Limiting behavior of ZF/MMSE linear equalizers in wideband channels with frequency selective fading

Kuchi, K (2012) Limiting behavior of ZF/MMSE linear equalizers in wideband channels with frequency selective fading. IEEE Communications Letters, 16 (6). pp. 929-932. ISSN 1089-7798

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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 zero-forcing (ZF) LE employing N r receiver antennas (where N r > 1), achieves a fixed signal-to-noise-power-ratio (SNR) of N r-1/N o in an i.i.d. Rayleigh fading channel with infinite number of taps. The LE sacrifices one degree-of-freedom (DOF) for mitigating the multi-path fading channel and leaves remaining N r-1 DOF for array gain. The maximum performance loss with respect to the matched filter bound (MFB) is shown to be 10 log(N r-1/N r) which becomes small in systems with large antenna arrays. Next, simulation is used to compare the performance of minimum-mean-square-error 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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IITH Creators:
IITH CreatorsORCiD
Kuchi, KUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Array gain; DFT-precoded-OFDMA; Equalization; Infinite numbers; Limiting behavior; Linear equalizer; Matched filter bounds; Minimum mean square errors; MMSE; Multi-path fading channels; Multiple antenna systems; Near optimality; Performance loss; Receiver antennas; SC-FDMA; Wideband channel; Zero-forcing
Subjects: Physics > Electricity and electronics
Divisions: Department of Electrical Engineering
Depositing User: Team Library
Date Deposited: 13 Nov 2014 09:51
Last Modified: 12 Jun 2015 08:40
URI: http://raiith.iith.ac.in/id/eprint/757
Publisher URL: http://dx.doi.org/10.1109/LCOMM.2012.041112.120299
OA policy: http://www.sherpa.ac.uk/romeo/issn/1089-7798/
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