Research Initiation: Coding for Noisy Modulation Channels

在现代传输和记录信道中，通常需要将数据映射到具有特殊属性的序列上。这些特性是由各种实际方面决定的，如自时钟、对码间干扰的限制和带宽限制。由于大多数信道存在噪声，因此传输的数据也应具有纠错能力。噪声调制信道的经典编码方案是基于使用两个独立设计的编码：一个用于纠错，另一个用于调制。尽管这两种代码就其各自的目标而言可能是最优的，但在信道上使用时，组合代码可能远非最优。研究了调制特性和纠错特性之间的关系，使这两种特性之间的关系变得不可分割。专门为有噪声的调制信道设计的高效编码将会被开发出来。

In modern transmission and recording channels, it is often required to map the data onto a sequence with special properties. These properties are dictated by various practical aspects such as self-clocking, limitations on the intersymbol interference, and bandwidth constraints. Since most channels are noisy, the transmitted data should have error correction capability as well. The classical coding schemes for noisy modulation channels are based on using two independently designed codes: one for error correction and the other for modulation. Although these two codes may be optimal with regard to their respective goals, the combined code may be far from optimal when used over the channel. The research studies the relation between modulation and error correction properties which will enable viewing these two properties inseparably from each other. Efficient codes designed specifically for noisy modulation channels then will be developed.