信道编码是通信系统的关键技术之一,其传统的理论工具是代数和有限域GF(p).本文在有噪信道的信道编码数学模型基础上,介绍基于调和分析的新型信道编码理论,分别应用调和分析的重要工具压缩感知与Walsh-Hadamard变换实现信道编解码和信道编码盲识别.本文综述基于调和分析的信道编码的一些基本结果并介绍最新进展,主要包括:Gilbert-Varshamov界、l1解码、RIP(restricted isometry property)条件和Walsh-Hadamard变换等. Channel coding is one of the key technologies of communication system, and its traditional theoretical tools are algebra and finite field GF (p) .On the basis of channel coding mathematical model of noisy channel, this paper introduces a new channel coding theory based on harmonic analysis The key tools of harmonic analysis are compressed sensing and Walsh-Hadamard transform to realize channel coding and decoding and blind identification of channel coding.This paper reviews some basic results of channel coding based on harmonic analysis and introduces the latest progress, including: Gilbert-Varshamov bound, l1 decoding , A restricted isometry property (RIP) condition and a Walsh-Hadamard transform.