Abstract
Signal synthesis is an indispensable part of signal processing schemes based on bilinear time-frequency representations like Wigner distribution, ambiguity function or spectrogram. We present a comprehensive theory of signal synthesis in which a signal subspace constraint imparts flexibility to the synthesis process. Representing the signal subspace by a projection operator or an explicit basis results in two different types of synthesis algorithms. Subspace synthesis is particularly suited for Wigner distribution and ambiguity function.
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