A deterministic analysis of limit cycle oscillations in recursive digital filters due to quantization
By:  Sigurd Hess
Publisher: Naval Postgraduate School
Published: 1970
Place of publication: Monterey, California
Language: eng
Number of pages: 276
Description: 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.
Notes: Dissertation supervisor: Parker, S.R.

"December 1970."

Author(s) subject terms: Limit Cycle oscillations, Digital Oscillator, Digital Filter, Quantization, Roundoff, Roundoff.

DTIC Descriptive: Information Theory, Recursive Functions, Statistical Analysis, Transfer Functions, Errors, Computer Programs, Theses

DTIC Identifiers: Lyapunov Functions, Quantization, Signal Processing, Truncation Errors, Digital Filters

Dissertation (Ph.D.)--Naval Postgraduate School, 1970.

Bibliography: l. 270-273.

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