Practical Digital Filter Design
Patrick H. Garrett · 1972
Review of Fourier, Laplace and Z-transforms provides introduction to discrete time systems. The RC low-pass filter is modeled in terms of a feedback structure and compared with its analogy to recursive low-pass digital filters. These topics introduce the preferred transversal digital filter for low-pass and band-pass applications. An efficient method of synthesizing transversal filters is demonstrated from the derivation of Fourier coefficients and time delays. A method of weighting the truncated Fourier terms by Hamming coefficients to suppress Gibb's oscillation is also shown. Design examples demonstrating the magnitude and phase response of low-pass and band-pass transversal filters are presented.