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2006 IEEE 12th Digital Signal Processing Workshop & 4th IEEE Signal Processing Education Workshop
We give an overview of the algebraic signal processing theory, a recently proposed generalization of linear signal processing (SP). Algebraic SP (ASP) is built axiomatically on top of the concept of a signal model, which is a triple (A, M, Φ), where A is a chosen algebra of filters, M an associated A-module of signals, and Φ generalizes the idea of a z-transform. ASP encompasses standard time SP (continuous and discrete, infinite and finite duration), but goes beyond it, for example, bydoi:10.1109/dspws.2006.265417 fatcat:isg6e7zy4bffbe4hhv3z7bncym