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A Fast Multi-Level GFSK Matched Filter Receiver

A Fast Multi-Level GFSK Matched Filter Receiver
A Fast Multi-Level GFSK Matched Filter Receiver
Near optimal reception of a multilevel Gaussian frequency shift keying symbol can be achieved using a matched filter bank (MFB) receiver, which will require M(K+L-1) filters for M modulation levels, a K-symbol observation interval, and a Gaussian filter with an L-symbol support length. This is prohibitive for most applications for the large values of K necessary to ensure best performance. In this paper we present a recursive algorithm that eliminates redundancy in providing the matched filter outputs by use of a smaller set of 1-symbol long intermediate filters, followed by an iterative process to propagate phase gained over K successive single symbol stages. If exemplarily operated in a Bluetooth receiver, the computational cost can be reduced by two orders of magnitude. Additionally we demonstrate that the intermediate filter outputs provide a means to detect carrier frequency and modulation index offsets, which can be corrected by iteratively recomputing the coefficients of the intermediate filter bank.
Gaussian Frequency Shift Keying, GFSK, Matched Filter, Receiver, Multilevel, Viterbi
Tibenderana, Charles
e7fad1b1-d8aa-44d3-9421-77f74d4871cb
Weiss, Stephan
a89960cd-f869-4728-8f8e-c0b60f04f911
Tibenderana, Charles
e7fad1b1-d8aa-44d3-9421-77f74d4871cb
Weiss, Stephan
a89960cd-f869-4728-8f8e-c0b60f04f911

Tibenderana, Charles and Weiss, Stephan (2004) A Fast Multi-Level GFSK Matched Filter Receiver. Institute of Mathematics and its Applications Conference on Mathematics in Signal Processing.

Record type: Article

Abstract

Near optimal reception of a multilevel Gaussian frequency shift keying symbol can be achieved using a matched filter bank (MFB) receiver, which will require M(K+L-1) filters for M modulation levels, a K-symbol observation interval, and a Gaussian filter with an L-symbol support length. This is prohibitive for most applications for the large values of K necessary to ensure best performance. In this paper we present a recursive algorithm that eliminates redundancy in providing the matched filter outputs by use of a smaller set of 1-symbol long intermediate filters, followed by an iterative process to propagate phase gained over K successive single symbol stages. If exemplarily operated in a Bluetooth receiver, the computational cost can be reduced by two orders of magnitude. Additionally we demonstrate that the intermediate filter outputs provide a means to detect carrier frequency and modulation index offsets, which can be corrected by iteratively recomputing the coefficients of the intermediate filter bank.

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More information

Published date: December 2004
Keywords: Gaussian Frequency Shift Keying, GFSK, Matched Filter, Receiver, Multilevel, Viterbi
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 260128
URI: http://eprints.soton.ac.uk/id/eprint/260128
PURE UUID: f79feb84-7981-4c39-be6f-2a04f7f4a757

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Date deposited: 23 Nov 2004
Last modified: 23 Sep 2020 16:35

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Contributors

Author: Charles Tibenderana
Author: Stephan Weiss

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