TY - GEN
T1 - Capacity limits of bandlimited Gaussian channels in fractional Fourier domain
AU - Zhang, Naitong
AU - Shi, Jun
AU - Ge, Xin
AU - Zhang, Qinyu
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - bandlimited channels
KW - channel capacity theorem
KW - fractional Fourier domain
KW - fractional Fourier transform
UR - https://www.scopus.com/pages/publications/84863239651
U2 - 10.1109/ChinaCom.2011.6158222
DO - 10.1109/ChinaCom.2011.6158222
M3 - 会议稿件
AN - SCOPUS:84863239651
SN - 9781457701016
T3 - Proceedings of the 2011 6th International ICST Conference on Communications and Networking in China, CHINACOM 2011
SP - 585
EP - 588
BT - Proceedings of the 2011 6th International ICST Conference on Communications and Networking in China, CHINACOM 2011
T2 - 2011 6th International ICST Conference on Communications and Networking in China, CHINACOM 2011
Y2 - 17 August 2011 through 19 August 2011
ER -