Gray mapping-based code design method for optimizing Trellis Coded Modulation (TCM) system
A trellis coded modulation and Gray mapping technology, applied in the field of digital signal processing data coding, can solve the problems of complex optimization pairing and limited optimization improvement.
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[0049] The encoding method in the present invention is applicable to TCM system design with different number of code rate states and different modulation orders. Different from the traditional coding method that allocates the constellation subset according to the state transition, the present invention allocates the state transition output based on the layout optimization of the Gray map constellation, and it is proved that effective coding gain can be achieved. image 3 Figure 4 Corresponding code rate R=2 / 3, with 4 states, adopts TCM system coding method of 8PSK modulation. Figure 5 Image 6 Corresponding code rate R = 3 / 4, with 8 states, using 16QAM modulation TCM system coding method, the improved coder design scheme further improves the coding gain of about 0.3dB under Gaussian channel compared with the existing scheme. by Figure 5 Image 6 The coding method is a specific example, and the specific implementation steps are described in detail:
[0050] (1) The pre...
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