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Performance bounds for trellis-coded modulation on time-dispersive channels

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4 Author(s)
Carlisle, C.J. ; Telecom Corp. of New Zealand Ltd., Wellington, New Zealand ; Taylor, D.P. ; Shafi, M. ; Kennedy, W.K.

The performance of trellis-coded modulation (TCM) on additive white Gaussian noise channels is well understood, and tight analytical bounds exist on the probability of the Viterbi decoder making a decision error. When a channel is also time-dispersive, the performance of TCM systems has been studied mainly by simulation. However, simulation is limited to symbol error probabilities greater than 10-6 and is not a particularly useful tool for designing codes. Tight analytical bounds on the error probability of TCM on time-dispersive channels are required for a more thorough study of performance. Moreover, the design of good codes and optimum metrics for time-dispersive channels requires tight analytical bounds. In this paper we derive analytical upper bounds, which, although requiring numerical techniques for tractable evaluation, are tight for a wide range of time-dispersive channel conditions. The bounds are based on a union bound of error events that leads to a summation of pairwise error probabilities, which are themselves upper bounded

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Communications, IEEE Transactions on  (Volume:42 ,  Issue: 8 )