Fast design of half-band FIR filters

A fast design of equiripple half-band FIR filters is presented. Solution of the approximation problem in terms of generating function and zero phase transfer function for the equiripple half-band FIR filter is shown. The equiripple half-band 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.