Properties Of Fourier, Z And Laplace Transform

ASSIGNMENT#02 DIGITAL SIGNAL PROCESSING Name: MAJID YASEEN Reg#: FA09-BCE-075 ground level/ piece: BCE-5B Where commitment is not an act, But it is a habit. COMSATS wreak Of learning Technology, Abbottabad. All rights reserved. No take time attain of this assigning may be displayed, reproduced or distributed in exclusively number or by every means, without the prior pull in verbally liberty of the publisher. 1 Z substitute ------------(1) The Z understand as we have defined in Eq.01 is practically reffered to as Two sided or Bilateral z alter. Fourier trans signifier The Fourier transform of a sequence is defined as; As z is a Complex variable, so more largely we dismiss write; z=rejw -------------(2) All rights reserved. No spotting of this designation may be displayed, reproduced or distributed in each form or by any means, without the prior publish consent of the publisher. 2 Obviously for for r=1, Eq.02 r educes to fourier transform of x[n]. Laplace transform All rights reserved. No part of this Assignment may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher. 3  circuit board OF THE PROPERTIES OF FOURIER AND Z TRANSFORMS. Signal Fourier interpret X(ejw)=?n=?x[n]e- Z Transform X(Z)=?n=?x[n]z-n n=-? x[n] s.no.

y[n] jwn n=-? Y(ejw))=?n=?y[n]e- Y(Z)= ?n=?y[n]z-n jwn n=-? n=-? 1 2 3 4 5 6 linearity Time shifting Convolution speciality Time about turn Multiplication by an exponential function sequence Conjuga tion of complicated sequence Ax[n]+By[n]! X[n-no] x[n]*y[n] nx[n] x[-n] ejwonx[n] zox[n] x*[n] Ax(ejw)+By(ejw) e-iwnox(ejw) x(ejw)y(ejw) jd x(ejw)/dw x(-ejw) x(ej(w-wo)) Ax(z)+By(z) z-nox[z] x(z)y(z) -zdx(z)/dz x(1/z) x(z/zo) X*(ejw) X*(*z) 7 All rights reserved. No part of this Assignment may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher. 4 TABLE OF THE...If you want to get a full essay, order it on our website: BestEssayCheap.com

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