Optimum discrete coefficient realization of FIR filters
Wei‐Yong Yan, Kok Lay Teo · 2002
This paper treats the problem of optimal approximation of a given FIR filter by a discrete coefficient FIR filter for fast implementation in hardware. It is shown that the problem can be arbitrarily closely approximated by problems of optimization over a certain smooth compact manifold. Two simple algorithms, which are defined in terms of an ordinary differential equation and a recursive equation, respectively, are derived and guaranteed to be convergent.