Matrix Analysis of Mildly Nonlinear, Multiple-Input, Multiple-Output Systems With Memory

Saleh, A.A.M.

doi:10.1002/j.1538-7305.1982.tb03421.x

Cited by 20 publications

(7 citation statements)

References 20 publications

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“…1 and 2). Aside from considerations concerning the differentiability hypothesis on N, and the existence of a Vo as described, Theorem 4 shows that the series representation given by (12) holds for Av E V, whenever V is an open c-star about some P such that the equation x -CNx = U of the feedback portion is, so to speak, uniquely locally-Lipschitz-solvable in some open subset of S for every u in V. Implicit in this is the assumption that Y8 is a complex Banach space. Since the inputs and outputs of most nonlinear systems of direct interest are real valued functions, the main point of Theorem 4 with regard to applications is that an 11, p. 198.…”

Section: Discussionmentioning

confidence: 99%

Nonlocal Input-Output Expansions

Sandberg

1985

At&T Technical Journal

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In a recent series of papers by this writer on the existence, determination, and properties of power‐series‐like expansions for expressing a nonlinear system's outputs in terms of its inputs, the emphasis is primarily on locally convergent expansions. Here we report on related general results concerning nonlocal expansions, including in particular material concerning the size of the region of convergence. One of the results given provides useful necessary and sufficient conditions under which f−1 has a generalized power‐series expansion, where f is a certain important general type of invertible map (that, for example, might take one set of complex‐valued signals defined on [0, ∞) into another).

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Section: Discussionmentioning

confidence: 99%

Nonlocal Input-Output Expansions

Sandberg

1985

At&T Technical Journal

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“…Thus, if the control variables were a set of Q 1 and Q 2 sinusoids of the form With the formulation adopted, a minimum set of NLTFs is used. Thus, contrary to the 2 (mϩnϩ1) NLFTs required in [5] and [6], we only need 2(m ϩ n ϩ 1). Accordingly, it should be noted that, because H im0 ( 11 , .…”

Section: General Characterization Of Mildly Nonlinear Two-port Symentioning

confidence: 92%

“…, 2n ) (m, n 0) no 1r frequency can be interchanged with any 2s . Therefore, the total dimension of our NLTF representation is exactly the same as those of [5] and [6].…”

Section: General Characterization Of Mildly Nonlinear Two-port Symentioning

confidence: 96%

“…To our knowledge, the first double-Volterra series model for microwave devices was proposed in the 1970s by Weiner and Naditch [5], which was then complemented by the generalization to multiple-input, multiple-output systems attributable to Saleh [6]. However, probably because of its theoretical nature, this nonlinear extension of the [S] matrix never received the attention it deserved.…”

Section: Introductionmentioning

confidence: 95%

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Theoretical basis for extraction of mildly nonlinear behavioral models

Pedro

Madaleno

García

2002

Int J RF and Microwave Comp Aid Eng

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The analytical and laboratory requirements for the extraction of a mildly nonlinear behavioral model are derived. This shows that they greatly exceed current capabilities in general, and a simplified procedure based on dynamic linear element deembedding is proposed. This procedure is then illustrated for a case of practical significance by discussing various methods to extract an intermodulation model of a MES field effect transistor.

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“…The most rigorous theory for including memory effects in not-strongly nonlinear systems is Volterra formalism [11]- [13]. In that formalism, the system is described by Volterra kernels of various orders.…”

Section: Volterra/wiener Representationmentioning

confidence: 99%

Frequency-Selective Predistortion Linearization of RF Power Amplifiers

Roblin

Myoung

Chaillot

et al. 2008

IEEE Trans. Microwave Theory Techn.

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This paper presents a frequency-selective RF vector predistortion linearization system for RF multicarrier power amplifiers (PAs) affected by strong differential memory effects. Differential memory effects can be revealed in two-tone experiment by the divergence for increasing tone-spacing of the vector Volterra coefficients associated with the lower and upper intermodulations tones. Using large-signal vector measurement with a large-singal network analyzer, a class-AB LDMOS RF PA is demonstrated to exhibit a strong differential memory effect for modulation bandwidth above 0.3 MHz. New frequency-selective RF and baseband predistortion linearization algorithms are proposed to separately address the linearization requirements of the interband and inband intermodulation products of both the lower and upper sidebands. Theoretical verification of the algorithms are demonstrated with MATLAB simulations using a Volterra/Wiener PA model with memory effects. The baseband linearization algorithm is next implemented in a field-programmable gate array and experimentally investigated for the linearization of the class-AB LDMOS PA for two carrier wideband code-division multiple-access signals. The ability of the algorithm to selectively linearize the two interband and four inband intermodulation products is demonstrated. Adjacent channel leakage ratio of up to 45 dBc for inband and interband are demonstrated experimentally at twice the typical fractional bandwidth.

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Matrix Analysis of Mildly Nonlinear, Multiple-Input, Multiple-Output Systems With Memory

Cited by 20 publications

References 20 publications

Nonlocal Input-Output Expansions

Nonlocal Input-Output Expansions

Theoretical basis for extraction of mildly nonlinear behavioral models

Frequency-Selective Predistortion Linearization of RF Power Amplifiers

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