EDN

The math of DSP, part 4: Convolution, Fourier, and Nyquist

This series is excerpted from “Digital Signal Processing: Instant Access.” Order this book today and receive an additional 20% discount. Click here www.elsevierdirect.com and be sure to type in 92836.
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[日本語版] Integers and Delta Functions: Convolution Isomorphism, Fourier Duality

[整数とデルタ関数が同型で、そのフーリエ変換が双対である証明] 「整数 a と $${\delta(x-a)}$$ の同型性」「そのフーリエ変換の 双対性」および、 「自然数 a と $${\delta(x-\ln a)}$$ の同型性」「そのフーリエ変換 の双対性」「ポアソン和公式が明示公式になる ...
Simon Fraser University

FOURIER THEOREM

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...