The wave packet transform (WPT) as applied to signal processing

The wave packet transform (WPT) is introduced. It uses the Weyl operator and wave packet functions, i.e., functions that are similar to wavelets, in a linear form to compute coefficients in a two-dimensional space of time and frequency. The importance of the Weyl operator in the WPT and its use with different wave packets are discussed. It is shown that the energetic form of the WPT, the wavepacketgram, i.e., the modulus square of the WPT, is a member of Cohen´s class of time-frequency distributions. It is also shown that the wavepacketgram is a positive time-frequency distribution