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FORWARD ERROR CORRECTION (FEC) CODING IN THE GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS (GSM)
Dai, Shuai (Jason)
Sun, Chang (Fred)
Zhuang, Fuxin (Henry)
March 17, 2011
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STAGES OF CHANNEL CODING
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BLOCK CODING FOR LOGICAL CHANNELS
Channel Generating Polynomial Notes
TCH/FS X3 + X + 1 Cyclic Code (Pe =10-6 ~ 10-5)
DCCH and CCCH (part)
(X23 + 1)(X17 + X3 + 1) Fire Code (probability of undetected error only 2-40)
RACH X6 + X5 + X3 + X2 + X +1 P0(8)+parity(6)+tail(4)=P1(18)
SCH X10 + X8 + X6 + X5 + X4 + X2 + X +1 P0(25)+parity(10)+tail(4)=P1(39)
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CONVOLUTIONAL CODING• Block coding has supplemented the data with redundancy bits (parity bits) for error detection• Convolutional coding is to calculate additional redundancy for error correction• A convolutional code is described by three integers:, v, k and K.• Code rate = k/v; in GSM: rGSM=1/vGSM=1/2;
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INTERLEAVING
Errors tend to occur in bursts. Distributing errors evenly in time improve the
efficiency of error detection and correction.
Interleaving Depth:the number of bursts over which a codeword is spread.
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Reference: GSM : architecture, protocols and services / Jörg Eberspächer ... [et al.] 3rd edition Wiley, 2009