This book explains advances in signal sampling theory and techniques, addressing the issues of the minimal amount of numbers or sampling rate sufficient to represent analog signals with a given accuracy; the kinds of signal distortions caused by their sampling; the signal attributes that determine the minimal sampling rate; how to sample signals with sampling rates close to the theoretical minimum; whether it is possible to resample signals without introducing additional distortions due to the resampling; and the adequate discrete representations of signal transforms. Chapters address sampling theorems; compressed sensing; image sampling and reconstruction; signal and image resampling; discrete sinc interpolation in other applications and implementation; the discrete uncertainty principle, sinc-lets, and other properties of sampled signals; the basic principles of discrete representation of signal transformation; and discrete representation of the convolution integral and Fourier integral transform. It includes MATLAB-based exercises. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
