Capacity Bounds for One-Bit MIMO Gaussian Channels with Analog Combining

Abstract

The use of 1-bit analog-to-digital converters (ADCs) is seen as a promising approach to significantly reduce the power consumption and hardware cost of multiple-input multiple-output (MIMO) receivers.However, the nonlinear distortion due to 1-bit quantization fundamentally changes the optimal communication strategy and also imposes a capacity penalty to the system. In this paper, the capacity of a Gaussian MIMO channel in which the antenna outputs are processed by an analog linear combiner and then quantized by a set of zero threshold ADCs is studied. A new capacity upper bound for the zero threshold case is established that is tighter than the bounds available in the literature. In addition, we propose an achievability scheme which configures the analog combiner to create parallel Gaussian channels with phase quantization at the output. Under this class of analog combiners, an algorithm is presented that identifies the analog combiner and input distribution that maximize the achievable rate. Numerical results are provided showing that the rate of the achievability scheme is tight in the low signal-to-noise ratio (SNR) regime. Finally, a new 1-bit MIMO receiver architecture which employs analog temporal and spatial processing is proposed.The proposed receiver attains the capacity in the high SNR regime.

Enhanced Signal Detection and Constellation Design for Massive SIMO Communications With 1-Bit ADCs

“…Numerous studies have been devoted to study merging the low-resolution and 1-bit ADCs with the communication systems [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28]. The system performance analysis is considered in [7], [8], [9], and [10].…”

“…Moreover, the mm-wave MIMO channel capacity is analyzed in [14] for the high signal-to-noise ratio (SNR) regime utilizing 1-bit ADCs at the BS. Recently, a tight upper bound on the capacity of MIMO systems with 1-bit ADCs is introduced in [15] assuming AWGN channels. For systems with 1-bit ADCs, the channel estimation is explored in [16], [17], and [18]; for systems with few-bit ADCs, it is studied in [19] and [20].…”