Probability-of-Error Considerations for Certain M-ary Block Codes with Bit-by-Bit Decisions.
NAVAL RESEARCH LAB WASHINGTON D C
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A communication system, which transmits letters from an M-ary source alphabet through an additive white Gaussian noise channel, is considered. The source letters are encoded for transmission using an M-ary block code. Code words are transmitted bit by bit through the channel. The receiver makes hard bit decisions on the received signals, performs, a correlation operation to determine the likeliest transmitted code word and then decodes this word to yield a received letter. Two types of M-ary block codes are considered. For each type the authors attempt to derive the probability P sub eB of a block error, given various values of M number of block, N bits per block or block length, and P sub eb the probability of a bit error. The analysis points out the need for investigation of a special-purpose statistical device in order that P sub eB can be determined for large values of M and N. Author