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Journal ArticleDOI

Application of Volterra series to intermodulation distortion analysis of transistor feedback amplifiers

S. Narayanan
- 01 Nov 1970 - 
- Vol. 17, Iss: 4, pp 518-527
TLDR
In this paper, the authors analyzed the intermodulation distortion of a solid-state feedback amplifier and showed that the feedback is fully effective in reducing the open-loop second-order distortion.
Abstract
This paper analyzes the intermodulation distortion of a solid-state feedback amplifier. Each transistor of the amplifier has been represented by a frequency-dependent model incorporating four nonlinearities. The Volterra series is used as the analysis tool. The primary motivation for this study is that intermodulation distortion is a critical problem in high-frequency long-haul solidstate systems. A computer program that calculates the amplifier intermodulation distortion has been developed. This program can be used to select the optimum bias point of each stage, optimum interstage and feedback networks, and optimum load and source impedances. Good correlation between calculated and measured results was obtained. The closed-form expressions derived show that the feedback is fully effective in reducing the open-loop second-order distortion and that the feedback may not significantly reduce the open-loop third-order distortion, if the "second-order interaction" phenomenon is dominant. The second-order interaction is explained in detail in this paper.

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Citations
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Journal ArticleDOI

Distortion analysis of bipolar transistor circuits

TL;DR: Computer results for several transistor circuits using Western Electric highfrequency transistors are all in excellent agreement with the measured data over a wide range of bias conditions and frequencies, demonstrating the validity of the approach treated in the paper.
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An investigation into the characteristics of non-linear frequency response functions. Part 1: Understanding the higher dimensional frequency spaces

TL;DR: In this paper, the characteristics of generalized frequency response functions (GFRFs) of non-linear systems in higher dimensional space are investigated using a combination of graphical and symbolic decomposition techniques.
References
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Continuous nonlinear systems

TL;DR: In this paper, a thesis submitted to M.I.T. Dept. of Electrical Engineering, July 24, 1959, is described, based on which the following paper is presented:
Journal ArticleDOI

Transistor distortion analysis using volterra series representation

TL;DR: In this article, the second and third harmonic distortion for a given set of input frequencies and transistor parameters is computed using the Volterra series representation, where the nonlinear nodal equations are solved by expressing nodal voltages in terms of the VOLTERRA series expansion of the input voltage.
Journal ArticleDOI

The Use of Functionals in the Analysis of Non-linear Physical Systems†

TL;DR: In this paper, the authors present a systematic development of this idea and present analogous expansions in a series of terms orthogonal with respect to input statistics, which is applicable equally to linear or non-linear systems.
ReportDOI

Theory of the analysis of nonlinear systems

TL;DR: This thesis is based on a thesis submitted to M.I.T. Dept. of Electrical Engineering, January 13, 1958 and aims to provide a history of electrical engineering in the United States.
Journal ArticleDOI

Functional Analysis Applied to Nonlinear Feedback Systems

TL;DR: An operator theory is outlined for the general, nonlinear, feedback loop and it is shown that feedback reduces distortion for band-limited inputs and an iteration whose rate of convergence is optimized is derived.