On Modelling AM/AM and AM/PM Conversions via Volterra Series

Authors

  • Andrzej Marek Borys Gdynia Maritime University
  • Wiesław Sieńko Gdynia Maritime University

Abstract

In this paper, we present the expressions, not published up to now, that describe the AM/AM and AM/PM conversions of communication power amplifiers (PAs) via the Volterra series based nonlinear transfer functions. Furthermore, we present a necessary and sufficient condition of occurrence of the nonzero values of AM/PM conversion in PAs. Moreover, it has been shown that Saleh’s approach and related ones, which foresee nonzero level of AM/PM conversion, are not models without memory. It has been also shown that using a polynomial description of a PA does not lead to a nonzero AM/PM conversion. Moreover, a necessary condition of occurrence of an AM/AM conversion in this kind of modelling is existence of at least one nonzero polynomial coefficient associated with its odd terms of degree greater than one.

Author Biographies

Andrzej Marek Borys, Gdynia Maritime University

Associate Professor, Department of Marine Telecommunications

Wiesław Sieńko, Gdynia Maritime University

Associate Professor, Department of Marine Telecommunications

References

G. Maral and M. Bousquet, Satellite Communications Systems: Systems, Techniques and Technology. Chichester, United Kingdom: John Wiley & Sons, 2009.

J. Joung, C. K. Ho, K. Adachi, and S. A. Sun, “Survey on power-amplifier-centric techniques for spectrum- and energy-efficient wireless communications,” IEEE Communications Surveys & Tutorials, vol. 17 pp. 315-333, 2015.

M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems, New York: John Wiley & Sons, 1980.

A. A. M. Saleh, “Frequency-independent and frequency-dependent nonlinear models of TWT amplifiers,” IEEE Trans. on Communications, vol. 29, pp. 1715-1720, 1981.

M. Jeruchim, P. Balaban, and K. Sam Shanmugan, Simulation of Communication Systems: Modeling, Methodology, and Techniques. New York: Kluwer, 2002.

A. Borys, “Consideration of Volterra series with excitation and/or impulse responses in form of Dirac impulses,” IEEE Trans. on Circuits and Systems – II: Express Briefs, vol. 57, pp. 466-470, 2010.

S. Benedetto, E. Biglieri, and R. Daffara, “Modeling and performance evaluation of nonlinear satellite links - a Volterra series approach,” IEEE Trans. on Aerospace and Electronic Systems, vol. 15, pp. 494-507, 1979.

S. Benedetto and E. Biglieri, “Nonlinear equalization of digital satellite channels,” IEEE J. Sel. Areas Commun., vol. 1, pp. 57–62, 1983.

G. Colavolpe and A. Piemontese, “Novel SISO Detection Algorithms for Nonlinear Satellite Channels,” IEEE Wireless Communications Letters, vol. 1, pp. 22-25, 2012.

S. Ganesan, E. Sánchez-Sinencio, and J. Silva-Martinez, “A highly linear low-noise amplifier,” IEEE Transactions on Microwave Theory and Techniques, vol. 54, pp. 4079-4085, 2006.

I. W. Sandberg, “Bounded inputs and the representation of linear system maps,” Circuits, Systems, and Signal Processing, vol. 24, pp. 103-115, 2005.

A. Borys, “Saleh’s model of AM/AM and AM/PM conversions is not a model without memory effect,” submitted for publication.

A. Borys and W. Sieńko, “On nonlinear distortions in satellite communication links and their equalization,” in Proceedings of the 1st International Conference on Innovative Research and Maritime Applications of Space Technology IRMAST, Gdańsk, 2015, pp. 161-166.

A. Kaye, D. George, and M. Eric, “Analysis and compensation of bandpass nonlinearities for communications,” IEEE Trans. on Commun. Technol., vol. 20, pp. 365-372, 1972.

G. Heiter, “Characterization of nonlinearities in microwave devices and systems,” IEEE Trans. Microwave Theory Tech., vol. 21, pp. 797-805, 1973.

Downloads

Published

2016-09-08

Issue

Section

Signals, Circuits, Systems