# Generalized digital Butterworth filter design

@article{Selesnick1996GeneralizedDB, 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}, year={1996}, volume={3}, pages={1367-1370 vol. 3} }

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…

## 227 Citations

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

- EngineeringIEEE Transactions on Circuits and Systems I: Regular Papers
- 2006

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

- Engineering
- 2010

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

- EngineeringProceedings 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

- Engineering, Mathematics2008 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

- Engineering
- 1999

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

- Engineering2006 International Caribbean Conference on Devices, Circuits and Systems
- 2006

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

- Engineering
- 2010

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

- Physics
- 1998

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

- Engineering
- 2003

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

- Computer Science
- 2014

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.

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