NDLI: Parallel realizations of digital interpolation filters for increasing the sampling rate

Content Provider	IEEE Xplore Digital Library
Author	Urkowitz, H.
Copyright Year	1974
Description	Digital interpolators can be used to increase the sampling rate of a sampled waveform when the limitations of analog to digital converter circuitry may prevent obtaining directly the increased sampling rate. As Schafer and Rabiner have shown [1], the interpolation process can be viewed as a linear filtering operation which produces output samples at a rate different from the input rate. In this paper, the interest is in the case where the output rate is an integral multiple of the input. The interpolating filter can be realized in a transversal or serial form in which the output samples are obtained in serial form. However, by rearranging the delays, weights, and outputs, the output samples may be obtained in parallel form. The reason for seeking parallel outputs is that parallel arithmetic may be performed without the need for commutators, and at a slower rate than serial arithmetic. If the sampling rate is to be increased by a factor L, L parallel outputs are obtained. By means of specific examples, the various methods for obtaining parallel outputs are shown. The examples are 3-point interpolators (i.e., each interpolated value is a linear combination of three input sample values) used for tripling the sampling rate. Generalizations to higher order interpolators are given and an example shows a 4-point interpolator for quadrupling the sampling rate. The Appendix gives the numerical values of digital impulse responses for various Lagrangian interpolators.
Starting Page	146
Ending Page	154
Page Count	9
File Size	871589
File Format	PDF
ISSN	00984094
Volume Number	22
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1975-02-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interpolation Digital filters Sampling methods Nonlinear filters Arithmetic Analog-digital conversion Circuits Maximum likelihood detection Transversal filters Delay
Content Type	Text
Resource Type	Article
Subject	Engineering

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