Journal ArticleDOI
On the design of optimal equiripple FIR digital filters for data transmission applications
TLDR
In this paper, an improved linear programming algorithm is required for the design of finite impulse response (FIR) digital filters, which avoids the numerical ill-conditioning problems which commonly occur due to the necessity to sample the frequency response on a very dense grid of points for high-order filters.Abstract:
An improved linear programming algorithm is required for the design of finite impulse response (FIR) digital filters. This algorithm avoids the numerical ill-conditioning problems which commonly occur due to the necessity to sample the frequency response on a very dense grid of points for high-order filters. This technique is applied to the design of equiripple FIR Nyquist filters and equiripple FIR transmit and receive matched-filters for data transmission applications. The use of linear programming insures that the designs are optimal in the sense that they achieve the maximum possible stopband attenuation for a given filter order and stopband edge frequency. The design algorithm for the matched filters consists of a two-stage process of linear programming to design a Nyquist filter with a nonnegative frequency response followed by standard spectral factorization techniques to extract the nonlinear-phase transmit and receive filters. The design software consists primarily of commonly available FORTRAN subroutine packages for linear programming and polynomial factorization, and is numerically well behaved and very accurate. >read more
Citations
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Journal ArticleDOI
A Square-Root Nyquist (M) Filter Design for Digital Communication Systems
TL;DR: A novel method based on a cost function whose minimization leads to designs that can strike a balance between the stopband attenuation, the residual intersymbol interference, robust sensitivity to timing jitter, and/or reduced peak-to-average power ratio (PAR).
Journal ArticleDOI
A trellis search algorithm for the design of FIR filters with signed-powers-of-two coefficients
Chao-Liang Chen,A.N. Willson +1 more
TL;DR: In this paper, an efficient two-stage algorithm is presented for designing finite-impulse response (FIR) filters that employ sums of signed-powers-of-two (SPT) coefficients.
Journal ArticleDOI
Design of orthogonal pulse shapes for communications via semidefinite programming
TL;DR: The design of orthogonal pulse shapes is formulated as a convex semidefinite programming problem, from which a globally optimal pulse shape can be efficiently found and demonstrated by the design of waveforms with substantially improved performance over the "chip" waveforms specified in standards for digital mobile telecommunications.
Journal ArticleDOI
A VLSI architecture for a high-speed all-digital quadrature modulator and demodulator for digital radio applications
Henry Samueli,B.C. Wong +1 more
TL;DR: An all-digital architecture is presented for implementing the front-end signal-processing functions in a quadrature modulator and demodulator for high bit-rate digital radio applications, which results in a generic chip set suitable for a wide variety of high bit of rate digital modem designs using formats such as M-ary PSK and QAM.
Journal ArticleDOI
Nyquist filters with robust performance against timing jitter
TL;DR: A novel technique for designing finite impulse response (FIR) equiripple Nyquist filters with almost no intersymbol interference (ISI), good robustness to timing jitter, and satisfactory stopband performance is proposed.
References
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Journal ArticleDOI
A computer program for designing optimum FIR linear phase digital filters
TL;DR: A general-purpose computer program which is capable of designing a large Class of optimum (in the minimax sense) FIR linear phase digital filters and is shown to be exceedingly efficient.
Proceedings ArticleDOI
A procedure for designing exact reconstruction filter banks for tree-structured subband coders
TL;DR: In this paper, it is shown that it is possible to design tree-structured analysis/reconstruction systems which meet the sampling rate condition and which also result in exact reconstruction of the input signal.
Journal ArticleDOI
On half-band, third-band, and Nth-band FIR filters and their design
TL;DR: It is shown that for certain filter requirements, common to decimation and interpolation, an Nth-band filter exists with passband and stopband ripples only slightly larger than those of the optimal FIR filter.
Journal ArticleDOI
Linear program design of finite impulse response (FIR) digital filters
TL;DR: The use of linear programming techniques for designing digital filters has become widespread in recent years as discussed by the authors, among the techniques that have been used include steepest descent methods, conjugate gradient techniques, penalty function techniques and polynomial interpolation procedures.
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