D. B. (Don) Keele, Jr. DBK Assoc., 536 W. Mishawaka Rd.,
Elkhart, IN 46517 A cycle-octave time-frequency display is
created by plotting the magnitude of the wavelet transform,
using a Morlet complex Gaussian wavelet, on a log-frequency
scale versus time in number of cycles of the wavelet's center
frequency. This type of display is quite well suited for
plotting the decay response of wideband systems, such as the
impulse response of a loudspeaker or room, because the time
scale is long at low frequencies and short at high frequencies.
If the response of typical filters are poltted on this type of
display, the resultant 3-D responses are independent of the
filter's center frequency, i.e., the decay response shape of a
particular filter remains the same as it's center frequency is
shifted up and down in log frequency. It can be shown that the
wavelet transform of a system's impulse response is equivalent
to an aggregate of the tone-burst responses of the system
evaluated at equal-percentage-spaced frequencies, w