Title :
The Cross Rate: Linear Processing for the Two User Broadcast Channel
Author :
Housfater, Alon Shalev ; Lim, Teng Joon
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
Abstract :
A novel linear precoding technique for the two user broadcast channel is presented. The performance measure used is the cross rate, defined as the difference between the sum throughputs of the system and its transpose. We show that the cross rate optimization problem can be reformulated as an alternating optimization of the steering matrix and power allocation. We solve the power allocation problem in closed form and give an efficient algorithm to compute the steering matrix. The algorithm is iterative and consists of simple operations, only requiring a single eigen-decomposition of a certain matrix. Simulation results indicate a 10% achievable rate gain over the regularized zero forcing algorithm with similar complexity, over a wide range of signal to noise (SNR) values.
Keywords :
broadcast channels; channel allocation; channel coding; linear codes; matrix algebra; optimisation; precoding; singular value decomposition; alternating optimization; cross rate optimization problem; linear preceding technique; linear processing; power allocation; regularized zero forcing algorithm; signal to noise ratio; single eigen decomposition; steering matrix; user broadcast channel; Broadcasting; Communications Society; Computational modeling; Educational institutions; Iterative algorithms; Receiving antennas; Signal to noise ratio; Symmetric matrices; Throughput; Transmitters;
Conference_Titel :
Communications (ICC), 2010 IEEE International Conference on
Conference_Location :
Cape Town
Print_ISBN :
978-1-4244-6402-9
DOI :
10.1109/ICC.2010.5501879