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+--------+-------------------------+-------------------------+--------+--------+
|00000000| 00 05 16 07 00 02 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000010| 00 00 00 00 00 00 00 00 | 00 02 00 00 00 09 00 00 |........|........|
|00000020| 00 32 00 00 00 20 00 00 | 00 02 00 00 00 52 00 00 |.2... ..|.....R..|
|00000030| 21 61 43 46 75 6e 4d 50 | 61 64 01 00 00 00 00 00 |!aCFunMP|ad......|
|00000040| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000050| 00 00 00 00 01 00 00 00 | 20 c3 00 00 1f c3 00 00 |........| .......|
|00000060| 00 9e 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000070| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000080| 00 00 03 66 66 74 02 00 | 00 00 43 46 75 6e 4d 50 |...fft..|..CFunMP|
|00000090| 61 64 01 00 00 00 00 00 | 00 00 00 00 10 e5 00 00 |ad......|........|
|000000a0| 00 00 00 00 43 46 75 6e | 4d 50 61 64 01 00 00 00 |....CFun|MPad....|
|000000b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000c0| 00 00 00 00 ad 63 49 a2 | 00 00 16 37 00 00 21 61 |.....cI.|...7..!a|
|000000d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000100| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000110| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000120| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000130| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000140| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000150| 00 00 00 00 03 17 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |......--|--------|
|00000160| 2d 2d 20 66 66 74 28 43 | 29 0d 7e 0d 72 65 74 75 |-- fft(C|).~.retu|
|00000170| 72 6e 73 20 74 68 65 20 | 64 69 73 63 72 65 74 65 |rns the |discrete|
|00000180| 20 46 6f 75 72 69 65 72 | 20 74 72 61 6e 73 66 6f | Fourier| transfo|
|00000190| 72 6d 20 6f 66 20 61 72 | 72 61 79 20 43 20 69 6e |rm of ar|ray C in|
|000001a0| 20 74 68 65 20 67 6c 6f | 62 61 6c 20 61 72 72 61 | the glo|bal arra|
|000001b0| 79 20 22 74 72 61 6e 73 | 66 6f 72 6d 22 2e 0d 0d |y "trans|form"...|
|000001c0| 43 20 69 73 20 61 6e 20 | 61 72 72 61 79 20 6f 66 |C is an |array of|
|000001d0| 20 6e 20 73 61 6d 70 6c | 65 73 20 28 6e 20 6d 75 | n sampl|es (n mu|
|000001e0| 73 74 20 62 65 20 61 20 | 70 6f 77 65 72 20 6f 66 |st be a |power of|
|000001f0| 20 32 29 20 6f 66 20 61 | 20 63 6f 6d 70 6c 65 78 | 2) of a| complex|
|00000200| 20 66 75 6e 63 74 69 6f | 6e 20 79 28 74 29 2e 20 | functio|n y(t). |
|00000210| 46 6f 72 20 73 61 6d 70 | 6c 65 20 70 65 72 69 6f |For samp|le perio|
