Keywords

Digital filters (Mathematics), Signal processing -- Digital techniques

Abstract

When a digital process is realized on a general-purpose computer or a special-purpose hardware, errors due to finite register length are introduced. These errors are due primarily to arithmetic roundoff, coefficient quantization, and scaling rules. This paper addresses the effects of finite word length on a direct-form implementation of a high order H (z) transfer function. The development and analysis of a modified direct-form realization suggested by Dr. Fred O. Simons, are carried out via FORTRAN emulation of a fourth-order low-pass Butterworth filter. The results are presented as a parametric tradeoff of signal-to-noise ratio at the filter output versus word length. Conclusions are drawn by comparing the modified direct-form with the canonic direct-form. The analysis presented here is intended to illustrate how a high order transfer function can be realized directly without decomposing into a group of low-order subfilters.

Notes

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Graduation Date

1984

Semester

Summer

Advisor

Simons, Fred O.

Degree

Master of Science (M.S.)

College

College of Engineering

Degree Program

Engineering

Format

PDF

Pages

46 p.

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0015929

Included in

Engineering Commons

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