Abstract

A direct design procedure for nonrecursive digital filters, based primarily on the frequency-response characteristic of the desired filters, is presented. An optimization technique is used to minimize the maximum deviation of the synthesized filter from the ideal filter over some frequence range. Using this frequency-sampling technique, a wide variety of low-pass and bandpass filters have been designed, as well as several wide-band differentiators. Some experimental results on truncation of the filter coefficients are also presented. A brief discussion of the technique of nonuniform sampling is also included.

Keywords

Prototype filterm-derived filterBand-pass filterDigital filterNetwork synthesis filtersHalf-band filterFilter designLow-pass filterFilter (signal processing)Frequency responseMathematicsAdaptive filterTruncation (statistics)Chebyshev filterSampling (signal processing)High-pass filterAnalogue filterAlgorithmControl theory (sociology)Computer scienceElectronic engineeringEngineeringStatisticsMathematical analysis

Affiliated Institutions

Related Publications

Digital filters with equiripple or minimax responses

Techniques for determining the coefficients of digital filters which have equiripple or minimax errors are reviewed and occasionally extended. These techniques include: 1) mappi...

1971 IEEE Transactions on Audio and Electr... 68 citations

Truncated Importance Sampling

AbstractImportance sampling is a fundamental Monte Carlo technique. It involves generating a sample from a proposal distribution in order to estimate some property of a target d...

2008 Journal of Computational and Graphica... 195 citations

Adaptive finite time filtering

A detailed analysis of a particular adaptive filter has been carried out and the required extension of the theory to the general case is indicated. The filter measures the spect...

1962 IRE Transactions on Automatic Control 6 citations

Publication Info

Year
1970
Type
article
Volume
18
Issue
2
Pages
83-106
Citations
173
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

173
OpenAlex

Cite This

L. R. Rabiner, Ben Gold, C. A. McGonegal (1970). An approach to the approximation problem for nonrecursive digital filters. IEEE Transactions on Audio and Electroacoustics , 18 (2) , 83-106. https://doi.org/10.1109/tau.1970.1162092

Identifiers

DOI
10.1109/tau.1970.1162092