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Analysis of communication systems using iterative methods based on Banach's contraction principle
, Article 2007 6th International Conference on Information, Communications and Signal Processing, ICICS, Singapore, 10 December 2007 through 13 December 2007 ; 2007 ; 1424409837 (ISBN); 9781424409839 (ISBN) ; Saberian, M. J ; Akhaee, M. A ; Nasiri Mahallati, R ; Marvasti, F ; Sharif University of Technology
2007
Abstract
In this paper, the application of a well known mathematical theorem, Banach's fixed point theorem [1], is investigated in iterative signal processing in communications. In most practical communication systems some sort of a contraction mapping is used to enhance the operation of the system. Thus, using a suitable iterative approach, one can set the system in its fixed point and hence, the distortion produced in the transmitter, channel and the receiver can be compensated. In other words, a loosely designed transceiver can be enhanced by an iterative method. In order to verify the truth of the proposed iterative method, the distortion of A/D and D/A converters is compensated at the receiver....