On the performance of the Viterbi equalizer in the presence of channel estimation errors

Abstract

Maximum-likelihood sequence estimation is often used to recover digital signals transmitted over finite memory convolutive channels when an estimate of the channel is available. In this letter, we study the impact of channel estimation errors on the quality of sequence detection. The general case of single input multiple output (SIMO) channels is considered. An asymptotic upper bound for the symbol error rate is presented, which allows us to treat channel estimation errors as equivalent to losses in signal-to-noise ratio (SNR). This relationship is studied and numerically validated for the standard least squares channel estimate.

On the impact of using unreliable data on the bootstrap channel estimation performance

“…For this purpose we consider a Viterbi equalizer. In [6], Gorokhov studied the signal-to-noise (SNR) degradation due to channel estimation errors. Under certain (realistic) conditions, which are assumed to be met here, the SNR loss can be expressed through the following relation:…”

Joint training interval length and power allocation optimization for MIMO flat fading channels

“…Hence, we suppose that there exists an interval of size m q such that all the symbols of x (q) are different from the corresponding symbols of x (q) while the preceding and the following symbols are the same for x (q) and x (q) . Let x Using the assumptions given in [7], we obtain that H m ( h)e m → ε m (1 + ξ T 0 ) where ξ T 0 tends in probability…”

Receiver diversity with blind fir SIMO channel estimates

“…the symbol rate, the Rx dimension would get multiplied by the oversampling factor. 3 In this paper, . * , .…”

“…However, practical receivers must estimate the channel, thereby incurring estimation error that needs to be accounted for in the performance analysis. In [3] the effect of channel estimation error on the performance of the viterbi equalizer is studied in the SIMO framework. In [4] the bit-error rate (BER) performance of multilevel quadrature amplitude modulation with pilot-symbol-assisted modulation channel estimation in static and Rayleigh fading channels is derived, both for single branch reception and maximal ratio combining diversity receiver systems.…”