Generation of digital transfer functions of the FIR type approximating z/sup -p/q/

It is shown that a polynomial approximation of z/sup -p/q/ is possible. The method of obtaining the various coefficients of the polynomial is given. The case of z/sup -1/2/ is discussed in detail. It is shown that it is possible to optimize the coefficients of the polynomial so as to minimize the sum of the squares of the error between the response and the ideal one. The responses considered can be magnitude, phase, or group delay, and as a consequence, a combination of magnitude and group delay responses.<<ETX>>