Short Description

The output of linear weakly time-varying systems can be equalized by iterative reconstruction methods [1]. For this purpose no direct inverse needs to be calculated and the initial system can be used for reconstruction. In [2] it has been shown that weakly time-varying systems can be extended to nonlinear weakly time-varying systems and basically the same algorithms can be used for the reconstruction. It is not clear, however, under which conditions the reconstruction will converge and how these methods can be exploited for system identification.

The main objectives of this thesis are the investigation of weakly time-varying nonlinear systems, development of a concise mathematical framework, derivation of an iterative reconstruction algorithm and its convergence criterion and the investigation of iterative structures for system identification tasks.

References

[1] M. Soudan and C. Vogel, “Correction structures for linear weakly time-varying systems,” IEEE Transactions on Circuits and Systems I, Regular Papers, to be published
[2] M. Soudan, “Low Complexity Correction Structures for Time-Varying Systems,” Ph.D. dissertation, Graz University of Technology, Austria, 2012.