Capacity and IAPR Analysis for MIMO Faster-than-Nyquist Signaling with High Acceleration Rate

TL;DR

This paper analyzes the capacity, power, and SNR characteristics of MIMO Faster-than-Nyquist signaling at various acceleration factors, extending previous work to smaller factors and providing insights into power and SNR behavior.

Contribution

It extends capacity analysis of MIMO FTN signaling to smaller acceleration factors and includes PAPR and SNR analysis with simulations for different symbol sets.

Findings

Capacity decreases as acceleration factor approaches zero with fixed power.

PAPR explodes at low acceleration factors for fixed SNR.

Received SNR diminishes at low acceleration factors if transmission power is fixed.

Abstract

Faster-than-Nyquist (FTN) signaling is a non-orthogonal transmission technique offering a promising solution for future generations of communications. This paper studies the capacity of FTN signaling in multiple-input multiple-output (MIMO) channels for high acceleration factors. In our previous study [1], we found the capacity for MIMO FTN channels if the acceleration factor is larger than a certain threshold, which depends on the bandwidth of the pulse shape used. In this paper, we extend the capacity analysis to acceleration factors smaller than this mentioned threshold. In addition to capacity, we conduct peak-to-average power ratio (PAPR) analysis and simulation for MIMO FTN for varying acceleration factors for both Gaussian and QPSK symbol sets. Our analysis reveals important insights about transmission power and received signal-to-noise ratio (SNR) variation in FTN. As the acceleration factor approaches 0, if the transmission power is fixed, the received SNR diminishes, or if the received SNR is fixed, PAPR at the transmitter explodes.