Computation and Analysis of Constrained Capacity of One-Bit Massive MIMO with CSIR

Abstract

The one-bit massive multi-input multi-output (MIMO) with receiving channel state information is considered in this letter. This letter focuses on the constrained capacity, i.e., the mutual information with given distribution of the source, computation with given modulation. The complexity analysis shows that the complexity of the constrained capacity computation based on the definition grows exponentially with the number of antennas at the base station. We reduce part of the computation by deriving the definition formulas, and propose the Monte-Carlo method to calculate the remaining part. With the efforts, we reduce the complexity down to polynomial. The numerical results show that the proposed method provides the estimation of the constrained capacity with small error if the number of Monte-Carlo tests is large enough. Analysis based on the numerical results is shown, which provides the system designer a basis for choosing modulation type and signal-to-noise ration level. The result also indicates that the degradation is only 2dB due to the coarse quantization of one-bit system at the main signal-to-noise ration region.