Analysis of Performance Degradation using Convex Optimization for a Mismatched Receiver
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| Title | Analysis of Performance Degradation using Convex Optimization for a Mismatched Receiver |
| Authors | |
| Abstract | Consider a binary baseband vector-valued communication channel modeled by a zero-mean CGN vector N with a non-singular covariance matrix Λ. We study the maximum loss of system performance using the metric of a decrease of PD for a fixed PFA. Under H0, the observed vector is given by x = n, while under H1, x = s + n. The optimum receiver compares the statistic xTΛ-1s to a threshold γ determined by PFA. However, the suboptimum mismatched receiver assumes a WGN with a statistic given by xTs, with its PsubD satisfying PsubD ≤ Q(Q-1 (PFA) – SQRT(STΛ-1s))=PoptD, which is equal to ||s||4≤(sTΛs)(sTΛ-1s) , and is satisfied by Schwarz Inequality. For a given Λ, the solution for finding the maximum degraded (i.e., smallest) PsubD is equivalent to finding the signal vector s that attains the maxium of (sTΛs)(sTΛ-1s), which uses the convex optimization method based on the Karush-Kuhn-Tucker conditions. The mismatched system performance degradation is formulated as a margin loss in SNR(dB) useful for robust communication system engineering analysis and design. Some explicit examples illustrating the margin loss are given. |
| Publisher | ACADEMY PUBLISHER |
| Date | 2010-06-01 |
| Source | Journal of Communications Vol 5, No 6 (2010): Special Issue: Efficient and Robust Signal Processing Schemes for Wireless Rece |
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