Cours de mathématiques du signal / H. Reinhard

This is a book intended as a guide for engineers working in the area of signal processing. Here are its Contents: (1) Integration theory, L 1 and L 2 spaces, Fourier series; (2) Fourier and Laplace transforms; (3) Schwartz distributions; (4) Convolution and Laplace transforms of distributions; (5) Fourier transforms of distributions; (6) Distributions, spectra and filtering; (7) Elementary probability theory; (8) Random variables; (9) Ergodic processes; (10) Gaussian random variables. All is included in 255 pages. As it is seen (and as it must be) the book contains both deterministic and probabilistic tools used in the signal processing. Examples and counterexamples given throughout the book offer a deep insight into the various methods used in the aforementioned domain. The style is accessible and attractive. The exposition is at a graduate level. Primarily addressed to electric and electronic engineers, the book will surely be useful for a larger area of technical users. Therefore, we warmly recommend it as a profitable lecture and at the same time as “un instrument de travail” because of the clear exposition of the main mathematical ideas underlying the signal processing. (Zentralblatt)

Index