Loading....
Coupon Accepted Successfully!

 

Solved Problems-4

Problems-4
Consider the following discrete-time system with input-output relationships as given,
 
y[n] = Re{x[n]}
 
Check whether the system is linear.
Solution
Let, the input be, Description: Description: Description: 2613.png
 
Therefore, the output is, Description: Description: Description: 2622.png
 
Now we consider scaling of the input x1[n] by a complex number, say, Description: Description: Description: 2630.png, i.e. the input is,
Description: Description: Description: 3088.png
 
Corresponding output is,
Description: Description: Description: 3097.png
 
But the scaled output for linear system is,
Description: Description: Description: 3070.png
 
As he two outputs are not same, the system is not linear.
 




Test Your Skills Now!
Take a Quiz now
Reviewer Name