(a) Is the system in Figure linear for a given choice of T? If so, provide a brief argument...

Question

(a) Is the system in Figure linear for a given choice of T? If so, provide a brief argument demonstrating that it satisfies linearity. If not, provide a counterexample.
(b) Is the system in figure time invariant for a given choice of T? If so, provide a brief argument demonstrating that it satisfies time invariance. If not, provide acounterexample.

David · Accepted Answer

(a) Yes, the system is linear because each of the subblocks is linear. The C/D step 
is defined by    cx n x nt , which is clearly linear. The DT system is an LTI system. 
The D/C step consists of converting the sequence to impulses and of CT filtering, 
both of which are linear.
(b) No,

(a) Is the system in Figure linear for a given choice of T? If so, provide a brief argument demonstrating that it satisfies linearity. If not, provide a counterexample. (b) Is the system in figure...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment