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- Path: sparky!uunet!elroy.jpl.nasa.gov!swrinde!network.ucsd.edu!lyapunov.ucsd.edu!mbk
- From: mbk@lyapunov.ucsd.edu (Matt Kennel)
- Newsgroups: rec.audio
- Subject: Re: Some bunk, was Re: polarity inversion
- Date: 3 Jan 1993 22:59:07 GMT
- Organization: Institute For Nonlinear Science, UCSD
- Lines: 83
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- References: <C0A3uL.E93@world.std.com>
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- DPierce@world.std.com (Richard D Pierce) writes:
- : I don't intend to necessarily challenge or support the notion of absolute
- : phase, but there are some misconceptions bordering on bunk here...
- :
- : In article <1993Jan3.064402.19553@guinness.idbsu.edu> Dave Jensen <djensen@claven.idbsu.edu> writes:
- :
- : > The audibility of absolute polarity (which, by the way, is not a function
- : > of time, as is phase) will be most noticeable with a high-transient,
- : > low-frequency signal (below 60 Hz). The impact of a prominent, well
- : > recorded kick drum will be weaker if the speaker polarity is opposite that
- : > of the assumed correct recording polarity where a positive pressure
- : > produced a positive voltage at the microphone.
- :
- : There is no such thing, by your description, as a "high-transient, low
- : frequency signal (below 60 Hz)." This is a common misconception. First,
- : the term "high transient" is pretty meaningless. If a signal exhibits
- : transient behaviour, showing abrupt and short term chnages, it contains,
- : by definition, a lot of high frequency information and relatively little
- : low frequency information. If it is predominately low frequency, it
- : cannot, by definition, have "transient" characteristics. If it has both,
- : it has broadband characteristics.
-
- Dick Pierce is naturally correct. This somewhat unsatisfying answer points
- out some of the disadvantages of classical Fourier analysis, in that
- spectral analysis does not easily distinguish transients with broadband
- frequency content from long-term broadband noise signals.
- {it also doesn't distinguish deterministic chaotic signals from broadband
- noise but that's totally irrelvant here}
-
- It may be that the
- physical realization of some systems may be described more faithfully
- with a mode of analysis that can exploit this difference. The mathematical
- foundations of this field is called wavelet analysis, but it remains to
- be seen how much success it has in solving physically relevant problems.
-
- Quoting from Numerical Recipes,
-
- "What makes the wavelet basis interesting is that, unlike sines and
- cosines, individual wavelet functions are quite localized in space;
- simultaneously, like sines and cosines, individual wavelet functions are
- quite localized in frequency or characteristic scale. As we
- will see below, the particular kind of dual localization achieved by
- wavelets renders large classes of functions and operators sparse, or sparse
- to some high accuracy, when transformed into the wavelet domain."
-
- : > A very simple test to satisfy your curiosity would be to listen to the
- : > difference in woofer sound quality as you apply a battery across the
- : > terminals of your speaker cabinet. I believe you'll find the compression
- : > wave produced by a positive voltage on the positive terminal (pushing the
- : > speaker outward) will yield the more satisfying thump.
- :
- : There are a wide variety of reasons why such an experiment might generate
- : positive results. First, the whole issue of which constitutes a "more
- : satisfying thumb" is purely subjective. Secondly, such an experiment test
- : the speaker's step response, something speakers are universally and by
- : definition very poor at, so what does the experiment prove? Third,
- : depending upon the voltage of the battery, you may very easily succeed at
- : uncovering the common mechanical and electro-magnetic unsymmetries in most
- : loudspeakers, so you may be doing nothing more than deciding which kinds
- : of distortion you prefer.
-
- I agree 110%.
-
- It'd like to mention an orchestral bass drum, in which the first
- initial strike moves the membrane inwards, thereby causing a rarefaction
- wave to be the first propagated.
-
- It's also at least 6' in diameter, which may be why no ordinary hi-fi
- setup I've heard really comes close to feeling the same---in addition
- of course to the fundamentally different acoustics. (i play
- in the university wind ensemble)
-
- : --
- : | Dick Pierce |
- : | Loudspeaker and Software Consulting |
- : | 17 Sartelle Street Pepperell, MA 01463 |
- : | (508) 433-9183 (Voice and FAX) |
-
- --
- -Matt Kennel mbk@inls1.ucsd.edu
- -Institute for Nonlinear Science, University of California, San Diego
- -*** AD: Archive for nonlinear dynamics papers & programs: FTP to
- -*** lyapunov.ucsd.edu, username "anonymous".
-