• No results found

Contribution to the analysis and design of linear and parametric amplifiers

N/A
N/A
Protected

Academic year: 2022

Share "Contribution to the analysis and design of linear and parametric amplifiers"

Copied!
8
0
0

Loading.... (view fulltext now)

Full text

(1)

CONTRIBUTION TO TUE ANALYSIS AND DESIGN OF LINEAR AND PARAMETRIC AMPLIFIERS

A Thesis

Submitted for the degree of

DOCTOR OF PHILOSOPHY in the Faculty of Engineering

by

DHIREITECA N. N. S INHA

Department of Electrical Engineering Indian Institute of Technology

Delhi

1973

(2)

ACKUOWIEDGEMSNTS

TI-Is work was sawried out under the supervision of Professor C.C. Dutta noy. The author wirOss to record his Aeop se:.se of gratitude to his supervisor for the able guidance a:-.d constant encouragement during the course of hie disSertation promlame, Professor P.S. Satsangi's h=elp

is 7,sco deeply apprecia7Jed for providim stimulatim:, advice regarding writing of the thesis. The author is thankful to

Dr. S.N. Gupta and Dr. A. Prabbakar for their useful suez*S- tions ELAI co; Herz a si::',cere appreciation is expressed to Pr. Ranjtt Kumar for the elegant typing.

Thanks are duo for their constant well.-wishes, to my

parents and family, in t3a.-oral, and my wife Mims in particular, Ithele ears and patience during the entire research schedule

doServe special admira'Aa:L.

D.N.N. $IWA

(3)

ABSMACT

The analysis and design of linear parametric amplificrs have been oonsidere in order to enhance their versatile appli- cations in both low-as well as high-frequency ranges. In the case of linear amplifiers, broadbandinC Of single and multi- stace amplifiers nas 'Alen investigated by using a new do:Ace

called active feedback look (AFB). This application of t e AFB has been found plausible because of the reasons tat t in both the low-and bigh-frecpency rezpotzes, the AM Pas easily maLoeuvrale rising caL,-freque:Jzy cilaracteristic. Furt:Alits for verification of the property of the APB and its app/ica tios, experimental data are also included.

As a nonlinear elemeLt is relevant for analysis anc_.

design of both parametric amplifiers an frequency converters, general real and reactive power relations in the element Ilays

beeL derive. co relations can be reduced to well known Manley and Rowe es relations under suitable constraints. In addition, classification of nonlinear elements has been carried out on the basis of these relations. Some of tlle relevant types, mentioned under the elassifteations are lose- less reaetancelecc clinear elements and lossy reactive nonm.

linear elements.

(4)

aa OOi shown that, usinc; /ossless reactanceleas nonlinear element, a creator value of conversion efficio:4y can be obtained than that possible from nonlinear reacta_ce.

In ladditIon e it x also been established that sucll typo Qf element Is idealy represented by a Jelephson junctio:,,

FLAlly, in Wall siznal sass. it ho ms been shown that, for the destj,:n of both parametric amplifiers and fre- quency converters, a loamy Matto* nonlinear element is better than an ideal nonlinear reactanee or resistance

Tie importance of element has been inferred on the Llasis of the derived expressions of the tolUiduser power fains.

Further, a formula for computing maims gain bandwidth pro- duct (GBW) of parametric amplifiers, bads also Leon ebtaine,:;.

Thie formula reveals that, for the case of lousy reactive

enlinear element, value of maximum (B is treater than that

obtaimble from reactive or resistive _o;Ilinear eleuents

(5)

16

20

23 23

3

33 TABLE OF CONTENS

Pale

ABSTRACT iv

LIST OF SYMBOL3

LIST OP :IMP:ZS xxl

LIST OP TABLES xxvi

LIST OF ABBRWIATIONS xxvi

CHAP, 1 INTRODUCTION 1

1.1 1,1 ear amplifier 2

2 Parano-ric amplifier 3 1 2.1 pitlo.1 of cofNerters ard

parametric an 7

1 2,2 Donf. of converters w:cl parametric amplifiers 1.3 Parametric amplification and

