English

Discrete-Time Models Resulting From Dynamic Continuous-Time Perturbations In Phase-Amplitude Modulation-Demodulation Schemes

Systems and Control 2014-11-06 v1 Optimization and Control

Abstract

We consider discrete-time (DT) systems S in which a DT input is first tranformed to a continuous-time (CT) format by phase-amplitude modulation, then modified by a non-linear CT dynamical transformation F, and finally converted back to DT output using an ideal de-modulation scheme. Assuming that F belongs to a special class of CT Volterra series models with fixed degree and memory depth, we provide a complete characterization of S as a series connection of a DT Volterra series model of fixed degree and memory depth, and an LTI system with special properties. The result suggests a new, non-obvious, analytically motivated structure of digital compensation of analog nonlinear distortions (for example, those caused by power amplifiers) in digital communication systems. Results from a MATLAB simulation are used to demonstrate effectiveness of the new compensation scheme, as compared to the standard Volterra series approach.

Keywords

Cite

@article{arxiv.1411.1328,
  title  = {Discrete-Time Models Resulting From Dynamic Continuous-Time Perturbations In Phase-Amplitude Modulation-Demodulation Schemes},
  author = {Omer Tanovic and Alexandre Megretski and Yan Li and Vladimir M. Stojanovic and Mitra Osqui},
  journal= {arXiv preprint arXiv:1411.1328},
  year   = {2014}
}

Comments

Submitted to the 14th European Control Conference (ECC15)

R2 v1 2026-06-22T06:49:13.936Z