PROJECT TITLE :

Limiting Behavior of ZF/MMSE Linear Equalizers in Wideband Channels with Frequency Selective Fading

ABSTRACT:

This letter establishes the near optimality of the linear equalizers (LEs) in multiple antenna systems with frequency selective fading. Initial, we show that a zero-forcing (ZF) LE employing N_r receiver antennas (where N_r>one), achieves a mounted signal-to-noise-power-ratio (SNR) of fracN_r-1N_0 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 most performance loss with respect to the matched filter certain (MFB) is shown to be 10log(fracN_r-1N_r) which becomes little in systems with massive antenna arrays. Next, simulation is employed to match the performance of minimum-mean-square-error estimation (MMSE) and ZF receivers. It's shown that the MMSE based mostly LE provides a significant advantage over ZF LE solely for singleantenna systems and therefore the performance distinction between the 2 ways becomes arbitrarily tiny with an increase in the number of receiver antennas.


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