|00000220| 64 20 64 74 2c 20 22 74 | 72 61 6e 73 66 6f 72 6d |d dt, "t|ransform|
|00000230| 22 20 77 69 6c 6c 20 63 | 6f 6e 74 61 69 6e 20 74 |" will c|ontain t|
|00000240| 68 65 20 70 6f 73 69 74 | 69 76 65 20 61 6e 64 20 |he posit|ive and |
|00000250| 6e 65 67 61 74 69 76 65 | 20 63 6f 6d 70 6c 65 78 |negative| complex|
|00000260| 20 66 72 65 71 75 65 6e | 63 79 20 63 6f 6d 70 6f | frequen|cy compo|
|00000270| 6e 65 6e 74 73 20 61 72 | 72 61 6e 67 65 64 20 61 |nents ar|ranged a|
|00000280| 73 0d 0d 74 72 61 6e 73 | 66 6f 72 6d 5b 31 5d 20 |s..trans|form[1] |
|00000290| 20 20 20 20 66 3d 30 20 | 20 20 20 20 20 5b 31 2c |    f=0 |     [1,|
|000002a0| 31 5d 20 72 65 61 6c 2e | 20 5b 31 2c 32 5d 20 69 |1] real.| [1,2] i|
|000002b0| 6d 61 67 69 6e 61 72 79 | 2e 0d 74 72 61 6e 73 66 |maginary|..transf|
|000002c0| 6f 72 6d 5b 32 5d 20 20 | 20 20 20 66 3d 31 2f 28 |orm[2]  |   f=1/(|
|000002d0| 6e 2a 64 74 29 0d 2e 2e | 2e 0d 74 72 61 6e 73 66 |n*dt)...|..transf|
|000002e0| 6f 72 6d 5b 6e 2f 32 2b | 31 5d 20 66 3d 31 2f 28 |orm[n/2+|1] f=1/(|
|000002f0| 32 2a 64 74 29 20 61 6c | 73 6f 20 66 3d 2d 31 2f |2*dt) al|so f=-1/|
|00000300| 28 32 2a 64 74 29 0d 74 | 72 61 6e 73 66 6f 72 6d |(2*dt).t|ransform|
|00000310| 5b 6e 2f 32 2b 32 5d 20 | 66 3d 2d 28 6e 2f 32 2d |[n/2+2] |f=-(n/2-|
|00000320| 31 29 2f 28 6e 2a 64 74 | 29 0d 2e 2e 2e 0d 74 72 |1)/(n*dt|).....tr|
|00000330| 61 6e 73 66 6f 72 6d 5b | 6e 5d 20 20 20 20 20 66 |ansform[|n]     f|
|00000340| 3d 2d 31 2f 28 6e 2a 64 | 74 29 0d 7e 0d 0d 79 28 |=-1/(n*d|t).~..y(|
|00000350| 74 29 20 3d 20 63 6f 73 | 28 33 36 30 2a 66 2a 74 |t) = cos|(360*f*t|
|00000360| 2b 70 68 69 29 20 20 20 | 20 20 2d 2d 20 65 78 61 |+phi)   |  -- exa|
|00000370| 6d 70 6c 65 20 66 75 6e | 63 74 69 6f 6e 20 2a 2a |mple fun|ction **|
|00000380| 20 75 73 65 73 20 64 65 | 67 72 65 65 73 20 2a 2a | uses de|grees **|
|00000390| 0d 63 28 74 29 20 3d 20 | 7b 79 28 74 29 2c 30 7d |.c(t) = |{y(t),0}|
|000003a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 2d 2d 20 |        |     -- |
|000003b0| 6d 61 6b 65 20 69 74 20 | 61 20 63 6f 6d 70 6c 65 |make it |a comple|
|000003c0| 78 20 66 75 6e 63 74 69 | 6f 6e 0d 43 5b 69 5d 20 |x functi|on.C[i] |
|000003d0| 3d 20 63 28 64 74 2a 28 | 69 2d 31 29 29 20 64 69 |= c(dt*(|i-1)) di|
|000003e0| 6d 5b 6e 5d 20 20 20 2d | 2d 20 73 61 6d 70 6c 65 |m[n]   -|- sample|
|000003f0| 20 69 74 20 61 74 20 70 | 65 72 69 6f 64 20 64 74 | it at p|eriod dt|
|00000400| 0d 0d 6e 3d 38 3b 20 20 | 20 20 20 66 3d 33 3b 20 |..n=8;  |   f=3; |
|00000410| 20 20 20 20 70 68 69 3d | 33 30 3b 20 20 20 20 20 |    phi=|30;     |
