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Single-User mmWave Massive MIMO: SVD-based ADC Bit Allocation and\n Combiner Design

2018/04/23 by I. Zakir Ahmed, Ahmed, I. Zakir, Hamid R. Sadjadpour +3
Engineering · #Advanced MIMO Systems Optimization #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Microwave Engineering and Waveguides #Millimeter-Wave Propagation and Modeling #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1804.08595

openalex publication_date 2018/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose a Singular-Value-Decomposition-based\nvariable-resolution Analog to Digital Converter (ADC) bit allocation design for\na single-user Millimeter wave massive Multiple-Input Multiple-Output receiver.\nWe derive the optimality condition for bit allocation under a power constraint.\nThis condition ensures optimal receiver performance in the Mean Squared Error\n(MSE) sense. We derive the MSE expression and show that it approaches the\nCramer-Rao Lower Bound (CRLB). The CRLB is seen to be a function of the analog\ncombiner, the digital combiner, and the bit allocation matrix. We attempt to\nminimize the CRLB with respect to the bit allocation matrix by making suitable\nassumptions regarding the structure of the combiners. In doing so, the bit\nallocation design reduces to a set of simple inequalities consisting of ADC\nbits, channel singular values and covariance of the quantization noise along\neach RF path. This results in a simple and computationally efficient bit\nallocation algorithm. Using simulations, we show that the MSE performance of\nour proposed bit allocation is very close to that of the Full Search (FS) bit\nallocation. We also show that the computational complexity of our proposed\nmethod has an order of magnitude improvement compared to FS and Genetic\nAlgorithm based bit allocation of citeZakir1\n

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