ABSTRACT
This chapter discusses elements of discrete-time signal processing techniques. It explores basics of the z-transform analysis of discrete-time linear systems, and properties of certain relevant discrete-time filters. The chapter outlines mathematical language used in describing discrete-time signals. Typically signals found in nature are continuous. However, in order to process continuous-time signals on a computer, these signals have to be discretized. The chapter describes system function, and systems specified via linear constant-coefficient difference equations. In addition, frequency domain analysis of discrete-time linear systems. In general, systems described by such class of difference equations are not necessarily causal. A discrete-time filter, similar to its continuous-time analog, transforms an input signal to its output signal. Filters are generally classified in terms of their frequency response. Special filters like the linear phase filter, all-pass filter, and minimum-phase filter. The output of certain important filters are allocated more transmission resources than the less important filters.
