Research Initiation: Coding for Noisy Modulation Channels

在现代传输和记录通道中，经常需要将数据映射到具有特殊属性的序列上。这些特性由各种实际方面决定，例如自时钟、对码间干扰的限制以及带宽限制。由于大多数信道都有噪声，因此传输的数据也应该具有纠错能力。用于噪声调制信道的经典编码方案基于使用两个独立设计的码：一个用于纠错，另一个用于调制。尽管这两个码就它们各自的目标而言可能是最优的，但当在信道上使用时，组合码可能远不是最优的。本研究研究了调制和纠错特性之间的关系，这将使人们能够彼此不可分割地查看这两个特性。然后，将开发专门为噪声调制信道设计的高效码。

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.