Kuchi, Kiran
(2012)
Limiting behavior of ZF/MMSE linear equalizers in wideband channels with frequency selective fading.
IEEE Communications Letters, 16 (6).
pp. 929932.
ISSN 10897798
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Abstract
This letter establishes the near optimality of the linear equalizers (LEs) in multiple antenna systems with frequency selective fading. First, we show that a zeroforcing (ZF) LE employing N r receiver antennas (where N r > 1), achieves a fixed signaltonoisepowerratio (SNR) of N r1/N o in an i.i.d. Rayleigh fading channel with infinite number of taps. The LE sacrifices one degreeoffreedom (DOF) for mitigating the multipath fading channel and leaves remaining N r1 DOF for array gain. The maximum performance loss with respect to the matched filter bound (MFB) is shown to be 10 log(N r1/N r) which becomes small in systems with large antenna arrays. Next, simulation is used to compare the performance of minimummeansquareerror estimation (MMSE) and ZF receivers. It is shown that the MMSE based LE provides a significant advantage over ZF LE only for singleantenna systems and the performance difference between the two methods becomes arbitrarily small with an increase in the number of receiver antennas
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