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DSP56300 датащи(PDF) 22 Page - Freescale Semiconductor, Inc |
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DSP56300 датащи(HTML) 22 Page - Freescale Semiconductor, Inc |
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22 / 108 page ![]() 2-8 Viterbi Decoder Implementation The Viterbi Algorithm Viterbi Decoder Figure 2-4 Using Multiple Input Paths to Collapse the State Tree To find out how to choose the correct input branch for each state, we use the additivity of the path metrics. Suppose we want to find the path with the largest metric that extends from time i to time k (i<k). Also, suppose we are interested in another time j such that i<j<k. For a given state (encoder state) S at time j, consider two paths P1 and P2, extending from time i to time j, both entering state S at time j. To get from state S at time j to time k, consider two more paths Q1 and Q2. Our setup so far is illustrated in Figure 2-5 . Let the path metric for P1 up to time j be PM1, and let the path metric for P2 up to time j be PM2. Define QM1 and QM2 to be the partial path metrics for their respective paths. By partial path metrics we mean the contribution due to the partial path only, that is, QM1 is the path metric for path Q1 minus the value of the path metric of state S at time j. Finally, assume that PM1>PM2. Then any path containing P2 cannot be the path with largest path metric for any time after time j. 00000 0 00001 0 00000 10000 1 00001 1 00000 00 11 11 00 00000 10000 00000 00001 00 11 11 00 Freescale Semiconductor, Inc. For More Information On This Product, Go to: www.freescale.com |
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