Properties Of Fourier, Z And Laplace Transform

ASSIGNMENT#02 DIGITAL SIGNAL PROCESSING Name: MAJID YASEEN Reg#: FA09-BCE-075 build/ piece: BCE-5B Where commitment is not an act, But it is a habit. COMSATS name Of learning Technology, Abbottabad. All rights reserved. No take time come to of this assigning may be displayed, reproduced or distributed in all(a) number or by every means, without the prior spend a penny verbally liberty of the publisher. 1 Z substitute ------------(1) The Z qualify as we have defined in Eq.01 is a lot reffered to as Two sided or Bilateral z translate. Fourier trans variance The Fourier transform of a sequence is defined as; As z is a Complex variable, so more by and large we dismiss write; z=rejw -------------(2) All rights reserved. No while of this assigning may be displayed, reproduced or distributed in any(prenominal) form or by any means, without the prior pen permission of the publisher. 2 Obviously for for r=1, Eq.02 redu ces 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  put off OF THE PROPERTIES OF FOURIER AND Z TRANSFORMS. Signal Fourier qualify 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 specialization 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 th! e publisher. 4 TABLE OF THE...If you want to get a colossal essay, order it on our website: BestEssayCheap.com

If you want to get a full essay, visit our page: cheap essay