Introduction and Outline
Linear signal spaces are of great importance in signal and system theory, communication theory, and modern signal processing. Traditionally, a linear signal space is considered to be a more or less abstract mathematical concept. In this work, however, a time-frequency (TF) analysis of linear signal spaces is proposed whereby linear signal spaces are represented as surfaces extending over a joint TF plane. This new viewpoint is based mathematically on specific TF representations of linear signal spaces that extend well-known TF representations of signals. Thus, this work provides an extension of the TF analysis of signals to linear signal spaces.
KeywordsSignal Space Wigner Distribution Ambiguity Function Quadratic Signal Statistical Signal Processing
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