Discrete-time signals arising from simple polynomial sets
Dean J. Schmidlin · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 1999
The simple polynomial set is introduced as a mathematical tool for representing and generating discrete-time signals. Two benefits result. A signal derived from a simple polynomial set comes with an expression for its z-transform and a recurrence relation for its rapid computation. Two examples are presented. The purpose of these examples is to show that simple sets of polynomials can give rise to signals having more diverse properties than signals with rational z-transforms.