a7 48 | 6c 80 ee 4e ba fe d2 76 |.XOg.B.H|l..N...v|
|00002360| 00 50 4f 4a 43 67 0a 70 | 14 c0 ec 81 2c a1 1e 24 |.POJCg.p|....,..$|
|00002370| 48 4a 43 67 04 20 0a 66 | 0e 42 a7 48 6c 80 d8 4e |HJCg. .f|.B.Hl..N|
|00002380| ba fe ae 50 4f 60 38 26 | 4a 47 eb ff ec 2f 2f 00 |...PO`8&|JG...//.|
|00002390| 0c 2f 0b 4e ba 07 a0 20 | 6f 00 14 a0 1f 42 af 00 |./.N... |o....B..|
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|000023b0| 08 2f 0a 48 6c 80 ce 4e | ba fe d8 4f ef 00 1c 4a |./.Hl..N|...O...J|
|000023c0| af 00 0c 67 06 20 6f 00 | 0c a0 1f 4f ef 00 10 4c |...g. o.|...O...L|
|000023d0| df 0c 08 4e 75 59 4f 4e | ba fe e6 2e 80 3f 3c ff |...NuYON|.....?<.|
|000023e0| ff 4e ba fe f2 20 2f 00 | 02 c1 8c 70 00 5c 4f 4e |.N... /.|...p.\ON|
|000023f0| 75 59 4f 4e ba fe ca 2e | 80 3f 3c 00 01 4e ba fe |uYON....|.?<..N..|
|00002400| d6 20 2f 00 02 c1 8c 70 | 00 5c 4f 4e 75 48 e7 18 |. /....p|.\ONuH..|
|00002410| 30 4f ef ff f0 95 ca 42 | af 00 0c 4e ba fe a2 28 |0O.....B|...N...(|
|00002420| 00 48 6f 00 04 42 a7 4e | ba fe 50 48 6f 00 08 48 |.Ho..B.N|..PHo..H|
|00002430| 6f 00 14 48 6f 00 1c 2f | 2f 00 18 4e ba fe 1c 36 |o..Ho../|/..N...6|
|00002440| 00 2f 2f 00 1c 4e ba fe | 00 4a af 00 1c 4f ef 00 |.//..N..|.J...O..|
|00002450| 1c 66 08 70 04 b0 af 00 | 08 6f 0c 42 a7 48 6c 80 |.f.p....|.o.B.Hl.|
|00002460| b2 4e ba fd cc 50 4f 4a | 43 67 00 00 be 4e ba fe |.N...POJ|Cg...N..|
|00002470| 42 4a 40 66 00 00 b4 20 | 2f 00 08 e0 88 e0 88 e0 |BJ@f... |/.......|
|00002480| 88 ee 88 d0 af 00 08 e2 | 80 2f 40 00 08 3f 3c 00 |........|./@..?<.|
|00002490| 01 3f 2f 00 0c 4e ba 05 | 84 36 00 30 6c 81 2c b1 |.?/..N..|.6.0l.,.|
|000024a0| ef 00 0c 58 4f 67 0e 42 | a7 48 6c 80 90 4e ba fd |...XOg.B|.Hl..N..|
|000024b0| 80 76 00 50 4f 4a 43 67 | 06 4e ba 07 ae 36 00 4a |.v.POJCg|.N...6.J|
|000024c0| 43 67 0e 30 2c 81 2c 52 | 40 c0 fc 00 14 a1 1e 24 |Cg.0,.,R|@......$|
|000024d0| 48 4a 43 67 04 20 0a 66 | 0e 42 a7 48 6c 80 79 4e |HJCg. .f|.B.Hl.yN|
|000024e0| ba fd 4e 50 4f 60 42 26 | 4a 47 eb ff ec 2f 2f 00 |..NPO`B&|JG...//.|
|000024f0| 0c 2f 0b 4e ba 05 e0 20 | 6f 00 14 a0 1f 42 af 00 |./.N... |o....B..|
|00002500| 14 2f 0b 4e ba 06 f0 2f | 0b 4e ba 08 9e 48 78 00 |./.N.../|.N...Hx.|
|00002510| 02 30 2c 81 2c 52 40 48 | c0 2f 00 2f 0a 48 6c 80 |.0,.,R@H|././.Hl.|
|00002520| ce 4e ba fd 6e 4f ef 00 | 20 4a af 00 0c 67 06 20 |.N..nO..| J...g. |
