Generalized digital Butterworth filter design

  title={Generalized digital Butterworth filter design},
  author={Ivan W. Selesnick and C. Sidney Burrus},
  journal={1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings},
  pages={1367-1370 vol. 3}
  • I. SelesnickC. Burrus
  • Published 7 May 1996
  • Engineering
  • 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings
This paper presents a formula-based method for the design of IIR filters having more zeros than (nontrivial) poles. The filters are designed so that their square magnitude frequency responses are maximally-flat at /spl omega/=0 and at /spl omega/=/spl pi/ and are thereby generalizations of classical digital Butterworth filters. A main result of the paper is that, for a specified half-magnitude frequency and a specified number of zeros, there is only one valid way in which to split the zeros… 

A new method for the design of IIR filters with flat magnitude response

This paper presents a new direct design of infinite-impulse response (IIR) filters with a flat magnitude response in both passband and stopband (Butterworth filters). The design specifications are

Analysis of First Generalized IIR Digital Butterworth Filter Design Using MATLAB

This paper introduces a first generation IIR digital filters that unifies the classical digital Butterworth filters and the well known maximally at FIR filters.

A quasi-equiripple design of IIR filters with unequal number of poles and zeros

  • J. KonopackiK. Moscinska
  • Engineering
    Proceedings of the 17th International Conference Mixed Design of Integrated Circuits and Systems - MIXDES 2010
  • 2010
IIR filter design often comprises approximation of both magnitude and phase responses. One of the major problems is filter stability, which can be obtained with suitable value of group delay τ. This

Group delay and filter order estimation for least-squares design of IIR filters with unequal number of poles and zeros

  • J. Konopacki
  • Engineering, Mathematics
    2008 International Conference on Signals and Electronic Systems
  • 2008
A weighted least squares design of IIR filters has been considered in many publications. A problem that remains open is the choice of suitable filter order and suitable group delay of the desired

Low-pass filters realizable as all-pass sums: design via a new flat delay filter

This paper describes a new class of maximally flat low-pass recursive digital filters. The filters are realizable as a parallel sum of two all-pass filters, a structure for which low-complexity

New Method for Flat IIR Filter Design with Improved Group Delay

This paper presents a new direct method for the design of IIR filters with flat magnitude response in both passband and stopband i.e. Butterworth type filters. The proposed filters have an improved

A Procedure for Quasi-Equiripple Linear-Phase IIR Filters Design

A novel procedure for determining N and τ values in case of quasi-equiripple design of IIR filters is proposed; the procedure is valid for all types of filters with arbitrary number of zeros and a few non-zero poles.

Magnitude approximation of digital filters with specified degrees of flatness and constant group delay characteristics

New techniques to approximate the magnitude response of infinite-impulse response digital filters with maximally flat or equiripple delay characteristics are presented. A polynomial with maximally

Design of Chebyshev-Type IIR Filters with Approximately Linear Phase Characteristics

SUMMARY Digital filters with a linear phase characteristic are needed in many applications for signal processing. In this paper, design of a Chebyshev-type IIR filter with approximate linear phase

Performance Analysis of Analog Butterworth Low Pass Filter as Compared to Chebyshev Type-I Filter, Chebyshev Type-II Filter and Elliptical Filter

6th order Butterworth filter was chosen because it is flat in the pass band and has no amount of ripples in the stop band and this filter is designed for the signal analysis and also compared with other filters.



Design of optimum recursive digital filters with zeros on the unit circle

It turns out that the classical elliptic filters are seldom the best representatives of the filter class discussed in the paper, so simple explanations of some properties of the filters with denominator order lower than numerator order are given.

Design of digital filters with maximally flat passband and equiripple stopband magnitude

This paper introduces a general class of digital filters with maximally flat passband magnitude, equiripple stopband magnitude, and different order numerator and denominator. the classical Chebyschev

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

Maximally flat low-pass FIR filters with reduced delay

This paper describes a new class of nonsymmetric maximally flat low-pass finite impulse response (FIR) filters. By subjecting the magnitude and group delay responses (individually) to differing

Recursive digital filters with maximally flat group delay

A well-known limitation of the recursive digital filter, when compared to the nonrecursive filter, is its incapability of having a strictly linear phase characteristic; thus it may only approximate a

A technique for realizing linear phase IIR filters

A real-time IIR filter structure is presented that possesses exact phase linearity with 10 approximately 1000 times fewer general multiplies than conventional FIR filters of similar performance and

On the design of recursive low-pass digital filters

The magnitude-squared characteristic of a low-pass filter is approximated, over the finite interval [-1, 1 ], by the ratio φ(x)/[φ(x) + P(x)] of two polynomials. For elliptic filter design, a special

On the approximation problem in nonrecursive digital filter design

A new class of selective nonrecursive digital filters with a maximally flat frequency response in the passband and stopband is introduced. The proposed design method is based on a special solution of

Design of computationally efficient elliptic IIR filters with a reduced number of shift-and-add operations in multipliers

A new design method for elliptic IIR filters that provides the implementation of half of the multiplication constants with few shifters and adders is proposed, and it is shown that all second-order all-pass sections can be implemented with one common multiplication constant determined by the center of the circle.

An efficient iterative algorithm for designing optimal recursive digital filters

A new iterative algorithm is presented for the efficient design of unconstrained and constrained infinite impulse response (IIR) digital filters, designed iteratively by recourse to the Remez algorithm and to appropriate design parameters and criteria at each iteration.