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Army Institute of Technology, Pune Department of Electronics & Telecommunication Engg. Tutorial Plan (16th June 2014 to 30th Sept 2014) S.E (E&TC) Semester-II Name of faculty: Amit Govindwani 204181: Control Systems (Tutorial Assignments) Teaching Scheme: Tutorial: 1hr/ week Tutorial No. Name of the topic IA Sketch and write defining mathematical expression for the following signals in CT and DT a) Unit Step. b) Rectangular c) Exponential d) Signum e) Sine f) Sinc g) Triangular h) Unit Impul
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  Army Institute of Technology, PuneDepartment of Electronics & Telecommunication Engg. Tutorial Plan (16  th  June 2014 to 30 th  Sept 2014) S.E (E&TC) Semester-   Name of faculty: Amit Govindwani  20411! ontrol #ystems $Tutorial Assignments% Teaching #cheme! Eamination #cheme! Tutorial! 1hr' (ee)Term (or)! 2* +ar)sTutorialo.ame of the topic Date $-atch (ise%-1 -2 -  IASketch and write defining mathematical expression for the following signals in CT and DT a) Unit Step. b) Rectanglar  c) !xponentiald) Signm e) Sine f) Sincg) Trianglar h) Unit Implse.i) Unit Ramp  I Classif# and find the respecti$e $ale for the abo$e signalsa) %eriodic & 'on %eriodic b) !nerg# & %ower &'either   IIA Take an# two CT and DT signals and perform the following operation a)Amplitde scaling  b)Additionc)(ltiplication d)Differentiatione) Integration accmlator for DT)f)Time scalingg)Time shifting and folding  II !xpress an# two s#stem mathematical expressions in inpt otpt relation form anddetermine whether each one of them isa)(emor# less b)Casalc)*inear d)Stablee)Time in$ariant f)In$ertible.  III !xpress an# two s#stem mathematical expressions in implse response form anddetermine whether each one of them is+  Tutorialo.ame of the topic Date $-atch (ise%-1 -2 - a)(emor# less+  b)Casal+ *inear+ c)Stable+ d)Time in$ariant+ e)In$ertible  I, !xpress an# two s#stem mathematical expressions in implse response form anddetermine whether each one of them is+ a)(emor# less+  b)Casal+ *inear+ c)Stable+ d)Time in$ariant+ e)In$ertible  , A) State and pro$e the properties of CT -orier Transform. ) Take rectanglar and sinc signal as examples anddemonstrate the applications of CT-T properties. C) Demonstrate the interpla# between the time and freenc# domain.  ,I A) State and pro$e the properties of CT *aplace Transform. ) Take an# example of a s#stem in time domain and demonstrate the application of *T in s#stem anal#sis.  ,II A -ind the following for the gi$en energ# signal a) Atocorrelation b) !nerg# from Atocorrelation c) !nerg# from definition d) !nerg# Spectral Densit# directl# e) !SD from Atocorrelation  ,II -ind the following for the gi$en power signala) Atocorrelation b) %ower from Atocorrelationc) %ower from definitiond) %ower Spectral Densit# directl#e) %SD from Atocorrelation ,IIIA) *ist and !xplain the properties of CD- / %D- ) -ind mean +mean sare + standard de$iation + $ariance of 0 Total Tutorial ! 0 -oo)s to /e use for numericals 1. 2atshiko 3gata+ (odern Control !ngineering+ -ifth !dition+ %4I *earning %ri$ate *imited+ 'ewDelhi+ 5616 5. I.7. 'agrath + (.8opal+ Control S#stems !ngineering+ -ifth !dition+ 'ew Age International %blishers+ 'ew Delhi+ 5669 Reference ooks
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