|00002530| 6f 00 0c a0 1f 20 04 c1 | 8c 70 00 4f ef 00 10 4c |o.... ..|.p.O...L|
|00002540| df 0c 18 4e 75 48 e7 1c | 30 4f ef ff f0 95 ca 42 |...NuH..|0O.....B|
|00002550| af 00 0c 4e ba fd 6a 2a | 00 48 6f 00 04 42 a7 4e |...N..j*|.Ho..B.N|
|00002560| ba fd 18 48 6f 00 08 48 | 6f 00 14 48 6f 00 1c 2f |...Ho..H|o..Ho../|
|00002570| 2f 00 18 4e ba fc e4 36 | 00 2f 2f 00 1c 4e ba fc |/..N...6|.//..N..|
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|00002590| 08 6f 0c 42 a7 48 6c 80 | 5a 4e ba fc 94 50 4f 4a |.o.B.Hl.|ZN...POJ|
|000025a0| 43 67 00 00 d2 4e ba fd | 0a 4a 40 66 00 00 c8 28 |Cg...N..|.J@f...(|
|000025b0| 2f 00 08 e0 8c e0 8c e0 | 8c ee 8c d8 af 00 08 e2 |/.......|........|
|000025c0| 84 3f 3c 00 01 3f 04 4e | ba 04 52 36 00 30 2c 81 |.?<..?.N|..R6.0,.|
|000025d0| 2c d0 40 48 c0 b0 af 00 | 0c 58 4f 67 0e 42 a7 48 |,.@H....|.XOg.B.H|
|000025e0| 6c 80 36 4e ba fc 4a 76 | 00 50 4f 4a 43 67 06 4e |l.6N..Jv|.POJCg.N|
|000025f0| ba 06 78 36 00 4a 43 67 | 06 4e ba 02 7c 36 00 4a |..x6.JCg|.N..|6.J|
|00002600| 43 67 0e 30 2c 81 2c 52 | 40 c0 fc 00 14 a1 1e 24 |Cg.0,.,R|@......$|
|00002610| 48 4a 43 67 04 20 0a 66 | 0e 42 a7 48 6c 80 1c 4e |HJCg. .f|.B.Hl..N|
|00002620| ba fc 0e 50 4f 60 4e 2f | 2f 00 0c 4e ba 03 b6 26 |...PO`N/|/..N...&|
|00002630| 4a 47 eb ff ec 2f 2f 00 | 10 2f 0b 4e ba 04 98 20 |JG...//.|./.N... |
|00002640| 6f 00 18 a0 1f 42 af 00 | 18 2f 0b 4e ba 05 a8 2f |o....B..|./.N.../|
|00002650| 0b 4e ba 07 56 2f 0a 4e | ba 0b d6 42 a7 30 2c 81 |.N..V/.N|...B.0,.|
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|00002e30| 0e 00 0e 3f 69 00 12 00 | 12 48 68 00 0a 48 6f 00 |...?i...|.Hh..Ho.|
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|00002e70| 08 00 26 70 14 c1 c4 20 | 4a d1 c0 70 14 c1 c3 22 |..&p... |J..p..."|
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|00002ee0| 51 00 0a 2f 69 00 04 00 | 0e 3f 69 00 08 00 12 48 |Q../i...|.?i....H|
|00002ef0| 50 48 6f 00 0e 3f 3c 00 | 02 a9 eb 2e bc bf fe 80 |PHo..?<.|........|
|00002f00| 00 42 af 00 04 42 6f 00 | 08 48 6f 00 0a 48 6f 00 |.B...Bo.|.Ho..Ho.|
|00002f10| 04 3f 3c 00 04 a9 eb 2f | 57 00 32 2f 6f 00 04 00 |.?<..../|W.2/o...|
|00002f20| 36 3f 6f 00 08 00 3a 70 | 14 c1 c3 20 6c 81 3c d1 |6?o...:p|... l.<.|
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|00002f40| 58 70 14 c1 c3 20 6c 81 | 3c d1 c0 2f 68 00 0a 00 |Xp... l.|<../h...|
