2013/11/25 by Tadilo Endeshaw Bogale, Bogale, Tadilo Endeshaw, Luc Vandendorpe +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #Cooperative Communication and Network Coding #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1311.6433
openalex publication_date 2013/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper considers linear minimum meansquare- error (MMSE) transceiver\ndesign problems for downlink multiuser multiple-input multiple-output (MIMO)\nsystems where imperfect channel state information is available at the base\nstation (BS) and mobile stations (MSs). We examine robust sum mean-square-error\n(MSE) minimization problems. The problems are examined for the generalized\nscenario where the power constraint is per BS, per BS antenna, per user or per\nsymbol, and the noise vector of each MS is a zero-mean circularly symmetric\ncomplex Gaussian random variable with arbitrary covariance matrix. For each of\nthese problems, we propose a novel duality based iterative solution. Each of\nthese problems is solved as follows. First, we establish a novel sum average\nmeansquare- error (AMSE) duality. Second, we formulate the power allocation\npart of the problem in the downlink channel as a Geometric Program (GP). Third,\nusing the duality result and the solution of GP, we utilize alternating\noptimization technique to solve the original downlink problem. To solve robust\nsum MSE minimization constrained with per BS antenna and per BS power problems,\nwe have established novel downlink-uplink duality. On the other hand, to solve\nrobust sum MSE minimization constrained with per user and per symbol power\nproblems, we have established novel downlink-interference duality. For the\ntotal BS power constrained robust sum MSE minimization problem, the current\nduality is established by modifying the constraint function of the dual uplink\nchannel problem. And, for the robust sum MSE minimization with per BS antenna\nand per user (symbol) power constraint problems, our duality are established by\nformulating the noise covariance matrices of the uplink and interference\nchannels as fixed point functions, respectively.\n