Crochiere R.E., Rabiner L.R. Multirate Digital Signal Processing

New Jersey: Prentice Hall, 1983. — 424 p.The goal of this book is to provide a theoretical exposition of all aspects of multirate digital signal processing. The basis for the theory is the Nyquist sampling theorem and the general theory of lowpass and bandpass sampling. Thus in Chapter 2 we present a general discussion of the sampling theorem and show how it leads to a straightforward digital system for changing the sampling rate of a signal. The canonic form of the system is a realization of a linear, periodically time-varying digital system. However for most cases of interest considerable simplifications in the form of the digital system are realized. Thus in the special cases of integer reductions in sampling rate, integer increases in sampling rate, and rational fraction changes in sampling rate, significant reductions in complexity of the digital system are achieved. In such cases the digital system basically involves filtering and combinations of subsampling (taking 1 of M samples and throwing’ away the rest) and sampling rate expansion (inserting L-1 zero valued samples between each current sample).