Expressions for Gallager's Random Coding Error Exponent (RCEE) and the corresponding Expurgated Error Exponent (EEE) are derived in a unifying framework, as functions only of the squared singular values of the channel matrix. The results encompass spatially Kronecker-correlated Rayleigh channels (whose error exponents expressions are already present in the literature), line of sight MIMO systems, multiple-scattering channels, multi-hop amplify and forward MIMO channels with non-noisy relays and noisy destination. As an instance of application of our framework, we consider a multiple-scattering Rayleigh MIMO channels, with an arbitrary but finite number of scattering stages and channel state information (CSI) available at the receiver only. In this scenario, we evaluate closed-form expressions for both RCEE and EEE in terms of Meijer's G functions.

A unifying analysis of error exponents for MIMO channels with application to multiple-scattering / Alfano, Giuseppa; Chiasserini, Carla Fabiana; Nordio, Alessandro; Zhou, Siyuan. - STAMPA. - (2015), pp. 321-325. (Intervento presentato al convegno 2015 IEEE International Symposium on Wireless Communication Systems (ISWCS) tenutosi a Brussels (Belgium) nel August 2015) [10.1109/ISWCS.2015.7454355].

A unifying analysis of error exponents for MIMO channels with application to multiple-scattering

ALFANO, GIUSEPPA;CHIASSERINI, Carla Fabiana;NORDIO, ALESSANDRO;ZHOU, SIYUAN
2015

Abstract

Expressions for Gallager's Random Coding Error Exponent (RCEE) and the corresponding Expurgated Error Exponent (EEE) are derived in a unifying framework, as functions only of the squared singular values of the channel matrix. The results encompass spatially Kronecker-correlated Rayleigh channels (whose error exponents expressions are already present in the literature), line of sight MIMO systems, multiple-scattering channels, multi-hop amplify and forward MIMO channels with non-noisy relays and noisy destination. As an instance of application of our framework, we consider a multiple-scattering Rayleigh MIMO channels, with an arbitrary but finite number of scattering stages and channel state information (CSI) available at the receiver only. In this scenario, we evaluate closed-form expressions for both RCEE and EEE in terms of Meijer's G functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2610358
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