Complex-valued Adaptive System Identification via Low-Rank Tensor Decomposition

TL;DR

This paper introduces two new complex-valued tensor-based system identification architectures that outperform simple extensions of real-valued methods, with minimal additional computational cost, for complex signal processing applications.

Contribution

The paper develops novel complex-valued tensor decomposition architectures that enhance system identification performance in complex signal scenarios.

Findings

Outperforms trivial complex extensions in accuracy

Requires only slight increase in computational resources

Effective for complex-valued signal processing

Abstract

Machine learning (ML) and tensor-based methods have been of significant interest for the scientific community for the last few decades. In a previous work we presented a novel tensor-based system identification framework to ease the computational burden of tensor-only architectures while still being able to achieve exceptionally good performance. However, the derived approach only allows to process real-valued problems and is therefore not directly applicable on a wide range of signal processing and communications problems, which often deal with complex-valued systems. In this work we therefore derive two new architectures to allow the processing of complex-valued signals, and show that these extensions are able to surpass the trivial, complex-valued extension of the original architecture in terms of performance, while only requiring a slight overhead in computational resources to allow for complex-valued operations.