Half-Band FIR Filters for Signal Compression
An efficient design of equiripple half-band FIR filters for signal compression 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. Half-Band (HB) filters are basic building blocks in wavelet analysis, signal compression and in multirate signal processing. The only available method for designing EquiRipple (ER) HB Finite Impulse Response (FIR) filters is based on the numerical McClellan - Parks program.