An approximate formula for WER of turbo-like codes and its application

By using radius of decision region, an approximate formula for word error rate (WER) of Turbo-like codes is presented in [1]. The approximate formula has a simple form of Gaussian Q-function with multiple arguments including the signal to noise ratio (SNR), the code length, and two parameters determined by the code structure and the decoding algorithm. This formula makes it possible to theoretically analyze the performance of turbo-like codes over fading channels. In this paper, we apply the formula to evaluate the WER of LDPC code over block fading channels. Simulation results show that the theoretical analysis matches well with the Monte Carlo simulation for both Rician and Nakagami-m fading channels.