By Savo G Glisic
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Additional info for Advanced wireless communications : 4G technologies
There are 2k0 edges entering each state and 2k0 edges leaving each state. The labels on each edge are sequences of length n0 . 17 respectively. An appropriate measure of the maximum likelihood decoder complexity for a convolutional code is the number of visited edges per decoded bit. Now, a rate k0 /n 0 code has 2k0 edges leaving and entering each trellis state and a number of states Nσ = 2ν , where ν is the memory of the encoder. Thus, each trellis section, corresponding to k0 input bits, has a total number of edges equal to 2k0 +ν .
36) m = 1, . . 34) can be represented as: π(0) 2k = 0 .. 30 Block diagram of the iterative decoding scheme for binary convolutional codes. 31 Block diagrams of the encoder and iterative decoder for serially concatenated convolutional codes. 40) and the MAP decision is made according to the sign of λk . 39) are available in standard literature [102–112], the most relevant being the original work by Berrou . These iterations contain implicitly the trellis constraints imposed by the trellis structure.
14) k=1 This relation has the form of convolution, hence the name convolutional coding. 15, is used. 13 Encoder for the (2, 1, 4) convolutional code. 14 Encoder for the (3, 2, 2) convolutional code. 15 State diagram for the (3, 1, 3) convolutional code. 9, has memory ν = N − 1 = 2. We deﬁne the state σl of the encoder at discrete time l as the content of its memory at the same time, ˆ (u l−1 , u l−2 ). There are Nσ = 2ν = 4 possible states. That is, 00, 01, 10 and 11. 16 Trellis diagram for the (3, 1, 3) convolutional code.
Advanced wireless communications : 4G technologies by Savo G Glisic