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Analysis of communication systems using iterative methods based on Banach's contraction principle

Azari Soufiani, H ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1109/ICICS.2007.4449834
  3. Publisher: 2007
  4. Abstract:
  5. 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. Although analyses are performed on a linear system, they could be generalized to non linear ones. ©2007 IEEE
  6. Keywords:
  7. Communication systems ; Computer networks ; Ketones ; Linear systems ; Numerical analysis ; Shrinkage ; Signal processing ; Banach's contraction principle ; International conferences ; Iterative signal reconstruction ; System enhancement ; Iterative methods
  8. Source: 2007 6th International Conference on Information, Communications and Signal Processing, ICICS, Singapore, 10 December 2007 through 13 December 2007 ; 2007 ; 1424409837 (ISBN); 9781424409839 (ISBN)
  9. URL: https://ieeexplore.ieee.org/abstract/document/4449834