I. Introduction
One of the application scenarios of ground penetrating wireless communication is coal mine disaster relief communication [1], such as refuge tunnels. When a rescue is carried out after a mine accident, Ground-penetrating wireless communication technology will be used. Due to the need for signals to penetrate geological layers for transmission, there are problems such as narrow transmission channels, low signal-to-noise ratio, and short transmission distances [2]. Therefore, Matlab voice signals is of great significance. Hong-Yu Z et al. proposed a compression coding scheme based on incremental modulation, which is mainly applicable to high-frequency speech signals [3]. Zhao Hongyu et al. proposed a compression coding scheme based on fuzzy delta modulation algorithm [4]. Other scholars have also proposed various compression encoding schemes. The above compression encoding methods are mainly based on the traditional Nyquist Sampling Theorem, which optimizes the encoding scheme to achieve data compression, but the compression ability is limited. The basic idea of compressive sensing (CS) theory is to reduce compression by reducing the sampling frequency of the original signal, so that the voice signal is transmitted and stored at a data volume lower than the Nyquist sampling rate. The sampling frequency is only related to the structure of the signal itself, providing a new method for voice compression coding schemes in ground penetrating wireless communication. On the basis of delta modulation, this design combines compressive sensing theory to establish a new compression coding scheme.