广义准正则格形码距离谱的计算

本文讨论了格形码距离谱的计算问题，定义了度量空间意义下的广义准正则格形码，对具有Ｉｍａｉ与Ｈｉｒａｋａｗａ［２］和Ｕｎｇｅｒｂｏｅｃｋ［３］定义的典型的时不变网格结构的广义准正则格形码，证明了其距离谱可用全零信息序列对应的码字进行计算。在理论上推广了Ｍ．Ｒｏｕａｎｃｅ与Ｄ．Ｊ．Ｃｏｓｔｅｌｏ的结果，解决了非平方欧几里德度量意义下一类ＴＣＭ信号序列的距离谱计算问题

Computation of The Distance Spectrum of Wide Sense Quasiregular Trellis Codes

In this paper, the computation problem of the distance spectrum of linear trellis codes is discussed. A class of wide sense quasiregular codes is defined under the means of measure space, for which having the time invariant trellis structures defined by Imai and Hirakawa and Ungerboeck , the distance spectrum can be calculated from the codeword corresponding to the all zero information sequence. Theoretically, the result is an expansion of M.Rouance and D.J.Costello's theorem. In particular, under the means of non squared Euclidean distance, the calculation problem of distance spectrum for a class of trellis coded modulation (TCM) signal sequence can be solved.