|00000420| 20 64 74 3d 31 2f 6e 0d | 0d 66 66 74 28 43 29 3a | dt=1/n.|.fft(C):|
|00000430| 0d 4e 6d 61 78 3d 6e 3b | 20 4e 73 74 65 70 73 3d |.Nmax=n;| Nsteps=|
|00000440| 6e 0d 74 61 62 6c 65 20 | 20 4e 2c 20 20 20 74 72 |n.table | N,   tr|
|00000450| 61 6e 73 66 6f 72 6d 5b | 4e 2c 31 5d 2c 20 74 72 |ansform[|N,1], tr|
|00000460| 61 6e 73 66 6f 72 6d 5b | 4e 2c 32 5d 0d 00 00 02 |ansform[|N,2]....|
|00000470| 51 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |Q-------|--------|
|00000480| 2d 20 69 6e 76 66 66 74 | 28 43 29 0d 2d 2d 20 70 |- invfft|(C).-- p|
|00000490| 65 72 66 6f 72 6d 73 20 | 61 6e 20 69 6e 76 65 72 |erforms |an inver|
|000004a0| 73 65 20 46 6f 75 72 69 | 65 72 20 74 72 61 6e 73 |se Fouri|er trans|
|000004b0| 66 6f 72 6d 2e 20 49 74 | 20 72 65 74 75 72 6e 73 |form. It| returns|
|000004c0| 20 74 68 65 20 74 69 6d | 65 20 73 61 6d 70 6c 65 | the tim|e sample|
|000004d0| 64 20 63 6f 6d 70 6c 65 | 78 20 66 75 6e 63 74 69 |d comple|x functi|
|000004e0| 6f 6e 20 69 6e 20 74 68 | 65 20 67 6c 6f 62 61 6c |on in th|e global|
|000004f0| 20 61 72 72 61 79 20 22 | 74 72 61 6e 73 66 6f 72 | array "|transfor|
|00000500| 6d 22 2e 0d 0d 63 28 74 | 29 20 3d 20 7b 74 2a 66 |m"...c(t|) = {t*f|
|00000510| 2d 74 72 75 6e 63 28 74 | 2a 66 29 2d 2e 35 2c 30 |-trunc(t|*f)-.5,0|
|00000520| 7d 20 20 2d 2d 20 65 78 | 61 6d 70 6c 65 20 63 6f |}  -- ex|ample co|
|00000530| 6d 70 6c 65 78 20 66 75 | 6e 63 74 69 6f 6e 20 0d |mplex fu|nction .|
|00000540| 43 5b 69 5d 20 3d 20 63 | 28 64 74 2a 28 69 2d 31 |C[i] = c|(dt*(i-1|
|00000550| 29 29 20 64 69 6d 5b 6e | 5d 20 20 20 20 20 2d 2d |)) dim[n|]     --|
|00000560| 20 73 61 6d 70 6c 65 20 | 74 68 65 20 66 75 6e 63 | sample |the func|
|00000570| 74 69 6f 6e 0d 6e 3d 36 | 34 3b 20 20 20 20 20 66 |tion.n=6|4;     f|
|00000580| 3d 34 3b 20 20 20 20 20 | 20 64 74 3d 31 2f 6e 0d |=4;     | dt=1/n.|
|00000590| 0d 58 6d 69 6e 3d 30 3b | 20 58 6d 61 78 3d 64 74 |.Xmin=0;| Xmax=dt|
|000005a0| 2a 28 6e 2d 31 29 3b 20 | 58 73 74 65 70 73 3d 33 |*(n-1); |Xsteps=3|
|000005b0| 30 30 3b 20 58 6c 61 62 | 65 6c 3d 22 73 65 63 73 |00; Xlab|el="secs|
|000005c0| 22 0d 70 6c 6f 74 20 63 | 28 58 29 5b 31 5d 0d 70 |".plot c|(X)[1].p|
|000005d0| 6c 6f 74 20 72 65 61 6c | 70 61 72 74 28 43 29 0d |lot real|part(C).|
|000005e0| 0d 66 66 74 28 43 29 3a | 3b 20 20 20 20 20 20 20 |.fft(C):|;       |
|000005f0| 20 20 20 20 20 20 2d 2d | 20 74 72 61 6e 73 66 6f |      --| transfo|
|00000600| 72 6d 20 69 74 0d 0d 6e | 65 77 61 78 69 73 0d 2d |rm it..n|ewaxis.-|
|00000610| 2d 20 69 6e 76 65 72 73 | 65 20 74 72 61 6e 73 66 |- invers|e transf|
