Abstract
We analytically derive the upper bound for the bit error rate (BER) performance of a single user multiple input multiple output code division multiple access (MIMO-CDMA) system employing parity-bit-selected spreading in slowly varying, flat Rayleigh fading. The analysis is done for spatially uncorrelated links. The analysis presented demonstrates that parity-bit-selected spreading provides an asymptotic gain of10log(Nt)dB over conventional MIMO-CDMA when the receiver has perfect channel estimates. This analytical result concurs with previous works where the (BER) is determined by simulation methods and provides insight into why the different techniques provide improvement over conventional MIMO-CDMA systems.
Highlights
The object of much research in wireless communications is to enable users to transmit and receive at high and variable data rates to support the growing number of applications that involve such transfer of data [1]
We provide, for the first time, an analytical expression for the upper bound of the bit error rate (BER) for a MIMOCDMA system employing parity-bit-selected or permutation spreading
We derived an analytical expression for the BER of a single user Multiple Input Multiple Output (MIMO)-Code Division Multiple Access (CDMA) system employing the paritybit-selected spreading technique in frequency nonselective Rayleigh fading under the assumptions of independently fading links and known channel gains
Summary
The object of much research in wireless communications is to enable users to transmit and receive at high and variable data rates to support the growing number of applications that involve such transfer of data [1]. Recent research has shown that combining DS-CDMA systems with Multiple Input Multiple Output (MIMO) techniques can achieve high gains in capacity, reliability and data transmission speed [9,10,11,12,13,14] This is achieved by exploiting the spatial diversity made possible by multiple antennas at the transmitter and the receiver, allowing more degrees of freedom when the complex channel gains between different transmit and receive antenna pairs are sufficiently uncorrelated. Compared to a conventional MIMO-CDMA system, which assigns a unique spreading waveform from a set of mutually orthogonal waveforms to each antenna, the MIMO-CDMA system employing either parity-bit-selected or permutation spreading provides significant power gains. This is demonstrated in [16] through the use of Monte Carlo simulations. We provide, for the first time, an analytical expression for the upper bound of the BER for a MIMOCDMA system employing parity-bit-selected or permutation spreading
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