ABSTRACT
Analysis and synthesis in signal processing refers to the effort to study complicated functions in terms of simpler ones. The basic building blocks are orthogonal bases and frames.
We begin with signal-processing problems arising in radar. Not only does radar provide an important illustration of the application of the theory of Fourier transforms and matched filters, but it also serves to motivate several of the mathematical concepts we shall encounter in our discussion of wavelets. The connection between radar signal processing and wavelets is discussed in some detail in Kaiser’s book [97].
