Equiripple Approximation of Half-Band FIR Filters

A novel design procedure of equiripple (ER) half-band (HB) finite-impulse-response (FIR) filters is developed. A solution to the approximation problem in terms of generating function and zero-phase transfer function for the ER HB FIR filter is presented. The ER HB FIR filters are optimal in the Chebyshev sense. The closed-form solution provides an efficient computation of the impulse response of the filter. One example is included.