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Time-Frequency-Scale Volume

The STFT is a mapping from a one-dimensional function (the domain, which is a function of time) to a two-dimensional function (the range, which is a function of time and frequency). Now suppose, rather than holding tex2html_wrap_inline1381 constant (4), we also allow it to be a parameter. The new mapping we so obtain is a mapping from the one-dimensional domain (time) to a three-dimensional range (time, frequency, and log-scale) that we previously referred to as the TFS parameter spacegif (Fig. 1(a)).

Steve Mann
Thu Jan 8 19:50:27 EST 1998