|00002f50| 46 2f 68 00 0e 00 4a 3f | 68 00 12 00 4e 2f 6f 00 |F/h...J?|h...N/o.|
|00002f60| 46 00 0a 2f 6f 00 4a 00 | 0e 3f 6f 00 4e 00 12 48 |F../o.J.|.?o.N..H|
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|00002f80| 50 2f 6f 00 54 00 04 3f | 6f 00 58 00 08 48 6f 00 |P/o.T..?|o.X..Ho.|
|00002f90| 3c 48 6f 00 04 3f 3c 00 | 04 a9 eb 2f 6f 00 28 00 |<Ho..?<.|.../o.(.|
|00002fa0| 14 2f 6f 00 2c 00 18 3f | 6f 00 30 00 1c 48 57 48 |./o.,..?|o.0..HWH|
|00002fb0| 6f 00 18 3f 3c 00 00 a9 | eb 48 6f 00 0a 48 6f 00 |o..?<...|.Ho..Ho.|
|00002fc0| 18 3f 3c 00 02 a9 eb 70 | 14 c1 c3 20 4a d1 c0 20 |.?<....p|... J.. |
|00002fd0| af 00 14 21 6f 00 18 00 | 04 31 6f 00 1c 00 08 2f |...!o...|.1o..../|
|00002fe0| 6f 00 46 00 14 2f 6f 00 | 4a 00 18 3f 6f 00 4e 00 |o.F../o.|J..?o.N.|
|00002ff0| 1c 48 6f 00 3c 48 6f 00 | 18 3f 3c 00 04 a9 eb 2f |.Ho.<Ho.|.?<..../|
|00003000| 6f 00 50 00 0a 2f 6f 00 | 54 00 0e 3f 6f 00 58 00 |o.P../o.|T..?o.X.|
|00003010| 12 48 6f 00 32 48 6f 00 | 0e 3f 3c 00 04 a9 eb 2e |.Ho.2Ho.|.?<.....|
|00003020| af 00 1e 2f 6f 00 22 00 | 04 3f 6f 00 26 00 08 48 |.../o.".|.?o.&..H|
|00003030| 6f 00 0a 48 6f 00 04 3f | 3c 00 00 a9 eb 48 6f 00 |o..Ho..?|<....Ho.|
|00003040| 14 48 6f 00 04 3f 3c 00 | 00 a9 eb 70 14 c1 c3 20 |.Ho..?<.|...p... |
|00003050| 4a d1 c0 21 57 00 0a 21 | 6f 00 04 00 0e 31 6f 00 |J..!W..!|o....1o.|
|00003060| 08 00 12 2f 6f 00 46 00 | 14 2f 6f 00 4a 00 18 3f |.../o.F.|./o.J..?|
|00003070| 6f 00 4e 00 1c 48 6f 00 | 32 48 6f 00 18 3f 3c 00 |o.N..Ho.|2Ho..?<.|
|00003080| 04 a9 eb 2f 6f 00 50 00 | 0a 2f 6f 00 54 00 0e 3f |.../o.P.|./o.T..?|
|00003090| 6f 00 58 00 12 48 6f 00 | 3c 48 6f 00 0e 3f 3c 00 |o.X..Ho.|<Ho..?<.|
|000030a0| 04 a9 eb 2e af 00 28 2f | 6f 00 2c 00 04 3f 6f 00 |......(/|o.,..?o.|
|000030b0| 30 00 08 48 6f 00 0a 48 | 6f 00 04 3f 3c 00 02 a9 |0..Ho..H|o..?<...|
|000030c0| eb 48 6f 00 14 48 6f 00 | 04 3f 3c 00 00 a9 eb 70 |.Ho..Ho.|.?<....p|
|000030d0| 14 c1 c4 20 4a d1 c0 20 | 97 21 6f 00 04 00 04 31 |... J.. |.!o....1|
|000030e0| 6f 00 08 00 08 2f 6f 00 | 46 00 14 2f 6f 00 4a 00 |o..../o.|F../o.J.|
|000030f0| 18 3f 6f 00 4e 00 1c 48 | 6f 00 3c 48 6f 00 18 3f |.?o.N..H|o.<Ho..?|
|00003100| 3c 00 04 a9 eb 2f 6f 00 | 50 00 0a 2f 6f 00 54 00 |<..../o.|P../o.T.|
|00003110| 0e 3f 6f 00 58 00 12 48 | 6f 00 32 48 6f 00 0e 3f |.?o.X..H|o.2Ho..?|
