# Is Phase Shift Keying Optimal for Channels with Phase-Quantized Output?

arXiv: https://arxiv.org/abs/2101.09896 · HTML: https://mlsanity.com/paper/2101.09896/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Jan 2021.

## Built on by (most cited first, 1 of 1)

- [On the Capacity-Achieving Input of the Gaussian Channel with Polar Quantization](https://mlsanity.com/paper/2205.05850/) (2022)

## Abstract (arXiv)

This paper establishes the capacity of additive white Gaussian noise (AWGN) channels with phase-quantized output. We show that a rotated 2b-phase shift keying scheme is the capacity-achieving input distribution for a complex AWGN channel with b-bit phase quantization. The result is then used to establish the expression for the channel capacity as a function of average power constraint P and quantization bits b. The outage performance of phase-quantized system is also investigated for the case of Rayleigh fading when the channel state information (CSI) is only known at the receiver. Our findings suggest the existence of a threshold in the rate R, above which the outage exponent of the outage probability changes abruptly. In fact, this threshold effect in the outage exponent causes 2b-PSK to have suboptimal outage performance at high SNR.