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Gallager codes for CDMA applications .I. Generalizations, constructions, and performance bounds

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3 Author(s)
Sorokine, V. ; Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada ; Kschischang, F.R. ; Pasupathy, S.

We focus on applications of low-rate Gallager (1963) (low-density parity-check) codes in code-division multiple-access schemes. The codes that we present here achieve good performance with relatively short frame-lengths in additive white Gaussian noise channels and, perhaps more importantly, in fading channels. These codes can be decoded with low complexity by using iterative decoding procedures. We present a construction that yields good short frame-length Gallager codes. Bounds on the frame-error probability for a maximum-likelihood decoder are obtained.

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Communications, IEEE Transactions on  (Volume:48 ,  Issue: 10 )