Abstract
A new approach to the problem of time-variant filtering is presented. This approach is based upon the generation of the mixed time-frequency representation of a signal, multiplication of that representation by a 2-D function H(ω, t), and obtaining a filtered output by an inverse operation. An astigmatic optical system is used to implement the above operations. The resultant filter is linear if the time-frequency representation used is the complex spectrogram. In contrast, the filter is non-linear if the Wigner distribution function is used.
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