|00000620| 6f 72 6d 20 73 68 6f 75 | 6c 64 20 6d 61 74 63 68 |orm shou|ld match|
|00000630| 20 6f 72 69 67 69 6e 61 | 6c 20 74 69 6d 65 20 73 | origina|l time s|
|00000640| 61 6d 70 6c 65 73 0d 69 | 6e 76 66 66 74 28 74 72 |amples.i|nvfft(tr|
|00000650| 61 6e 73 66 6f 72 6d 29 | 3a 0d 70 6c 6f 74 20 72 |ansform)|:.plot r|
|00000660| 65 61 6c 70 61 72 74 28 | 74 72 61 6e 73 66 6f 72 |ealpart(|transfor|
|00000670| 6d 29 0d 0d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |m)..----|--------|
|00000680| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00000690| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 0d 72 65 61 6c |--------|---.real|
|000006a0| 70 61 72 74 28 7a 29 5b | 69 5d 20 3d 20 7a 5b 69 |part(z)[|i] = z[i|
|000006b0| 2c 31 5d 20 64 69 6d 5b | 63 6f 75 6e 74 28 7a 29 |,1] dim[|count(z)|
|000006c0| 5d 0d 00 00 02 15 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |].....--|--------|
|000006d0| 2d 2d 2d 2d 2d 2d 20 72 | 66 66 74 28 52 29 0d 2d |------ r|fft(R).-|
|000006e0| 2d 20 74 61 6b 65 73 20 | 61 20 72 65 61 6c 20 61 |- takes |a real a|
|000006f0| 72 72 61 79 20 52 20 61 | 73 20 69 6e 70 75 74 20 |rray R a|s input |
|00000700| 61 6e 64 20 72 65 74 75 | 72 6e 73 20 6f 6e 6c 79 |and retu|rns only|
|00000710| 20 74 68 65 20 70 6f 73 | 69 74 69 76 65 20 66 72 | the pos|itive fr|
|00000720| 65 71 75 65 6e 63 79 20 | 63 6f 6d 70 6f 6e 65 6e |equency |componen|
|00000730| 74 73 20 6f 66 20 74 68 | 65 20 64 69 73 63 72 65 |ts of th|e discre|
|00000740| 74 65 20 46 6f 75 72 69 | 65 72 20 74 72 61 6e 73 |te Fouri|er trans|
|00000750| 66 6f 72 6d 20 69 6e 20 | 74 68 65 20 67 6c 6f 62 |form in |the glob|
|00000760| 61 6c 20 61 72 72 61 79 | 20 22 74 72 61 6e 73 66 |al array| "transf|
|00000770| 6f 72 6d 22 2e 20 57 68 | 65 6e 20 74 68 65 20 69 |orm". Wh|en the i|
|00000780| 6e 70 75 74 20 69 73 20 | 72 65 61 6c 2c 20 75 73 |nput is |real, us|
|00000790| 69 6e 67 20 74 68 69 73 | 20 72 6f 75 74 69 6e 65 |ing this| routine|
|000007a0| 20 69 73 20 6d 6f 72 65 | 20 65 66 66 69 63 69 65 | is more| efficie|
|000007b0| 6e 74 20 74 68 61 6e 20 | 73 65 74 74 69 6e 67 20 |nt than |setting |
|000007c0| 74 68 65 20 69 6d 61 67 | 69 6e 61 72 79 20 70 61 |the imag|inary pa|
|000007d0| 72 74 20 74 6f 20 30 20 | 61 6e 64 20 75 73 69 6e |rt to 0 |and usin|
|000007e0| 67 20 66 66 74 28 29 2e | 0d 0d 79 28 74 29 20 3d |g fft().|..y(t) =|
|000007f0| 20 63 6f 73 28 33 36 30 | 2a 66 2a 74 2b 70 68 69 | cos(360|*f*t+phi|
|00000800| 29 20 20 20 20 20 2d 2d | 20 65 78 61 6d 70 6c 65 |)     --| example|
