Higher Rank Principal Kronecker Model for Triply Selective Fading Channels with Experimental Validation


This paper proposes a higher rank principal Kronecker model (PKM) for simulating triply selective fading channels. To construct the PKM, the channel correlation matrices are decomposed using the higher order singular value decomposition (HOSVD) method. The proposed PKM-HOSVD model improves upon the original Kronecker model by using higher rank approximation of the channel correlation matrices rather than the rank-1 approximation. The proposed PKM-HOSVD model was validated by extensive field experiments conducted for 4 x 4 multiple-input-multiple-output (MIMO) systems in both indoor and outdoor environments. The carrier frequencies used included 800 MHz, 2.2 GHz, and 5.2 GHz. The channel correlation matrices calculated from the measured channel coefficients were then decomposed via the proposed PKM-HOSVD method. The quality of the decomposition was evaluated by not only the mean square error but also the correlation matrix distance. These results indicate that many practical channels must use higher rank approximation rather than the commonly used rank-1 approximation (or the Kermoal method) to achieve satisfactory decomposition accuracy. In addition, the predicted channel capacity by the proposed channel simulation model achieves better accuracy than the original rank-1 channel simulation model.


Electrical and Computer Engineering


United States. Office of Naval Research


This work was supported by the Office of Naval Research through Project DURIP N00014-12-1-0022 and Project N00014-09-1-0011

Keywords and Phrases

Codes (symbols); Fading channels; Feedback control; Mean square error; MIMO systems; Singular value decomposition; Telecommunication repeaters; Channel simulation; Correlation matrix distances; Higher order singular value decomposition; Kronecker models; Communication channels (information theory); Fading channel simulation model; Higher order singular value decomposition (HOSVD); Multiple-input multiple-output (MIMO) channels; Principal Kronecker model (PKM)

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Article - Journal

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© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 May 2015