Abstract

By using radius of decision region, an approximate formula to estimate word error rate (WER) of Turbo-like codes is proposed. The approximate formula is simply expressed in the form of Gaussian Q function, which consists of signal to noise ratio (SNR), mathematical expectation and variance of squared radii in decision region, etc. In addition, the approximate expression can be easily extended to fading channels with negligible error of WER. Simulation results show that the deviation between the proposed formula and Monte Carlo simulation is no more than 1dB over fading channels.

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