Journal ArticleDOI
Time domain design of nonrecursive least mean-square digital filters
TLDR
In this paper, a time-domain method is presented for designing nonrecursive digital filters that are optimum in the sense that the output samples are least mean-square estimates of the samples of some desired signal.Abstract:
A time-domain method is presented for designing nonrecursive digital filters that are optimum in the sense that the output samples are least mean-square estimates of the samples of some desired signal. The method requires that one know the input autocorrelation function and the cross-correlation function between the input and the desired output. Several examples are given of filters designed by the method. The optimum filters can be obtained by sampling the impulse responses of optimum filters for continuous reconstruction of the waveforms from their samples.read more
Citations
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Journal ArticleDOI
Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters
TL;DR: In this article, a new method of designing linear-phase FIR filters is proposed by minimizing a quadratic measure of the error in the passband and stopband, based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix.
Journal ArticleDOI
The design of arbitrary FIR digital filters using the eigenfilter method
TL;DR: The design of the complex-coefficient filter is shown to be an extension of thedesign of the real- coefficient filter.
Journal ArticleDOI
Statistical design of nonrecursive digital filters
D. Farden,L. Scharf +1 more
TL;DR: The philosophy adopted is that for a given FIR filter structure, the filter coefficients can be designed to provide a minimum mean-squared error (MMSE) estimate of a random signal sequence imbedded in a random noise sequence.
Journal ArticleDOI
Optimal design of FIR high pass filter based on L1 error approximation using real coded genetic algorithm
TL;DR: It is concluded that RCGA leads to the best solution under specified parameters for the FIR filter design on account of slight unnoticeable higher transition width.
Journal ArticleDOI
Statistical design of autoregressive-moving average digital filters
Louis L. Scharf,J. Luby +1 more
TL;DR: In this article, the authors present a systematic design of digital filters that contain poles and zeros, which are then used to generate consistent unit-pulse and covariance sequences for use in the Mullis-Roberts algorithm.
References
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Journal ArticleDOI
An approach to the approximation problem for nonrecursive digital filters
TL;DR: In this article, a direct design procedure for nonrecursive digital filters, based primarily on the frequency-response characteristic of the desired filters, is presented, and an optimization technique is used to minimize the maximum deviation of the synthesized filter from the ideal filter over some frequence range.
Journal ArticleDOI
The design of wide-band recursive and nonrecursive digital differentiators
TL;DR: In this article, the authors presented a design for recursive and non-recursive wide-band differentiators based on the magnitude of the frequency response, and the coefficients were optimally chosen to minimize the peak absolute error between the obtained frequency response and the response of an ideal differentiator.
Journal ArticleDOI
A direct search procedure for designing finite duration impulse response filters
TL;DR: An approach is introduced to the design of low-pass (and, by extension, bandpass) digital filters containing only zeros by directly searching for transition values of the sampled frequency response function to reduce the sidelobe level of the response.
Journal ArticleDOI
Designing simple, effective digital filters
D. Tufts,D. Rorabacher,W. Mosier +2 more
TL;DR: It is shown that useful performance can be achieved within the constraints of very simple realizations in a class of narrow-band digital filters.
Journal ArticleDOI
An Extension of Wiener Filter Theory to Partly Sampled Systems
TL;DR: This paper treats the problem of optimizing the simplest possible mixed system consisting of an input filter with transfer function K, a sampler with sampling interval T , and an output filter withTransfer function L(s) .
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