Appendix BClassical Signal Processing
In this appendix, a short review of classical signal processing concepts and related definitions are presented. Concepts such as linear time invariant (LTI) filters, continuous-time and discrete-time Fourier transforms, and discrete Fourier transforms are fundamental in classical signal processing. In addition, techniques for multiscale analysis such as continuous-time wavelet transforms and filter banks are briefly discussed.
B.1 Linear Time Invariant Filters
A filter (or system) is called linear if it satisfies the principles of homogeneity and superposition. The homogeneity condition states that if the input is scaled by a scalar constant α, then the output is also scaled by the same quantity, α. That ...