Keywords

Digital control systems, Signal processing -- Digital techniques, Finite-word-length effects, Quantization error analysis, Cascaded second-order sections (biquads), Sample-rate-to-signal-frequency ratio, Internal arithmetic precision requirements

Abstract

The relationship between internal precision and input/output precision and the ratio of sample frequency to signal frequency has been described in qualitative terms for the general case and in quantitative terms for many special cases. This paper attempts to generate quantitative approximated guidelines for the general case. Lowpass and bandpass digital filters are implemented using cascaded second order sections via a program that varies the amount of internal precision available for the emulation, and calculates the error produced compared to a 64 bit standard. The errors are plotted, and general equations relating input/output precision and internal precision and the ratio of sample frequency to signal frequency and the order of the filter are developed for both the bandpass and lowpass cases.

Notes

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Graduation Date

1985

Semester

Fall

Advisor

Simons, Fred O.

Degree

Master of Science (M.S.)

College

College of Engineering

Department

Engineering

Format

PDF

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0017524

Subjects

Signal processing--Digital techniques--Computer simulation; Digital filters (Mathematics)--Design and construction; Digital filters (Mathematics)--Computer programs; Signal processing--Digital techniques--Mathematics; Signal processing--Evaluation

Accessibility Status

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