A deterministic analysis of limit cycle oscillations in recursive digital filters due to quantization
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Authors
Hess, Sigurd
Subjects
Limit Cycle oscillations, Digital Oscillator, Digital Filter, Quantization, Roundoff, Roundoff.
limit cycle oscillations
digital oscillator
digital filter
quantization
roundoff
truncation
limit cycle oscillations
digital oscillator
digital filter
quantization
roundoff
truncation
Advisors
Parker, S.R.
Date of Issue
1970-12
Date
December 1970
Publisher
Monterey, California ; Naval Postgraduate School
Language
en_US
Abstract
A deterministic analysis of the limit cycle oscillations which occur in fixed-point implementations of recursive digital filters due to roundoff and truncation quantization after multiplication operations, is performed. Amplitude bounds, based upon a correlated nonstochastic signal approach and Lyapunov's direct method, as well as an approximate expression for the frequency of zero-input limit cycles, are derived and tested for the two-pole filter. The limit cycles are represented on a successive value phase-plane diagram from which certain symmetry properties are derived. Similar results are developed for other second-order digital filter configurations, and the' parallel and cascade forms. The results are extended to include limit cycles under in-put signal conditions. A basic design relationship between the number of significant digits required for the realization of a filter algorithm with a desired signal-to-noise (limit cycle) ratio is stated.
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
276 p.: ill.;28 cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner