Time shifting property DTFT

I am suppose to verify the time shifting property of DTFT, by letting x(n) = random sequence uniformly distributed between [0,1] over 0 <= n <= 20 and y(n) = x(n-2). Following is my code, however the plot did not shift by delay of 2. Can anyone help to rectify? Thank you.

clc, clear all, close all;
x=rand(1,21);n=0:20;
k=0:20;w=(pi/20)*k;
X=x*(exp(-1i*pi/500)).^(n'*k);
y=x;m=n+2;
Y=y*(exp(-1i*pi/500)).^(m'*k);
Y1=(exp(-1i*2).^w).*X;
subplot(2,2,1);plot(n,abs(fftshift(X)));
subplot(2,2,2);plot(n,abs(fftshift(Y)));

Answer 1

[Santhana Raj]

I suppose this is what you want to do:

clc, clear all, close all;
x=rand(1,21);n=0:20;
k=0:20;w=(pi/20)*k;
X=x*(exp(-1i*pi/500*n'*k));
y=x;m=n+2;
Y=y*(exp(-1i*pi/500*n'*k));
subplot(1,2,1);plot(n,abs(X));
subplot(1,2,2);plot(m,abs(Y));

[Ch My]

Thank you, but after trying i still did not see y(n) being delayed by 2.

Answer 2

[Sk Group]

Time Shifting in MATLAB (Code + Output)

For detailed post and complete code visit: https://www.swebllc.com/time-shifting-in-matlab-code-output/

Answer 3

[Sk Group]

Time Shifting Property in MATLAB Complete Prove (Code + Output)

Time shifting Prove: DFT{x(n-l)} = X(K)e^(-j(2*pi/N)kl

For detailed post and complete code visit: https://www.swebllc.com/time-shifting-property-in-matlab-complete-prove-code-output/