Distortion analysis of weakly nonlinear filters using Volterra series

Cherry, James A.

doi:10.22215/etd/1995-02908

Cited by 9 publications

(10 citation statements)

References 21 publications

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“…Volterra series have been used extensively in the literature to model the dynamic response of nonlinear systems using a set of kernel functions called Volterra kernels [19][20][21][22][23][24]. The higher-order localization relationship shown in Eq.…”

Section: Mks Frameworkmentioning

confidence: 99%

“…As noted earlier, the higher-order descriptors are expected to play an important role in the higher-contrast composites, because they quantify accurately the local neighborhoods in the microstructure. It is well known that Volterra series are only effective if the transfer functions converge with increasing complexity [19][20][21]. In the MKS approach, this translates to the need to organize the terms in Eq.…”

Section: Reformulation Of the Mks Frameworkmentioning

confidence: 99%

“…In closing this section, we note that our approach for estimating the influence coefficients deviates substantially from the approaches used in the literature based on Volterra kernels [19][20][21][22][23][24]. The approach described here explicitly accounts for all of the redundancies from the microstructure signal in the Volterra series expansion, facilitates the successful use of simple linear regression methods, and produces influence functions with finite memory (with the expected decay with increasing values of t).…”

Section: Calibrating Higher-order Influence Coefficientsmentioning

confidence: 99%

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Formulation and calibration of higher-order elastic localization relationships using the MKS approach

Fast

Kalidindi

2011

Acta Materialia

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Section: Mks Frameworkmentioning

confidence: 99%

Section: Reformulation Of the Mks Frameworkmentioning

confidence: 99%

Section: Calibrating Higher-order Influence Coefficientsmentioning

confidence: 99%

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Formulation and calibration of higher-order elastic localization relationships using the MKS approach

Fast

Kalidindi

2011

Acta Materialia

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“…In cases when the explicit equation relating the input set I to ℵ(I) is known, various techniques like the harmonic input method, direct expansion etc. ( [9]) can be used to compute kernels of the unknown functional. In the absence of such an explicit relation, we propose that the Volterra kernels be learnt from the data using the goodness functional.…”

Section: Volterra Kernel Approximationsmentioning

confidence: 99%

“…The second order convolution kernels in the Volterra series are required to be symmetrical ( [9]) and this symmetry also manifests itself into the structure of A 2 i . By allowing only unique entries in A 2 i we can reduce the dimensions of .…”

Section: Second Order Approximationmentioning

confidence: 99%

Volterrafaces: Discriminant analysis using Volterra kernels

Kumar

Banerjee

Vemuri

2009

2009 IEEE Conference on Computer Vision and Pattern Recognition

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In this paper we present a novel face classification system where we represent face images as a spatial arrangement of image patches, and seek a smooth non-linear functional mapping for the corresponding patches such that in the range space, patches of the same face are close to one another, while patches from different faces are far apart, in L 2 sense. We accomplish this using Volterra kernels, which can generate successively better approximations to any smooth non-linear functional. During learning, for each set of corresponding patches we recover a Volterra kernel by minimizing a goodness functional defined over the range space of the sought functional. We show that for our definition of the goodness functional, which minimizes the ratio between intra-class distances and inter-class distances, the problem of generating Volterra approximations, to any order, can be posed as a generalized eigenvalue problem. During testing, each patch from the test image that is classified independently, casts a vote towards image classification and the class with the maximum votes is chosen as the winner. We demonstrate the effectiveness of the proposed technique in recognizing faces by extensive experiments on Yale, CMU PIE and Extended Yale B benchmark face datasets and show that our technique consistently outperforms the state-of-the-art in learning based face discrimination.

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Reconfigurable RF Power Amplifiers on Silicon for Wireless Handsets

Leyssenne¹,

Kerherv²,

Deval³

2011

Analog Circuits and Signal Processing

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No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) PrefaceThe design of power amplifiers (PA) for wireless applications has been a topic of great concern among the scientific community in electronics since the early 1990s. Power amplifiers dominantly determine the power efficiency and battery lifetime of modern mobile terminals. PA linearity is a key feature that limits the maximum allowed data rate of a radio link. The deployment of always more complex radio networks with a continuously growing throughput sharpens the specifications of power amplifiers. The market of wireless handsets (cellular phones, . . .) pushes manufacturers towards multi-standard capabilities (3G, Bluetooth, WIFI) and a growing level of integration. The Bill-of-Material and the consumed die area that are affordable are constantly reduced for cost purpose. The trade-offs that are inherent to PA design are therefore extremely stringent and no technical/technological solution can unanimously be regarded as a definitive contribution. To this date, the market of handset-dedicated power amplifiers is widely dominated by III/V technologies. However, throughout the following pages, we will try to highlight the benefits of PA integration on silicon. The architectures that will be proposed hereunder take advantage of silicon capabilities and strength, among others their relatively low cost and their ability to combine high power devices with low-power analog/digital control circuitry.Chapter 1 will first present the respective features of 2nd and 3rd generation cellular applications (GSM, DCS, EDGE, WCDMA. . .) and data transmission standards (WIFI, WIMAX, LTE). An overview of the most commonly employed RF power amplifier topologies will also be provided, with their advantages and drawbacks. Finally, the 0.25 µm BICMOS ST Microelectronics technology will be described and compared with III/V processes in the prospect of PA development. The fundamental features of power devices will be detailed and the most appropriate technological choice prior to the PA design itself will be discussed.In Chapters 2 and 3, several novel PA topologies will be proposed and discussed in terms of efficiency, linearity and complexity by means of mixed system/transistorlevel analyses. Chapter 2 will investigate three novel switched-mode power amplifier topologies. The first non-constant-gain principle is based on the power stage bypass/extinction and applied to a silicon HBT demonstrator. A silicon HBT demonstrator that was developed in the frame of RNRT ASTURIES project will be v vi Preface presented The other two topologies...

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Distortion analysis of weakly nonlinear filters using Volterra series

Cited by 9 publications

References 21 publications

Formulation and calibration of higher-order elastic localization relationships using the MKS approach

Formulation and calibration of higher-order elastic localization relationships using the MKS approach

Volterrafaces: Discriminant analysis using Volterra kernels

Reconfigurable RF Power Amplifiers on Silicon for Wireless Handsets

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