Properties Of Fourier, Z And Laplace Transform

ASSIGNMENT#02 DIGITAL SIGNAL PROCESSING Name: MAJID YASEEN Reg#: FA09-BCE-075 carve up/ piece: BCE-5B Where commitment is not an act, But it is a habit. COMSATS comprise Of learning Technology, Abbottabad. All rights reserved. No take time out of this assigning may be displayed, reproduced or distributed in altogether number or by every means, without the prior attain verbally liberty of the publisher. 1 Z substitute ------------(1) The Z convert as we have defined in Eq.01 is lots reffered to as Two sided or Bilateral z transmogrify. Fourier trans inning The Fourier transform of a sequence is defined as; As z is a Complex variable, so more principally we dismiss write; z=rejw -------------(2) All rights reserved. No part of this identification may be displayed, reproduced or distributed in any form or by any means, without the prior write permit of the publisher. 2 Obviously for for r=1, Eq.02 reduces to fou rier 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  plug-in OF THE PROPERTIES OF FOURIER AND Z TRANSFORMS. Signal Fourier diversify 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 distinction Time about turn Multiplication by an exponential sequence Conjugation of complicated sequence Ax[n]+By[n] X[n-n o] 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 all-embracing essay, order it on our website: BestEssayCheap.com

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