| |||
|
|
Algebraic Signal processing Theory When I began studying DSP, the first question that came to my mind was: "how to formalize signals in terms of algebraic structures?". Later I've found a paper devoted to algebraic signal processing. Here the main concepts of SP theory are written in the language of modern algebra: filters are an algebra (usually commutative), signals are a module over the algebra of filters, Fourier transform is a homomorphism from A-module of signals to itself, z-transform is a functor from the category of A-modules to the category of polynomial algebras, etc. There is also a very nice table that assigns an associated A-module and filter algebra to a system of each type (in engineering sense). :) Добавить комментарий: |
|||||||||||||