Blind Identification of Sparse Systems Using Symbolic Dynamics Encoding

Sumona Mukhopadhyay, Henry Leung

Abstract: The unique properties of chaotic signals have led to their application in improving blind system identification performance. However, the role of chaos in blind identification of a sparse system has not been investigated. In this letter, we apply symbolic dynamics to encode a random signal to reap the benefits of chaos in improving blind identification of a sparse Moving Average (MA) system. We derive an estimation technique using the encoded signal by training a machine learning model that mimics a chaotic map. The novelty of our work is to exploit the merits of chaos in improving blind estimation performance of sparse systems at low signal-to-noise (SNR) ratio. The estimation error of our method is close to the minimum mean square error of the nonblind method for sparse system estimation and works well for a short data sequence.

External IDs:doi:10.1109/lcomm.2021.3053151