Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

A fast multi-level GFSK matched filter receiver

Tibenderana, C. and Weiss, S. (2004) A fast multi-level GFSK matched filter receiver. In: 6th International Conference on Mathematics in Signal Processing, 2004-12-14 - 2004-12-16.

[img]
Preview
PDF
tibenderana04d.pdf
Accepted Author Manuscript

Download (343kB) | Preview

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.