|00000810| 20 66 75 6e 63 74 69 6f | 6e 20 2a 2a 20 75 73 65 | functio|n ** use|
|00000820| 73 20 64 65 67 72 65 65 | 73 20 2a 2a 0d 52 5b 69 |s degree|s **.R[i|
|00000830| 5d 20 3d 20 79 28 64 74 | 2a 28 69 2d 31 29 29 20 |] = y(dt|*(i-1)) |
|00000840| 64 69 6d 5b 6e 5d 20 20 | 20 2d 2d 20 73 61 6d 70 |dim[n]  | -- samp|
|00000850| 6c 65 20 69 74 20 61 74 | 20 70 65 72 69 6f 64 20 |le it at| period |
|00000860| 64 74 0d 6e 3d 38 3b 20 | 20 20 20 20 66 3d 33 3b |dt.n=8; |    f=3;|
|00000870| 20 20 20 20 20 70 68 69 | 3d 33 30 3b 20 20 20 20 |     phi|=30;    |
|00000880| 20 20 64 74 3d 31 2f 6e | 0d 0d 4e 6d 61 78 3a 3d |  dt=1/n|..Nmax:=|
|00000890| 6e 2f 32 2b 31 3a 3b 20 | 20 4e 73 74 65 70 73 3a |n/2+1:; | Nsteps:|
|000008a0| 3d 4e 6d 61 78 3a 0d 72 | 66 66 74 28 52 29 3a 0d |=Nmax:.r|fft(R):.|
|000008b0| 74 61 62 6c 65 20 20 4e | 2c 20 20 20 74 72 61 6e |table  N|,   tran|
|000008c0| 73 66 6f 72 6d 5b 4e 2c | 31 5d 2c 20 74 72 61 6e |sform[N,|1], tran|
|000008d0| 73 66 6f 72 6d 5b 4e 2c | 32 5d 0d 00 00 02 5c 2d |sform[N,|2]....\-|
|000008e0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 20 70 |--------|------ p|
|000008f0| 77 72 73 70 65 63 28 52 | 29 0d 2d 2d 20 72 65 74 |wrspec(R|).-- ret|
|00000900| 75 72 6e 73 20 61 20 70 | 6f 77 65 72 20 73 70 65 |urns a p|ower spe|
|00000910| 63 74 72 75 6d 20 65 73 | 74 69 6d 61 74 65 20 6f |ctrum es|timate o|
|00000920| 66 20 74 68 65 20 72 65 | 61 6c 20 61 72 72 61 79 |f the re|al array|
|00000930| 20 52 20 69 6e 20 74 68 | 65 20 67 6c 6f 62 61 6c | R in th|e global|
|00000940| 20 61 72 72 61 79 20 22 | 74 72 61 6e 73 66 6f 72 | array "|transfor|
|00000950| 6d 22 2e 20 54 68 69 73 | 20 72 6f 75 74 69 6e 65 |m". This| routine|
|00000960| 20 6d 75 6c 74 69 70 6c | 69 65 73 20 52 20 62 79 | multipl|ies R by|
|00000970| 20 61 20 63 6f 73 69 6e | 65 20 77 69 6e 64 6f 77 | a cosin|e window|
|00000980| 20 74 6f 20 72 65 64 75 | 63 65 20 66 72 65 71 75 | to redu|ce frequ|
|00000990| 65 6e 63 79 20 73 70 72 | 65 61 64 2e 20 54 68 65 |ency spr|ead. The|
|000009a0| 20 6f 75 74 70 75 74 20 | 69 73 20 73 63 61 6c 65 | output |is scale|
|000009b0| 64 20 73 6f 20 74 68 61 | 74 20 74 68 65 20 73 75 |d so tha|t the su|
|000009c0| 6d 20 6f 76 65 72 20 61 | 6c 6c 20 66 72 65 71 75 |m over a|ll frequ|
|000009d0| 65 6e 63 69 65 73 20 69 | 73 20 61 6e 20 65 73 74 |encies i|s an est|
|000009e0| 69 6d 61 74 65 20 6f 66 | 20 74 68 65 20 6d 65 61 |imate of| the mea|
|000009f0| 6e 20 73 71 75 61 72 65 | 64 20 61 6d 70 6c 69 74 |n square|d amplit|
|00000a00| 75 64 65 20 6f 66 20 74 | 68 65 20 69 6e 70 75 74 |ude of t|he input|
