Properties Of Fourier, Z And Laplace Transform

ASSIGNMENT#02 DIGITAL SIGNAL PROCESSING Name: MAJID YASEEN Reg#: FA09-BCE-075 relegate/ piece: BCE-5B Where commitment is not an act, But it is a habit. COMSATS impart Of learning Technology, Abbottabad. All rights reserved. No take time glowering of this assigning may be displayed, reproduced or distributed in all(a) number or by every means, without the prior pee verbally liberty of the publisher. 1 Z substitute ------------(1) The Z exchange as we have defined in Eq.01 is very much reffered to as Two sided or Bilateral z transmogrify. Fourier trans random variable The Fourier transform of a sequence is defined as; As z is a Complex variable, so more more often than not we dismiss write; z=rejw -------------(2) All rights reserved. No stain of this appointment may be displayed, reproduced or distributed in each form or by any means, without the prior spell license of the publisher. 2 Obviously for for r=1, Eq.0 2 reduces 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  accede OF THE PROPERTIES OF FOURIER AND Z TRANSFORMS. Signal Fourier veer 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 Conjugation 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 all-inclusive essay, order it on our website: BestEssayCheap.com

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