Generic Efficient FG-SPA Implementation Framework based on the best Linear Canonical Message Representation in MSE Sense

Konferenz: European Wireless 2013 - 19th European Wireless Conference
16.04.2013 - 18.04.2013 in Guildford, UK

Tagungsband: European Wireless 2013

Seiten: 6Sprache: EnglischTyp: PDF

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Prochazka, Pavel; Sykora, Jan (Czech Technical University in Prague, Czech Republic)

This paper focuses an implementing issue of the sum-product algorithm on factor graphs (FG-SPA) for a general system. The goal is to propose a message representation and corresponding update rules for both discretely and continuously valued variables with an acceptable exactness-complexity tradeoff that is applicable in a wide class of scenarios. We propose the update rules for a generic class of linear message representations with orthogonal canonical kernels. The proposed update rule design is combined with an already known message parameterization based on the Karhunen-Loeve Transform (KLT) of the message. This combination of the proposed generic update rules with the KLT-message representation forms a generic implementation framework of the FG-SPA applicable whenever the KLT is defined. This framework preserves the properties of the KLT-message representation that is the best linear approximation in the MSE sense. A particular example on a joint detection and phase estimation is shown to verify the proposed framework and to show its advantages against a conventional solution.