|00000a10| 2e 0d 0d 72 28 74 29 20 | 3d 20 74 2a 66 2d 74 72 |...r(t) |= t*f-tr|
|00000a20| 75 6e 63 28 74 2a 66 29 | 2d 2e 35 20 20 2d 2d 20 |unc(t*f)|-.5  -- |
|00000a30| 65 78 61 6d 70 6c 65 20 | 66 75 6e 63 74 69 6f 6e |example |function|
|00000a40| 20 28 73 61 77 74 6f 6f | 74 68 20 77 61 76 65 29 | (sawtoo|th wave)|
|00000a50| 0d 0d 52 5b 69 5d 20 3d | 20 72 28 64 74 2a 28 69 |..R[i] =| r(dt*(i|
|00000a60| 2d 31 29 29 20 64 69 6d | 5b 6e 5d 20 2d 2d 20 73 |-1)) dim|[n] -- s|
|00000a70| 61 6d 70 6c 65 20 74 68 | 65 20 66 75 6e 63 74 69 |ample th|e functi|
|00000a80| 6f 6e 0d 6e 3d 31 32 38 | 3b 20 20 20 20 20 66 3d |on.n=128|;     f=|
|00000a90| 38 3b 20 20 20 20 20 20 | 64 74 3d 31 2f 6e 0d 0d |8;      |dt=1/n..|
|00000aa0| 58 6d 69 6e 3d 30 3b 20 | 58 6d 61 78 3d 64 74 2a |Xmin=0; |Xmax=dt*|
|00000ab0| 28 6e 2d 31 29 3b 20 58 | 73 74 65 70 73 3d 33 30 |(n-1); X|steps=30|
|00000ac0| 30 3b 20 58 6c 61 62 65 | 6c 3d 22 73 65 63 73 22 |0; Xlabe|l="secs"|
|00000ad0| 0d 70 6c 6f 74 20 72 28 | 58 29 0d 70 6c 6f 74 20 |.plot r(|X).plot |
|00000ae0| 52 0d 0d 6e 65 77 61 78 | 69 73 0d 58 6d 69 6e 3a |R..newax|is.Xmin:|
|00000af0| 3d 30 3a 3b 20 58 6d 61 | 78 3a 3d 31 2f 28 32 2a |=0:; Xma|x:=1/(2*|
|00000b00| 64 74 29 3a 3b 20 58 64 | 69 76 3d 38 3b 20 58 6c |dt):; Xd|iv=8; Xl|
|00000b10| 61 62 65 6c 3a 3d 22 48 | 7a 22 3a 0d 70 77 72 73 |abel:="H|z":.pwrs|
|00000b20| 70 65 63 28 52 29 3a 0d | 70 6c 6f 74 6c 69 6e 65 |pec(R):.|plotline|
|00000b30| 20 74 72 61 6e 73 66 6f | 72 6d 0d 00 00 15 7e 60 | transfo|rm....~`|
|00000b40| 0a 00 00 58 46 75 6e 00 | 00 00 00 4e fa 04 96 41 |...XFun.|...N...A|
|00000b50| fa ff ee d1 fc 00 00 94 | 32 20 08 a0 55 c1 8c 4e |........|2 ..U..N|
|00000b60| 75 4e 75 2f 2f 00 10 2f | 2f 00 10 2f 2f 00 10 2f |uNu//../|/..//../|
|00000b70| 2f 00 10 42 a7 20 6c 81 | 48 4e 90 4f ef 00 14 4e |/..B. l.|HN.O...N|
|00000b80| 75 2f 2f 00 08 2f 2f 00 | 08 48 78 00 01 20 6c 81 |u//..//.|.Hx.. l.|
|00000b90| 48 4e 90 4f ef 00 0c 4e | 75 2f 2f 00 04 48 78 00 |HN.O...N|u//..Hx.|
|00000ba0| 02 20 6c 81 48 4e 90 50 | 4f 4e 75 2f 2f 00 10 2f |. l.HN.P|ONu//../|
|00000bb0| 2f 00 10 2f 2f 00 10 2f | 2f 00 10 48 78 00 0c 20 |/..//../|/..Hx.. |
|00000bc0| 6c 81 48 4e 90 4f ef 00 | 14 4e 75 2f 2f 00 08 2f |l.HN.O..|.Nu//../|
|00000bd0| 2f 00 08 48 78 00 05 20 | 6c 81 48 4e 90 4f ef 00 |/..Hx.. |l.HN.O..|
|00000be0| 0c 4e 75 2f 2f 00 10 2f | 2f 00 10 2f 2f 00 10 2f |.Nu//../|/..//../|
|00000bf0| 2f 00 10 48 78 00 0e 20 | 6c 81 48 4e 90 4f ef 00 |/..Hx.. |l.HN.O..|
|00000c00| 14 4e 75 48 78 00 0f 20 | 6c 81 48 4e 90 58 4f 4e |.NuHx.. |l.HN.XON|
