RIA: Bandwidth and Energy Efficient Communication Via Ring Encoded Continuous Phase Modulation

该项目考虑了减少 M进制连续相位调制（CPM）误差概率 通过信道编码的方案。 有人认为，通常 涉及外部二进制卷积编码器技术 不自然，并且它只利用了编码增益的一部分。 这 该项目是基于一个新的解决方案，旨在获得更大的 编码增益相同的解码复杂度。 该方法通过 M元卷积信道编码器（CE）的装置， 使用它们所提供的CPM方案的状态信息。 的 使用这种方法的能力在于CPM模型， 由表示为连续相位的线性时序电路组成 编码器（CPE）后接无记忆调制器（MM）。 以来 CPE是M进制的，可以反馈其存储单元的内容 并在CE中显式使用它，CE也是M进制和线性的 在模M整数环上 因此，行政长官有自己的 存储器单元以及与CPE共享的那些。 这种共生 增加CE的约束长度，而不增加 国家总数。 这些代码比 在不增加解码的情况下获得通常的结果 复杂性 此外，该解决方案不限于CPM 输入字母表的大小M是2的幂的方案。 的 对环码的研究本身也很有意义。 最近各种 结果清楚地表明，环码和群码 对于非二进制调制方案非常重要。

This project considers the problem of decreasing the probability of error of M-ary continuous-phase modulation (CPM) schemes by means of channel coding. It is argued that the usual technique involving an external binary convolutional encoder is unnatural, and it exploits only part of the coding gain. This project is based on a new solution, which aims to obtain a larger coding gain for the same decoding complexity. The method is by means of M-ary convolutional channel encoders (CE) that explicitly use the state information of the CPM scheme that they feed. The ability to use this method lies in the model for CPM, which consists of a linear sequential circuit denoted continuous-phase encoder (CPE) followed by a memoryless modulator (MM). Since the CPE is M-ary, one can feed-back the content of its memory units and use it explicitly in the CE which is also M-ary and linear over the ring of integers modulo M. Thus the CE has its own memory units and those shared with the CPE. This symbiosis increases the constraint length of the CE without increasing the overall number of states. Codes that are more powerful than the usual ones are obtained without increasing the decoding complexity. Moreover, this solution is not constrained to CPM schemes whose input alphabet's size M is a power of 2. The research on ring codes is of interest in its own. Various recent results are a clear indication that ring and group codes are of great importance for nonbinary modulation schemes.