Direction-of-Arrival Estimation Based on Quantized Matrix Recovery
Xiaodong Huang, Suzhi Bi, Bin Yih Liao · IEEE Communications Letters · 2019
Usually, the problem of direction-of-arrival (DOA) estimation in antenna array systems assumes that the measurement quantization has infinite resolution or the quantization error is insignificant and thus can be simply absorbed into the noise. However, in modern systems such as large-scale antenna arrays, low-resolution analog-to-digital converter (ADC) has been widely reported to reduce the hardware cost and circuit power consumption. Hence, the quantization should be seriously treated to ensure satisfactory DOA estimation performance. To this end, we propose to formulate a constrained maximum likelihood optimization problem to recover the noiseless array measurement matrix, which is low-rank, from quantized noisy measurements. On this basis, we apply traditional subspace-based approaches to determine the DOAs. Numerical examples are carried out to illustrate the effectiveness of the proposed method.