|00003120| 3c 00 04 a9 eb 2e af 00 | 1e 2f 6f 00 22 00 04 3f |<.......|./o."..?|
|00003130| 6f 00 26 00 08 48 57 3f | 3c 00 0d a9 eb 48 6f 00 |o.&..HW?|<....Ho.|
|00003140| 0a 48 6f 00 04 3f 3c 00 | 00 a9 eb 48 6f 00 14 48 |.Ho..?<.|...Ho..H|
|00003150| 6f 00 04 3f 3c 00 00 a9 | eb 70 14 c1 c4 20 4a d1 |o..?<...|.p... J.|
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|00003170| 12 53 44 52 43 b6 6c 81 | 32 6f 00 fc 44 2f 6a 00 |.SDRC.l.|2o..D/j.|
|00003180| 14 00 28 2f 6a 00 18 00 | 2c 3f 6a 00 1c 00 30 2f |..(/j...|,?j...0/|
|00003190| 6f 00 28 00 14 2f 6f 00 | 2c 00 18 3f 6f 00 30 00 |o.(../o.|,..?o.0.|
|000031a0| 1c 48 6a 00 1e 48 6f 00 | 18 3f 3c 00 00 a9 eb 25 |.Hj..Ho.|.?<....%|
|000031b0| 6f 00 14 00 14 25 6f 00 | 18 00 18 35 6f 00 1c 00 |o....%o.|...5o...|
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|000031d0| 30 00 1c 48 6a 00 1e 48 | 6f 00 18 3f 3c 00 02 a9 |0..Hj..H|o..?<...|
|000031e0| eb 30 2c 81 2c 52 40 c1 | fc 00 14 20 4a d1 c0 20 |.0,.,R@.|... J.. |
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|00003220| 0e 42 68 00 12 4f ef 00 | 5a 4c df 04 18 4e 75 48 |.Bh..O..|ZL...NuH|
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|00003240| 57 48 6f 00 04 3f 3c 20 | 0e a9 eb 3f 6c 81 2c 00 |WHo..?< |...?l.,.|
|00003250| 0a 48 6f 00 0a 48 6f 00 | 0e 3f 3c 20 0e a9 eb 48 |.Ho..Ho.|.?< ...H|
|00003260| 57 48 6f 00 0e 3f 3c 00 | 04 a9 eb 2f 7c 40 00 80 |WHo..?<.|.../|@..|
|00003270| 00 00 14 42 af 00 18 42 | 6f 00 1c 48 6f 00 0a 48 |...B...B|o..Ho..H|
|00003280| 6f 00 18 3f 3c 00 04 a9 | eb 2f 6f 00 14 00 1e 2f |o..?<...|./o..../|
|00003290| 6f 00 18 00 22 3f 6f 00 | 1c 00 26 24 4b 20 4b 70 |o..."?o.|..&$K Kp|
|000032a0| 14 d7 c0 43 ef 00 32 70 | 04 22 d8 51 c8 ff fc 2f |...C..2p|.".Q.../|
|000032b0| 6f 00 32 00 14 2f 6f 00 | 36 00 18 3f 6f 00 3a 00 |o.2../o.|6..?o.:.|
|000032c0| 1c 48 6f 00 32 48 6f 00 | 18 3f 3c 00 04 a9 eb 2f |.Ho.2Ho.|.?<..../|
|000032d0| 6f 00 14 00 28 2f 6f 00 | 18 00 2c 3f 6f 00 1c 00 |o...(/o.|..,?o...|
|000032e0| 30 2f 7c 3f fe 80 00 00 | 14 42 af 00 18 42 6f 00 |0/|?....|.B...Bo.|
|000032f0| 1c 48 6f 00 28 48 6f 00 | 18 3f 3c 00 04 a9 eb 48 |.Ho.(Ho.|.?<....H|
|00003300| 6f 00 1e 48 6f 00 18 3f | 3c 00 06 a9 eb 20 4a 70 |o..Ho..?|<.... Jp|
|00003310| 0a d5 c0 20 af 00 14 21 | 6f 00 18 00 04 31 6f 00 |... ...!|o....1o.|
