• Corpus ID: 107636911

Algorithms for the Constrained Design of Digital Filters with Arbitrary Magnitude and Phase Respo

@inproceedings{Lang1999AlgorithmsFT,
  title={Algorithms for the Constrained Design of Digital Filters with Arbitrary Magnitude and Phase Respo},
  author={Markus Lang},
  year={1999}
}
  • M. Lang
  • Published 1999
  • Computer Science
This thesis presents several new algorithms for designing digital lters subject to speci cations in the frequency domain. Finite impulse response (FIR) as well as in nite impulse response (IIR) lter design problems are considered. Unlike many standard lter design algorithms, all methods proposed here solve the problem of simultaneously approximating speci ed magnitude and phase responses. Filters of this type can be used to optimally equalize magnitude and phase distortions. Such problems occur… 

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References

SHOWING 1-10 OF 132 REFERENCES
On design techniques for approximately linear phase recursive digital filters
  • S. Lawson
  • Mathematics
    Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97
  • 1997
Digital filters made from a parallel combination of two allpass branches have been of considerable interest for more than a decade. The design of such filters can be viewed as a phase approximation
Accelerated design of FIR filters in the complex domain
  • D. Burnside, T. Parks
  • Computer Science
    1993 IEEE International Conference on Acoustics, Speech, and Signal Processing
  • 1993
TLDR
An algorithm for a standard filter design problem, the design of an FIR (finite impulse response) filter that best approximates, in the Chebyshev sense, a desired complex-valued frequency response is presented.
Design of optimal digital FIR filters with arbitrary magnitude and phase responses
  • Lina Karam, J. McClellan
  • Computer Science
    1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96
  • 1996
TLDR
This paper presents a new multiple-exchange ascent algorithm for designing optimal Chebyshev digital FIR filters with arbitrary magnitude and phase specifications that reduces to the classic second Remez (Parks-McClellan) algorithm when real-only or imaginary-only filters are designed.
Some comparisons between fir and iir digital filters
The purpose of this paper is to make comparisons between optimum, linear phase, finite impulse response (FIR) digital filters and infinite impulse response (IIR) digital filters which meet equivalent
Design of recursive digital filters with optimum magnitude and attenuation poles on the unit circle
A class of infinite impulse response (IIR) digital filters with optimum magnitude in the Chebyshev sense, arbitrary attenuation in the passband and stopband, all zeros on the unit circle, and
Constrained least square design of FIR filters with arbitrary magnitude and phase responses
  • M. Lang
  • Computer Science
    Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97
  • 1997
TLDR
This paper presents an efficient multiple exchange algorithm for the frequency domain design of digital FIR filters with arbitrary magnitude and phase responses that allows for an arbitrary trade-off between complex L/sub 2/ approximation and Chebyshev approximation of given magnitude andphase responses.
Weighted least squares IIR filter design with arbitrary magnitude and phase responses and specified stability margin
  • M. Lang
  • Engineering
    1998 IEEE Symposium on Advances in Digital Filtering and Signal Processing. Symposium Proceedings (Cat. No.98EX185)
  • 1998
This paper presents a new approach to the frequency domain design of infinite impulse response (IIR) digital filters with arbitrary magnitude and phase responses and a constraint on the maximum pole
A unified approach to the design of optimum FIR linear-phase digital filters
A method for designing finite-duration impulse-response (FIR) linear-phase digital filters is presented in which the four possible cases for such filters are treated in a unified approach. It is
A technique for multiple criterion approximation of FIR filters in magnitude and group delay
TLDR
The formulation of nonlinear phase FIR filter design in terms of simultaneous magnitude and group-delay approximation addresses the two parameters of ultimate interest for applications.
Chebyshev design of FIR filters with arbitrary magnitude and phase responses
  • M. Lang
  • Computer Science
    1996 8th European Signal Processing Conference (EUSIPCO 1996)
  • 1996
TLDR
A linearization approach leads to a problem formulation that allows the use of stable algorithms with guaranteed convergence and it is shown that for this linear approach the simultaneous Chebyshev approximation of a desired magnitude and phase response is a special case of complex ChebysHEv approximation with independent weighting of the magnitude andphase errors.
...
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