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hw3_sol - o>73>’o EC 65 “be 5 ”1 loo/vb...

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Question 2: prototype function p(u.v) = sincUuQ. 7W2) Question 2: F(u,v) % generating figures for question 2 clear all; [u v]=meshgrid([-2:0.05:2], [-2:0.05:2]); F = sinc((7/2)*u).'sinc((7/2)*v); figure(1); mesh(u,v,F); axis([-2.1 2.1 -2.1 2.1 0.511); xlabel('u'); ylabeW): title(‘Quesiion 2: prototype function p(u.v) = sinc(7u/2, 7v/2)'); [u. v] = meshgrid([-20:O.5:20]. [-20:0.5:20]); F = (49/16)“sinc((u-v)./sqrt(32)).*sinc((u+v)./sqrt(32)); figure(2); mesh(u,v.F); xlabel('u'); yiabel('v'); tit|e('Quesiion 2: envelope function e(u,v) = (49116) * sinc((u-v)l4\surd{2}, (u+v)/4\surd{2})'); [u.v] = meshgrid([0:2:4], [022:41); sinc((u-v).lsqn(32)).'sinc((u+v).lsqrt(32)) [u,v] = meshgrid([-10:0.4:10], [-10:0.4:10]); F = zeros(size(u)); for k=-5:5 for I=-5:5 F = F + (49/16)'sinc((k-I)/sqrt(8))*sinc((k+i)/sqrt(8))‘sinc((7/2)‘(u-2'k))."sinc((7/2)‘(v-2'l)); end end figure(3) mesh(u.v.F); xlabel('u'); ylabel('v'); title('Question 2: F(u,v)'); ,\;u is 56. 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