Summary of Methods Tried So Far

In summary, the methods depicted in Fig.B.25 are as follows:

• angle(S^1.5)
• angle(sqrt(S^3)
• angle(exp(1.5*(real(log(S))+unwrap(imag(logS)))))
• angle(abs(S)^1.5*exp(-j*1.5*unwrap(angle(S))), made odd,
  

where S = exp(-j*3*w*T) is the spectrum of 3-sample delay.

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Order a Hardcopy of Spectral Audio Signal Processing

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.