ADC Resolutions of MIMO Systems in Structured Code Schemes on a Discrete Memoryless Symmetric Channel Environment

Ultra-wideband mobile communication systems that support hundreds of Gbps data rates require the use of very large bandwidths. To implement such an ultra-wideband communication system, a high-speed ADC is essential. Ultra-wideband (UWB) ADCs have been studied for many years to use very low resolution ADCs to reduce circuit complexity and power consumption. From the viewpoint of encoding theory, we try to solve the problem of low resolution ADC use. The compute-and-forward framework, which has been studied in the field of network information theory recently, uses a technique that allows the receiver to decode a linear combination of transmission messages. In this paper, we analyze the achievable channel capacity of a MIMO system that achieves diversity and multiplexing gain in a low resolution ADC environment using this structured code theory. In particular, the relationship between this achievable channel capacity and the quantization level q. The results of this paper are expected to be used as a theoretical basis for the development of UWB communication systems for high- capacity transmission system applications.