|00000c10| 75 20 0c 49 fa 00 06 28 | 54 4e 75 00 00 00 00 41 |u .I...(|TNu....A|
|00000c20| fa ff fa 20 8c 4e 75 48 | e7 10 30 4f ef ff f0 95 |... .NuH|..0O....|
|00000c30| ca 42 af 00 0c 48 6f 00 | 04 42 a7 4e ba ff 8e 48 |.B...Ho.|.B.N...H|
|00000c40| 6f 00 08 48 6f 00 14 48 | 6f 00 1c 2f 2f 00 18 4e |o..Ho..H|o..//..N|
|00000c50| ba ff 5a 36 00 2f 2f 00 | 1c 4e ba ff 3e 70 02 b0 |..Z6.//.|.N..>p..|
|00000c60| af 00 1c 4f ef 00 1c 66 | 08 70 04 b0 af 00 08 6f |...O...f|.p.....o|
|00000c70| 0c 42 a7 48 6c 81 0e 4e | ba ff 08 50 4f 4a 43 67 |.B.Hl..N|...POJCg|
|00000c80| 00 00 90 4e ba ff 7e 4a | 40 66 00 00 86 3f 2f 00 |...N..~J|@f...?/.|
|00000c90| 20 3f 2f 00 0c 4e ba 06 | d6 36 00 30 6c 81 2c b1 | ?/..N..|.6.0l.,.|
|00000ca0| ef 00 0c 58 4f 67 0e 42 | a7 48 6c 80 ee 4e ba fe |...XOg.B|.Hl..N..|
|00000cb0| d2 76 00 50 4f 4a 43 67 | 0a 70 14 c0 ec 81 2c a1 |.v.POJCg|.p....,.|
|00000cc0| 1e 24 48 4a 43 67 04 20 | 0a 66 0e 42 a7 48 6c 80 |.$HJCg. |.f.B.Hl.|
|00000cd0| d8 4e ba fe ae 50 4f 60 | 38 26 4a 47 eb ff ec 2f |.N...PO`|8&JG.../|
|00000ce0| 2f 00 0c 2f 0b 4e ba 07 | a0 20 6f 00 14 a0 1f 42 |/../.N..|. o....B|
|00000cf0| af 00 14 2f 0b 4e ba 08 | 50 48 78 00 02 30 6c 81 |.../.N..|PHx..0l.|
|00000d00| 2c 2f 08 2f 0a 48 6c 80 | ce 4e ba fe d8 4f ef 00 |,/./.Hl.|.N...O..|
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|00001c70| 6f 00 1c 00 08 36 2c 81 | 2c 53 43 60 00 00 aa 20 |o....6,.|,SC`... |
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|00001cc0| 3a 00 12 48 6f 00 32 48 | 6f 00 0e 3f 3c 00 04 a9 |:..Ho.2H|o..?<...|
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|00001cf0| 30 2f 6f 00 28 00 14 2f | 6f 00 2c 00 18 3f 6f 00 |0/o.(../|o.,..?o.|
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|00001d20| 04 31 6f 00 1c 00 08 30 | 03 53 43 4a 40 66 00 ff |.1o....0|.SCJ@f..|
|00001d30| 50 20 4b 70 14 d7 c0 43 | ef 00 32 70 04 22 d8 51 |P Kp...C|..2p.".Q|
|00001d40| c8 ff fc 2f 6f 00 32 00 | 14 2f 6f 00 36 00 18 3f |.../o.2.|./o.6..?|
|00001d50| 6f 00 3a 00 1c 48 6f 00 | 32 48 6f 00 18 3f 3c 00 |o.:..Ho.|2Ho..?<.|
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|00001d70| 6f 00 1c 00 30 2f 7c 3f | fe 80 00 00 14 42 af 00 |o...0/|?|.....B..|
|00001d80| 18 42 6f 00 1c 48 6f 00 | 28 48 6f 00 18 3f 3c 00 |.Bo..Ho.|(Ho..?<.|
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|00001da0| eb 20 4a 70 0a d5 c0 20 | af 00 14 21 6f 00 18 00 |. Jp... |...!o...|
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|00001dc0| 75 48 e7 00 32 4f ef ff | d8 24 6f 00 38 2c 6f 00 |uH..2O..|.$o.8,o.|
