Eckard Blumschein writes:
Of course, complex representation of a signal requires magnitude as well as phase. (Magnitude is always positive while there are positive and negative amplitudes.) This should once again persuade anybody that the inner ear does not perform a complex Fourier transform.
Malcolm Slaney's review of Pattern Playback techniques: http://rvl4.ecn.purdue.edu/~malcolm/interval/1994-036/IEEE-SMC-95.pdf was an eye-opener for me -- relatively simple techniques let you invert magnitude-only, nonlinearly-processed representations back into faithful (if not bit-accurate) audio. --- John Lazzaro http://www.cs.berkeley.edu/~lazzaro lazzaro [at] cs [dot] berkeley [dot] edu ---