A Novel Method for Millimetre-Wave Channel Estimation for 1-bit Quantized Receivers using Low-Rank Matrix Constraints

Analog-to-digital converters (ADCs) for millimetre-wave (mmWave) systems have to operate at a very high sampling rate due to the high bandwidth involved. This leads to huge power consumption. One way to reduce the power consumption is to design low resolution ADCs - 1-bit ADCs in the extreme case. However, channel estimation in such receivers is a challenging task due to the non-linearity introduced. Previous estimation methods utilised the low-rank property of mmWave channels. This paper proposes two methods which use additional constraints of entry-wise infinity norm and angular sparsity which improves the normalised mean square error of the channel estimates, by upto 4.5 dB, for a range of signal-to-noise ratio values and various antenna configurations.