1993
DOI: 10.1109/82.238373
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Design of discrete coefficient FIR digital filters with arbitrary amplitude and phase responses

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Cited by 23 publications
(7 citation statements)
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“…where K is the filter order; and a(k) is the filter coefficient. Then, the frequency response data H sin (jω) is used to estimate the transfer function by minimizing a cost function J given by [26]:…”
Section: B Conceptualization Of Complex Brick-wall Band-pass Filtermentioning
confidence: 99%
“…where K is the filter order; and a(k) is the filter coefficient. Then, the frequency response data H sin (jω) is used to estimate the transfer function by minimizing a cost function J given by [26]:…”
Section: B Conceptualization Of Complex Brick-wall Band-pass Filtermentioning
confidence: 99%
“…Several methods have been proposed for coefficient truncation: exhaustive search over possible truncated coefficients 1, successive truncation of coefficients and re‐optimization over remaining ones 2, 5, local bivariate search around the scaled and truncated coefficients 6, tree‐traversal techniques for truncated coefficients organized in a tree according to their complexity 7, 8, coefficient quantization using information‐theoretic bounds 9, weighted least squares 10, simulated annealing 11, 12, genetic algorithms 13, 14, Tabu search 15, and design of optimal filter realizations that minimize coefficient complexity 11, 16. Other approaches have formulated the problem as a nonlinear discrete optimization problem 17, or have used integer programming techniques over the space of powers‐of‐two coefficients 18, 19.…”
Section: Introductionmentioning
confidence: 99%
“…The famous methods are Remez permutation algorithm based on the rule about maximal error minimum and linear programming algorithm in all the methods. The weight least square (WLS) algorithm easily come true, and can acquire analytical solution [1], [2], [3], but it must calculate the inverse of a matrix. The matrix's rank is the number of the independent coefficients of the filter.…”
Section: Introductionmentioning
confidence: 99%