Abstract
We investigate the performance of coded diversity systems employing generalized selection combining (GSC) over Nakagami fading channels. In particular, we derive a numerical evaluation method for the cutoff rate of the GSC systems. In addition, we derive a new union bound on the bit-error probability based on the code's transfer function. The proposed bound is general to any coding scheme with a known weight distribution such as convolutional and trellis codes. Results show that the new bound is tight to simulation results for wide ranges of diversity order, Nakagami fading parameter, and signal-to-noise ratio (SNR).
Highlights
Diversity is an effective method to mitigate multipath fading in wireless communication systems
The most general diversity combining scheme is the generalized selection combining (GSC), which provides a tradeoff between the high complexity of maximal-ratio combining (MRC) and the poor performance of selection combining (SC)
Where fa2 (x) and Fa2 (x) are, respectively, the probability density function and cumulative distribution function (CDF) of the signal-to-noise ratio (SNR) of each diversity branch, and φa2 (d, x) is the marginal moment generating function (MGF) [8] defined as φa2 (d, x) = e−dt fa2 (t)dt
Summary
Diversity is an effective method to mitigate multipath fading in wireless communication systems. The error probability and the cutoff rate of GSC over Rayleigh fading channels was analyzed in [2, 3], respectively. In [7], the cutoff rate and a union bound on the bit-error probability of coded SC systems over Nakagami fading channels were derived. To the best of our knowledge, no analytical results on the performance of coded GSC systems over Nakagami fading channels exit yet. We generalize this approach to derive the cutoff rate and a union bound on the bit-error probability of coded GSC over Nakagami fading channels.
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