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Journal ArticleDOI

A volterra series description of crosstalk interference in communications systems

Joel Goldman
- 06 May 1973 - 
- Vol. 52, Iss: 5, pp 649-668
TLDR
In this paper, a general description of interchannel and intra-channel crosstalk interference created in a communications system is given in the form of a Volterra series expansion of the interference signal in terms of the signal which produced the interference.
Abstract
This paper studies a general description of interchannel and intra-channel crosstalk interference created in a communications system. This description is in the form of a Volterra series expansion of the interference signal in terms of the signal which produced the interference. From it we are able to precisely define the “intelligible” part of the crosstalk. This description also provides us with quantitative measures of the amount of crosstalk created in some communications channel by signals in another channel, as well as a measure (intelligible crosstalk ratio) of the amount of intelligible crosstalk produced. We then consider a particular model for the generation of intelligible crosstalk [or direct adjacent channel interference (DACI)] between two neighboring angle-modulated channels in which the signal in one channel adds to the signal of the second channel, the sum is filtered, and the filter output then passes through an AM-PM conversion device. Using our definition, a simple expression for the intelligible crosstalk ratio for this model is derived in terms of the filter characteristic. We observe that this crosstalk ratio exhibits a number of properties usually associated with DACI.

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Citations
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Journal ArticleDOI

A bibliography on nonlinear system identification

TL;DR: The present bibliography represents a comprehensive list of references on nonlinear system identification and its applications in signal processing, communications, and biomedical engineering.
Journal ArticleDOI

Characterization of Nonlinearities in Microwave Devices and Systems

TL;DR: In this article, a simple model to describe a nonlinear device or system is proposed which extends the power series expansion, conventionally restricted to amplitude nonlinearities, to include phase non-linearities as well.
Journal ArticleDOI

Matrix analysis of mildly nonlinear, multiple-input, multiple-output systems with memory

TL;DR: In this article, a matrix method of analysis is developed for mildly nonlinear, multiple-input-multiple-output (MIMO) systems with memory, which is based on a Volterra-series representation whose kernels are two-dimensional matrices rather than multidimensional arrays.
Journal ArticleDOI

Theory of nonlinear systems

TL;DR: The Taylor-Cauchy transform method has been applied in the analysis of simultaneous nonlinear systems as discussed by the authors, and it is shown that the linear system to the nonlinear system, the input-output crosscorrelation φxy can be shown to be equal to the convolution of system impulse response h1 with the autocorrelation Άxx.
Proceedings ArticleDOI

Stable Compensation of Nonlinear Communication Systems

TL;DR: In this article, the authors proposed a post compensator based on Volterra System Theory to reduce the effects of nonlinear distortion in communication channels, where the effects due to the third order nonlinearity are assumed negligible.
References
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Journal ArticleDOI

Measurement of the Wiener Kernels of a Non-linear System by Cross-correlation†

TL;DR: In this article, a practical and relatively simple method of measuring the Wiener kernels of a non-linear system is presented, which is based upon cross-correlation techniques and avoids orthogonal expansions such as those of the original Wiener method of measurement.
Journal ArticleDOI

The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs

TL;DR: Results, both old and new, which will aid the reader in applying Volterra-series-type analyses to systems driven by sine waves or Gaussian noise are presented.
Journal ArticleDOI

Measurement of the Kernels of a Non-linear System of Finite Order†

TL;DR: In this article, a method of measuring the Volterra kernels of a finite-order non-linear system is presented, where the kernels are obtained individually as a multi-dimensional impulse response.
Journal ArticleDOI

The TD-2 microwave radio relay system

TL;DR: The TD-2 microwave radio relay system is a recent addition to the telephone plant facilities for long distance communication as discussed by the authors, which is designed to supplement the coaxial system and to provide greatly expanded facilities for nationwide transmission of broad-band signals such as television pictures or large groups of message circuits.
Journal ArticleDOI

Intermodulation noise in FM systems due to transmission deviations and AM/PM conversion

TL;DR: In this article, the second-and third-order AM/PM intermodulation noise is derived in terms of transmission medium coefficients and a continuous pre-emphasis characteristic, with the unpre-emphasized baseband signal being simulated by white Gaussian noise.