Josephson junction 1.4 Seope of this dissertation

1.4.1 Summary of Capters

CHA AN ACT/VE PEEDBA'T BLOCK AND ITS APPLICATIOM

2.1 Te transfer function of the APB 2.1.1 Condition of stability of

tl,e APB

2 1.2 Slope of the mein frequency characteristics of the APB 2.2 An application of the AP

2 2.1 Bandwidth and gain bandwidth product of the systou

(6)

2.3 Desi7n and experimental results of

the APB and the system 38 2 3.1 Discussions of the experimen-

tal results

2 Conclusion. 52

3 BOOSTINCI TATIMIDTH AND GAT 3 SAM- PROIXTCT OF LIMO AMMITIERS BY TM ME CP ACTVE PEET3r3k2 BLOCK

M-dificaticn.: of t'vm cascaded ei: to

amplifier and the APB 5 3,1.: Transfer function of the

cystem containing ridge'...T

and RC bilinear :petwork 62 3.2 Application of t:ne 4awicith booster

subsystemit multistaf7o amplifier 67 3.3 DesiFn and experimental results of

the systems 77

3.3.1 Discussion of experimental

resuris 80

3 4 conclusio%

4 GENERAL POWER RELATIONS IN, AND

PROPERTIES OP NONLINEAR ELEMENTS 86 4.1 General pmer relations in non.

linear elements 87

4.1.1 Maccification of non.

linear elements 93

(7)

(via)

4.12 Relation betweer ernerry of a nonlinear and Pt) and P

.3 Comments on Pan l's poi rolations

4.2 Derivaticin of cenversi'm if

and power 1-ain usin.;:: the power r, lationS

4 3 C ncluet.m

CAP

5 APPLICATION OF TT NNW RELATIONS AND DFXIVA/TON OP TRANSDUCER POWER lAINS

5.1 Applioatio: of the power relations to ,IL oleme-te

5.1.1 31 nal waiysis of on- deal P/NL element ('Thzpe D) 5.1.2 POwer sins of PINL rosistaize

and nonideal prm clement 5 2 Transducer poweri.,.!ains of frequency

convertor o.r.d parametrio azaplifier 5.2.1souoar power -7air: a

iI' 171ttrthridtlle

a parametric amplifier 5.3 Conclusion

IT

102

105

109

114

130

(8)

21a

136

136

CTAPTER

6 -!Etts* L

=Amin

POWER RELATIOM TV A JOSEPHSON JUNCTION

6 / Derivatio- f t e reactive pmeor rctlevzio:la

6 1 Importance of tl'e viaOr

6.2 C7-ic-...43ion

mlationa

1 h:

cliAnat,

7 CONCLUSIONS i45

7.1 Main results of the thesis 145 2 Scope r)f further work '4)

APPENDIX

Brid:*ed-tr Network 1 52 II Bililear BC Network 156

References

Related documents

3 Collective bargaining is defined in the ILO’s Collective Bargaining Convention, 1981 (No. 154), as “all negotiations which take place between an employer, a group of employers

Women and Trade: The Role of Trade in Promoting Gender Equality is a joint report by the World Bank and the World Trade Organization (WTO). Maria Liungman and Nadia Rocha 

Harmonization of requirements of national legislation on international road transport, including requirements for vehicles and road infrastructure ..... Promoting the implementation

China loses 0.4 percent of its income in 2021 because of the inefficient diversion of trade away from other more efficient sources, even though there is also significant trade

One-way analysis variance for pharmacokinetic parameters and PROC GLM (procedure general linear model) followed by Dunnett's t and t test (parametric test) and

This system includes Non-invasive active EEG electrodes, band pass and band stop filters, instrumentation amplifiers, analogue to digital converters, microcontroller

erbium-doped fiber amplifiers (EDFAs), Raman amplifiers, or parametric amplifiers are used to restore the signal quality. Usually the process of amplification is accompanied with

Keywords: Finite Element Method, Woven fiber composite, Vibration, Stability, Parametric instability, Natural frequency, Critical Buckling load, Excitation Frequency,