|00003320| 1c 00 08 36 2c 81 2c 53 | 43 60 00 00 aa 20 4b 70 |...6,.,S|C`... Kp|
|00003330| 14 d7 c0 43 ef 00 32 70 | 04 22 d8 51 c8 ff fc 2f |...C..2p|.".Q.../|
|00003340| 6f 00 3c 00 14 2f 6f 00 | 40 00 18 3f 6f 00 44 00 |o.<../o.|@..?o.D.|
|00003350| 1c 48 6f 00 3c 48 6f 00 | 18 3f 3c 00 04 a9 eb 2f |.Ho.<Ho.|.?<..../|
|00003360| 6f 00 32 00 0a 2f 6f 00 | 36 00 0e 3f 6f 00 3a 00 |o.2../o.|6..?o.:.|
|00003370| 12 48 6f 00 32 48 6f 00 | 0e 3f 3c 00 04 a9 eb 48 |.Ho.2Ho.|.?<....H|
|00003380| 6f 00 14 48 6f 00 0e 3f | 3c 00 00 a9 eb 2f 6f 00 |o..Ho..?|<..../o.|
|00003390| 0a 00 28 2f 6f 00 0e 00 | 2c 3f 6f 00 12 00 30 2f |..(/o...|,?o...0/|
|000033a0| 6f 00 28 00 14 2f 6f 00 | 2c 00 18 3f 6f 00 30 00 |o.(../o.|,..?o.0.|
|000033b0| 1c 48 6f 00 1e 48 6f 00 | 18 3f 3c 00 06 a9 eb 20 |.Ho..Ho.|.?<.... |
|000033c0| 4a 70 0a d5 c0 20 af 00 | 14 21 6f 00 18 00 04 31 |Jp... ..|.!o....1|
|000033d0| 6f 00 1c 00 08 30 03 53 | 43 4a 40 66 00 ff 50 20 |o....0.S|CJ@f..P |
|000033e0| 4b 70 14 d7 c0 43 ef 00 | 32 70 04 22 d8 51 c8 ff |Kp...C..|2p.".Q..|
|000033f0| fc 2f 6f 00 32 00 14 2f | 6f 00 36 00 18 3f 6f 00 |./o.2../|o.6..?o.|
|00003400| 3a 00 1c 48 6f 00 32 48 | 6f 00 18 3f 3c 00 04 a9 |:..Ho.2H|o..?<...|
|00003410| eb 2f 6f 00 14 00 28 2f | 6f 00 18 00 2c 3f 6f 00 |./o...(/|o...,?o.|
|00003420| 1c 00 30 2f 7c 3f fe 80 | 00 00 14 42 af 00 18 42 |..0/|?..|...B...B|
|00003430| 6f 00 1c 48 6f 00 28 48 | 6f 00 18 3f 3c 00 04 a9 |o..Ho.(H|o..?<...|
|00003440| eb 48 6f 00 1e 48 6f 00 | 18 3f 3c 00 06 a9 eb 20 |.Ho..Ho.|.?<.... |
|00003450| 4a 70 0a d5 c0 20 af 00 | 14 21 6f 00 18 00 04 31 |Jp... ..|.!o....1|
|00003460| 6f 00 1c 00 08 4f ef 00 | 46 4c df 0c 08 4e 75 48 |o....O..|FL...NuH|
|00003470| e7 00 32 4f ef ff d8 24 | 6f 00 38 2c 6f 00 3c 26 |..2O...$|o.8,o.<&|
|00003480| 6f 00 40 2e aa 00 0a 2f | 6a 00 0e 00 04 3f 6a 00 |o.@..../|j....?j.|
|00003490| 12 00 08 48 6b 00 0a 48 | 6f 00 04 3f 3c 00 04 a9 |...Hk..H|o..?<...|
|000034a0| eb 2f 52 00 0a 2f 6a 00 | 04 00 0e 3f 6a 00 08 00 |./R../j.|...?j...|
|000034b0| 12 48 53 48 6f 00 0e 3f | 3c 00 04 a9 eb 48 57 48 |.HSHo..?|<....HWH|
|000034c0| 6f 00 0e 3f 3c 00 02 a9 | eb 2f 6f 00 0a 00 14 2f |o..?<...|./o..../|
|000034d0| 6f 00 0e 00 18 3f 6f 00 | 12 00 1c 2f 52 00 0a 2f |o....?o.|.../R../|
|000034e0| 6a 00 04 00 0e 3f 6a 00 | 08 00 12 48 6b 00 0a 48 |j....?j.|...Hk..H|
