Channel Coding Techniques for Wireless Communications by K. Deergha Rao

Author:K. Deergha Rao
Language: eng
Format: epub, pdf
ISBN: 9789811505614
Publisher: Springer Singapore

6.4 Performance Analysis of the Turbo Codes

6.4.1 Upper Bound for the Turbo Codes in AWGN Channel

Assuming that the transmitted data symbols are BPSK modulated which are coherently demodulated at the receiver, bit error probability bounds for turbo codes on AWGN channels can be upper bounded by the union bound [8, 9]

(6.24)

where is the number of codeword of input weight w and the total weight d. The code’s block size is given by the number of information bits N and the code rate R. Ignoring the effect of the tail (assuming that the tail length N), we can use our usual definition of N as being the length of the whole source sequence, including the tail. Thus, changing the order of summation:

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