International Conference on Acoustics, Speech, and Signal Processing · 2002 · 17 citations · 8 references
ComputingComputer EngineeringComputer ScienceAlgorithmsDesign ComputationTheory Of ComputationApproximation MethodsDigital Signal ProcessingFrequency ResponseIterative SolversNumerical AlgorithmsSmall-signal AnalysisChebyshev ApproximationFilter ApproximationFilter ResponseFinite Impulse Response FiltersFrequency Domain ProcessingImpulse ResponseInfinite Impulse Response FiltersRecursive Algorithm Design
A technique for designing IIR (infinite impulse response) filters with a complex-valued frequency response is proposed. The complex logarithmic error, whose real and imaginary parts represent the log magnitude and phase errors, respectively, is minimized in the Chebyshev sense using an iterative weighted-least-squares (WLS) technique in the frequency domain. Both the log magnitude and phase errors of the resulting filter become nearly equiripple. Filter coefficients at each iteration are efficiently computed using a fast recursive algorithm for a set of linear equations which is derived from the WLS problem.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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IEEE Acoustics Speech and Signal Processing Newsletter · 1974 · 1.3K citations
The Lawson algorithm and extensions
John R. Rice, Karl H. Usow · Mathematics of Computation · 1968 · 82 citations · Full text