Derivation of the closed form information capacity equation of the random signature multiple-input multiple-output Gaussian channel

2003 ◽  
Author(s):  
P. Rapajic ◽  
D. Popescu
Keyword(s):  
Closed Form ◽  
Multiple Input Multiple Output ◽  
Information Capacity ◽  
Gaussian Channel ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Form Information

scholarly journals Secure downlink transmission with finite resolution analog beamforming in massive multiple-input multiple-output system

2018 ◽  
Vol 14 (9) ◽  
pp. 155014771880225 ◽  
Author(s):  
Xianyu Zhang ◽  
Daoxing Guo ◽  
Kongzhe Yang ◽  
Silin Xie
Keyword(s):  
Closed Form ◽  
Multiple Input Multiple Output ◽  
Base Station ◽  
Artificial Noise ◽  
Secrecy Rate ◽  
Finite Resolution ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Output System ◽  
Ergodic Secrecy Rate

To reduce the number of radio-frequency chains of base station, the use of finite resolution analog beamforming is desirbale in massive multiple-input multiple-output system. This article investigates the secure downlink massive multiple-input multiple-output data transmission with artificial noise at base station in the presence of a multi-antenna passive eavesdropper. The achievable user’s ergodic information rate and ergodic capacity of the eavesdropper are analyzed in detail, respectively. With maximum ratio transmission or maximum ratio combining, we derive closed-form expressions for a tight lower bound on ergodic secrecy rate and tight upper bound for secrecy outage probability. Based on these analytical expressions, the effects of various system parameters on secrecy performance, such as power allocation factor, number of eavesdropper’s antennas, number of the user terminals, total transmission power, and finite resolution analog beamforming parameters, are investigated in detail. Also, the optimal power allocation scheme between data and artificial noise signals is achieved in closed form to maximize the ergodic secrecy rate. In addition, we derive the conditions that the secure massive multiple-input multiple-output system need to meet to obtain a positive secrecy rate. Finally, numerical simulation results validate the system’s secrecy performance and verify all the theoretical analytical results.

scholarly journals MIMO OTA Testing Based on Transmit Signal Processing

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jesús Gutiérrez ◽  
Jesús Ibáñez ◽  
Jesús Pérez
Keyword(s):  
Signal Processing ◽  
Closed Form ◽  
Linear Combination ◽  
Multiple Input Multiple Output ◽  
Mimo Channel ◽  
Multiple Input ◽  
Channel Conditions ◽  
Input Multiple Output

Usually, multiple-input-multiple-output (MIMO) testbeds are combined with channel emulators for testing devices and algorithms under controlled channel conditions. In this work, we propose a simple methodology that allows over-the-air (OTA) MIMO testing using a MIMO testbed solely, avoiding the use of channel emulators. The MIMO channel is emulated by linearly combining the signals at the testbed transmitter. The method is fully flexible, so it is able to emulate any equivalent baseband narrowband MIMO channel by adequately selecting the weights of the linear combination. We derive closed-form expressions for the computation of such weights. To prove its feasibility, the method has been implemented and tested over a commercial MIMO testbed.

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