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Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front Elect Electr Eng    2012, Vol. 7 Issue (2) : 261-269    https://doi.org/10.1007/s11460-011-0173-8
RESEARCH ARTICLE
Wireless multicarrier digital transmission via frames: Capacity analysis and optimization design
Fangming HAN1,2(), Xianda ZHANG1,2
1. Department of Automation, Tsinghua University, Beijing 100084, China; 2. Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084, China
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Abstract

By treating information transmission as tiling over the time-frequency plane, we propose a digital signal transmission scheme employing overcomplete frames as modulation pulses. The new scheme can achieve a signaling rate larger than the Nyquist rate. We first analyze the capacity performance of the frame transmission scheme over additive white Gaussian noise (AWGN) channels. It proves that the proposed scheme can achieve the Shannon capacity asymptotically. Next, we design the Gabor frame system parameters in time-frequency dispersive channels. It is shown that the pulses shape and the time-frequency separation should be matched to the channel dispersion parameters to achieve the minimum energy perturbation. Numerical results are presented to verify the theoretical findings.

Keywords overcomplete      frame      Nyquist rate      signaling efficiency      capacity     
Corresponding Author(s): HAN Fangming,Email:fmhan@mail.tsinghua.edu.cn   
Issue Date: 05 June 2012
 Cite this article:   
Fangming HAN,Xianda ZHANG. Wireless multicarrier digital transmission via frames: Capacity analysis and optimization design[J]. Front Elect Electr Eng, 2012, 7(2): 261-269.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-011-0173-8
https://academic.hep.com.cn/fee/EN/Y2012/V7/I2/261
Fig.1  Illustration of Mar?enko-Pastur distribution density functions () for various
Fig.2  Simulated and theoretical Shannon capacities in terms of spectral efficiency versus /
Fig.3  BER comparison of overcomplete QPSK W-H frame system with =1.6 and incomplete 16QAM Riesz basis system with =0.8 in the T-F dispersive Rayleigh fading channels (Here, the parameters of the exponential delay profile and U-shape Doppler spectrum are set to be =8 μs and =600 Hz.)
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