In Chap. 3, the design of IIR filter was considered. These filters are designed by transformation from analog domain to digital domain. They are called recursive filters since feedback is used. Hence, IIR filters should be carefully designed to ensure that the system function H(z) is stable. In the case of FIR filter design which is non-recursive in nature, the stability problem does not arise. Since the system function H(z) is a polynomial of \(z^\) it always guarantees the stability of the filter. Further, unlike IIR filter design which has nonliner phase characteristic, the FIR digital filter has linear phase. A filter with a nonlinear phase characteristic causes phase distortion in the signal which is undesirable in much practical applications such as data transmission, music and video. However, to meet the same frequency response specifications, the order of FIR filter transfer function is much higher than that of an IIR digital filter. Hence, FIR filters require more parameters more memory and has more computational complexity.
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