Description, Analysis and Simulation of a New Realization of Digital Filters
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Authors
Amin Mahrous, Ahmed Fahmy
Subjects
IIR
FIR
delta modulation
delta convolution
reduced delta convolution
digital filters
FIR
delta modulation
delta convolution
reduced delta convolution
digital filters
Advisors
Date of Issue
1987-09
Date
Publisher
Language
en_US
Abstract
This research considers a new realization of digital filters suitable for VLSI
implementation. The method involves delta modulation which provides analog-todigital
(binary) conversion. The output of a linear system is the convolution of the
input and the system impulse response. This new digital filter requires that both
the input and the impulse response be first converted to bit streams using delta
modulation. These bit streams are then convolved. The result is an analog voltage
which approximates the convolution of the analog functions.
Direct convolution of the bit streams is difficult to realize with electrical circuits.
A greatly simplified system with equivalent performance is a result of this
research. This is called the reduced delta convolution (RDC) system (digital filter).
The performance of the RDC system when used as a convolver and as a correlator
is analyzed and verified by computer simulation. Analyses of the effects of self
noise and external noise are included. Conclusions are that the RDC system has
considerable potential as a digital filter when using integrated circuits. Realization
requires considerably fewer components and simpler connections than other digital
filters. A reason is that there are no multipliers required in the RDC system. The
RDC system requires no synchronization, operates in real time and is easily programmed.
Further, the RDC system has noise performance which is better than
predicted by ordinary filter theory.
Type
Thesis
Description
Series/Report No
Department
Electrical and Computer Engineering
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
184 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.