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Peak signal-to-noise ratio formulas for multi-stage delta modulation with RC-shaped Gaussian input signals

Peak signal-to-noise ratio formulas for multi-stage delta modulation with RC-shaped Gaussian input signals
Peak signal-to-noise ratio formulas for multi-stage delta modulation with RC-shaped Gaussian input signals
A multistage delta modulation (MSDM) encoder contains a number of delta modulation (DM) stages, where each delta modulator encodes the band‐limited error of the previous delta modulator. The DM binary outputs are then multiplexed for transmission. By this technique, substantial gains in s/n compared to a single‐stage DM can be achieved at high transmitted bit rate to message bandwidth ratios (fp/fc). For Gaussian input signals having band‐limited resistance‐capacitance (rc) spectra, the peak s/n performance of MSDM as a function of (fp/fc) and the number of DM stages is presented. It is shown that like PCM, MSDM exchanges s/n with (fp/fc) on an exponential basis.
0005-8580
347-362
Steele, R.
7035a3e5-8a4c-434b-a105-46fe2d63d5c3
Steele, R.
7035a3e5-8a4c-434b-a105-46fe2d63d5c3

Steele, R. (1982) Peak signal-to-noise ratio formulas for multi-stage delta modulation with RC-shaped Gaussian input signals. Bell System Technical Journal, 61 (3), 347-362.

Record type: Article

Abstract

A multistage delta modulation (MSDM) encoder contains a number of delta modulation (DM) stages, where each delta modulator encodes the band‐limited error of the previous delta modulator. The DM binary outputs are then multiplexed for transmission. By this technique, substantial gains in s/n compared to a single‐stage DM can be achieved at high transmitted bit rate to message bandwidth ratios (fp/fc). For Gaussian input signals having band‐limited resistance‐capacitance (rc) spectra, the peak s/n performance of MSDM as a function of (fp/fc) and the number of DM stages is presented. It is shown that like PCM, MSDM exchanges s/n with (fp/fc) on an exponential basis.

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More information

Published date: March 1982
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 253321
URI: https://eprints.soton.ac.uk/id/eprint/253321
ISSN: 0005-8580
PURE UUID: 3e954c64-f15e-47fd-8eaf-83832c6390d4

Catalogue record

Date deposited: 16 May 2000
Last modified: 12 Nov 2018 17:31

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