A Guide to Distribution Theory and Fourier Transforms — Strichartz

Robert S. Strichartz

Distributions (generalized functions): the Dirac delta, Heaviside step, distributional derivatives, convolution, and the Fourier transform of tempered distributions. Explains rigorously why the impulse response, convolution, and Fourier analysis of LTI systems work — and why discontinuous signals can be differentiated. The mathematical backbone of signal processing.

Chapters

Exercises added as I work through each chapter.