|000034f0| 6f 00 0e 3f 3c 00 04 a9 | eb 2e aa 00 0a 2f 6a 00 |o..?<...|...../j.|
|00003500| 0e 00 04 3f 6a 00 12 00 | 08 48 53 48 6f 00 04 3f |...?j...|.HSHo..?|
|00003510| 3c 00 04 a9 eb 48 6f 00 | 0a 48 6f 00 04 3f 3c 00 |<....Ho.|.Ho..?<.|
|00003520| 00 a9 eb 2f 57 00 1e 2f | 6f 00 04 00 22 3f 6f 00 |.../W../|o..."?o.|
|00003530| 08 00 26 2f 56 00 0a 2f | 6e 00 04 00 0e 3f 6e 00 |..&/V../|n....?n.|
|00003540| 08 00 12 48 6f 00 14 48 | 6f 00 0e 3f 3c 00 02 a9 |...Ho..H|o..?<...|
|00003550| eb 24 af 00 0a 25 6f 00 | 0e 00 04 35 6f 00 12 00 |.$...%o.|...5o...|
|00003560| 08 2f 6e 00 0a 00 0a 2f | 6e 00 0e 00 0e 3f 6e 00 |./n..../|n....?n.|
|00003570| 12 00 12 48 6f 00 1e 48 | 6f 00 0e 3f 3c 00 02 a9 |...Ho..H|o..?<...|
|00003580| eb 25 6f 00 0a 00 0a 25 | 6f 00 0e 00 0e 35 6f 00 |.%o....%|o....5o.|
|00003590| 12 00 12 48 6f 00 14 48 | 56 3f 3c 00 00 a9 eb 48 |...Ho..H|V?<....H|
|000035a0| 6f 00 1e 48 6e 00 0a 3f | 3c 00 00 a9 eb 4f ef 00 |o..Hn..?|<....O..|
|000035b0| 28 4c df 4c 00 4e 75 4f | ef ff f6 2e af 00 12 2f |(L.L.NuO|......./|
|000035c0| 6f 00 16 00 04 3f 6f 00 | 1a 00 08 48 57 3f 3c 00 |o....?o.|...HW?<.|
|000035d0| 1a a9 ec 20 6f 00 0e 20 | 97 21 6f 00 04 00 04 31 |... o.. |.!o....1|
|000035e0| 6f 00 08 00 08 4f ef 00 | 0a 4e 75 4f ef ff f6 2e |o....O..|.NuO....|
|000035f0| af 00 12 2f 6f 00 16 00 | 04 3f 6f 00 1a 00 08 48 |.../o...|.?o....H|
|00003600| 57 3f 3c 00 18 a9 ec 20 | 6f 00 0e 20 97 21 6f 00 |W?<.... |o.. .!o.|
|00003610| 04 00 04 31 6f 00 08 00 | 08 4f ef 00 0a 4e 75 70 |...1o...|.O...Nup|
|00003620| 77 72 73 70 65 63 00 52 | 00 72 66 66 74 00 69 6e |wrspec.R|.rfft.in|
|00003630| 76 66 66 74 00 43 00 66 | 66 74 00 20 70 77 72 73 |vfft.C.f|ft. pwrs|
|00003640| 70 65 63 28 29 20 6e 6f | 74 20 65 6e 6f 75 67 68 |pec() no|t enough|
|00003650| 20 6d 65 6d 00 20 70 77 | 72 73 70 65 63 28 3f 29 | mem. pw|rspec(?)|
|00003660| 20 73 69 7a 65 20 6d 75 | 73 74 20 62 65 20 70 6f | size mu|st be po|
|00003670| 77 65 72 20 6f 66 20 32 | 00 20 70 77 72 73 70 65 |wer of 2|. pwrspe|
|00003680| 63 28 3f 29 20 65 78 70 | 65 63 74 73 20 72 65 61 |c(?) exp|ects rea|
|00003690| 6c 20 61 72 72 61 79 00 | 20 72 66 66 74 28 29 20 |l array.| rfft() |
|000036a0| 6e 6f 74 20 65 6e 6f 75 | 67 68 20 6d 65 6d 00 20 |not enou|gh mem. |
|000036b0| 72 66 66 74 28 3f 29 20 | 73 69 7a 65 20 6d 75 73 |rfft(?) |size mus|