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|00001e40| 0a 48 6f 00 0e 3f 3c 00 | 04 a9 eb 2e aa 00 0a 2f |.Ho..?<.|......./|
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|00001e80| 6f 00 08 00 26 2f 56 00 | 0a 2f 6e 00 04 00 0e 3f |o...&/V.|./n....?|
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|00001ea0| 02 a9 eb 24 af 00 0a 25 | 6f 00 0e 00 04 35 6f 00 |...$...%|o....5o.|
|00001eb0| 12 00 08 2f 6e 00 0a 00 | 0a 2f 6e 00 0e 00 0e 3f |.../n...|./n....?|
|00001ec0| 6e 00 12 00 12 48 6f 00 | 1e 48 6f 00 0e 3f 3c 00 |n....Ho.|.Ho..?<.|
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|00002040| 72 61 6e 73 66 6f 72 6d | 00 20 66 66 74 28 29 20 |ransform|. fft() |
|00002050| 6e 6f 74 20 65 6e 6f 75 | 67 68 20 6d 65 6d 00 20 |not enou|gh mem. |
|00002060| 66 66 74 28 3f 29 20 73 | 69 7a 65 20 6d 75 73 74 |fft(?) s|ize must|
|00002070| 20 62 65 20 70 6f 77 65 | 72 20 6f 66 20 32 00 20 | be powe|r of 2. |
|00002080| 66 66 74 28 3f 29 20 65 | 78 70 65 63 74 73 20 63 |fft(?) e|xpects c|
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|000020a0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000020b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000020c0| 54 00 00 00 00 00 00 00 | 00 00 00 00 01 00 00 00 |T.......|........|
|000020d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000020e0| 01 70 77 70 63 00 00 00 | 00 00 00 00 00 00 00 00 |.pwpc...|........|
|000020f0| 00 00 00 00 00 00 00 00 | 01 00 00 00 00 00 00 00 |........|........|
|00002100| 00 00 00 00 00 00 00 00 | 00 00 34 06 6c 69 6e 66 |........|..4.linf|
|00002110| 69 74 00 00 00 00 00 01 | 00 00 00 20 c3 00 00 1f |it......|... ....|
|00002120| c3 00 00 00 9e 01 28 d8 | 5c 11 a2 00 00 00 1c 00 |......(.|\.......|
|00002130| 7e 00 02 54 45 58 54 00 | 03 00 1a 58 46 75 6e 00 |~..TEXT.|...XFun.|
|00002140| 00 00 4a 63 66 72 67 00 | 00 00 56 00 80 00 00 00 |..Jcfrg.|..V.....|
|00002150| 00 00 00 00 00 00 00 00 | 81 00 06 00 00 03 1b 00 |........|........|
|00002160| 00 00 00 00 82 00 0f 00 | 00 05 70 00 00 00 00 00 |........|..p.....|
|00002170| 83 00 16 00 00 07 89 00 | 00 00 00 00 00 ff ff 00 |........|........|
|00002180| 00 09 e9 00 00 00 00 00 | 00 ff ff 00 00 1f 6b 01 |........|......k.|
|00002190| 28 e1 18 05 66 66 74 28 | 29 08 69 6e 76 66 66 74 |(...fft(|).invfft|
|000021a0| 28 29 06 72 66 66 74 28 | 29 09 70 77 72 73 70 65 |().rfft(|).pwrspe|
|000021b0| 63 28 29                |                         |c()     |        |
+--------+-------------------------+-------------------------+--------+--------+