6th International ICST Conference on Communications and Networking in China

Research Article

# Capacity Limits of Bandlimited Gaussian Channels in Fractional Fourier Domain

• ```@INPROCEEDINGS{10.1109/ChinaCom.2011.6158222,
author={Naitong Zhang and Jun Shi and Xin Ge and Qinyu Zhang},
title={Capacity Limits of Bandlimited Gaussian Channels in Fractional Fourier Domain},
proceedings={6th International ICST Conference on Communications and Networking in China},
publisher={IEEE},
proceedings_a={CHINACOM},
year={2012},
month={3},
keywords={bandlimited channels fractional fourier transform fractional fourier domain channel capacity theorem},
doi={10.1109/ChinaCom.2011.6158222}
}
```
• Naitong Zhang
Jun Shi
Xin Ge
Qinyu Zhang
Year: 2012
Capacity Limits of Bandlimited Gaussian Channels in Fractional Fourier Domain
CHINACOM
IEEE
DOI: 10.1109/ChinaCom.2011.6158222
Naitong Zhang1, Jun Shi1, Xin Ge1,*, Qinyu Zhang1
• 1: Harbin Institute of Technology
*Contact email: gexinhmily@126.com

## Abstract

The well-known Shannon channel capacity theorem plays a fundamental role in modern wireless communications. However, this theorem, derived from the Fourier transform (FT) viewpoint, only holds for Fourier bandlimited Gaussian channels. It has already been shown that a signal can not be both Fourier bandlimited and fractional bandlimited with a certain angle απ/2. Hence, it is desirable to generalize the Shannon channel capacity theorem from Fourier bandlimited channels to fractional bandlimited ones. In this paper, we propose a formula to calculate the capacity limits of bandlimited Gaussian channels in the fractional Fourier domain. This formula is an extension of the Shannon channel capacity theorem for fractional bandlimited channels. The achieved results may be useful for designing communication systems in the fractional Fourier domain.