|000036c0| 74 20 62 65 20 70 6f 77 | 65 72 20 6f 66 20 32 00 |t be pow|er of 2.|
|000036d0| 00 20 72 66 66 74 28 3f | 29 20 65 78 70 65 63 74 |. rfft(?|) expect|
|000036e0| 73 20 72 65 61 6c 20 61 | 72 72 61 79 00 74 72 61 |s real a|rray.tra|
|000036f0| 6e 73 66 6f 72 6d 00 20 | 66 66 74 28 29 20 6e 6f |nsform. |fft() no|
|00003700| 74 20 65 6e 6f 75 67 68 | 20 6d 65 6d 00 20 66 66 |t enough| mem. ff|
|00003710| 74 28 3f 29 20 73 69 7a | 65 20 6d 75 73 74 20 62 |t(?) siz|e must b|
|00003720| 65 20 70 6f 77 65 72 20 | 6f 66 20 32 00 20 66 66 |e power |of 2. ff|
|00003730| 74 28 3f 29 20 65 78 70 | 65 63 74 73 20 63 6f 6d |t(?) exp|ects com|
|00003740| 70 6c 65 78 20 61 72 72 | 61 79 00 00 00 00 00 00 |plex arr|ay......|
|00003750| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003760| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 54 00 |........|......T.|
|00003770| 00 00 00 00 00 00 00 00 | 00 00 01 00 00 00 00 00 |........|........|
|00003780| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 01 70 |........|.......p|
|00003790| 77 70 63 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |wpc.....|........|
|000037a0| 00 00 00 00 00 00 01 00 | 00 00 00 00 00 00 00 00 |........|........|
|000037b0| 00 00 00 00 00 00 00 00 | 34 06 6c 69 6e 66 69 74 |........|4.linfit|
|000037c0| 00 00 00 00 00 01 00 00 | 00 20 c3 00 00 1f c3 00 |........|. ......|
|000037d0| 00 00 9e 01 28 d8 5c 11 | a2 00 00 00 1c 00 7e 00 |....(.\.|......~.|
|000037e0| 02 54 45 58 54 00 03 00 | 1a 58 46 75 6e 00 00 00 |.TEXT...|.XFun...|
|000037f0| 4a 63 66 72 67 00 00 00 | 56 00 80 00 00 00 00 00 |Jcfrg...|V.......|
|00003800| 00 00 00 00 00 00 81 00 | 06 00 00 03 1b 00 00 00 |........|........|
|00003810| 00 00 82 00 0f 00 00 05 | 70 00 00 00 00 00 83 00 |........|p.......|
|00003820| 16 00 00 07 89 00 00 00 | 00 00 00 ff ff 00 00 09 |........|........|
|00003830| e9 00 00 00 00 00 00 ff | ff 00 00 1f 6b 01 28 e1 |........|....k.(.|
|00003840| 18 05 66 66 74 28 29 08 | 69 6e 76 66 66 74 28 29 |..fft().|invfft()|
|00003850| 06 72 66 66 74 28 29 09 | 70 77 72 73 70 65 63 28 |.rfft().|pwrspec(|
|00003860| 29 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |).......|........|
|00003870| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
+--------+-------------------------+-------------------------+--------+--------+