Saleh’s model of AM/AM and AM/PM conversions is not a model without memory – another proof

Andrzej Marek Borys

Abstract


The so-called Saleh’s representation for description of the AM/AM and AM/PM conversions, occurring in communication power amplifiers, consists of two expressions that describe them as functions of a real-valued baseband signal modulating the carrier amplitude. It is a common view that this description forms a model without memory. We show here that the above belief is not correct; just the opposite is true.  To prove this, we take into account an equivalent description of the Saleh’s model called the quadrature model of bandpass nonlinearities and express it in a form of a nonlinear operator. Afterwards, we check whether this operator possesses a zero memory. To this end, we use an appropriate theorem of the nonlinear systems theory. Finally, as a result of this investigation, we observe that the memory of the above operator is nonzero.

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References


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

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

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

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.

A. Borys, “Quadrature mapping, Saleh’s representation, and memory models”, to be published in Int. Journal of Telecommunications and Electronics (JET), vol. 62, no. 4, pp. xx-xx, 2016.

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

A. Borys, Nonlinear Aspects of Telecommunications: Discrete Volterra Series and Nonlinear Echo Cancellation, Boca Raton, Florida, USA: CRC Press, 2000.

J. J. Bussgang, L. Ehrman, and J. W. Graham, “Analysis of nonlinear systems with multiple inputs,” Proceedings of the IEEE, vol. 62, pp. 1088-1119, 1974.

S. Boyd and L. O Chua, “Fading memory and the problem of approximating nonlinear operators with Volterra series”, IEEE Trans. on Circuits and Systems, vol. 32, pp. 1150-1161, 1985.

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, Poland, April 23 – 24, 2015, pp. 161 – 166.

A. Borys and W. Sieńko, “On modelling AM/AM and AM/PM conversions via Volterra series,” Int. Journal of Telecommunications and Electronics (JET), vol. 62, pp. 267-272, 2016.

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, “Sandberg’s representation theorem and classification of linear systems”, IEEE Trans. on Circuits and Systems – II: Express Briefs, vol. 55, pp. 678- 679, 2008.


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