Question: An echo system is defined by the input-output relationship y(1) =x(1) + 0.6x(1-3) a. Determine whether the system is linear (show your work). b. Is

 An echo system is defined by the input-output relationship y(1) =x(1)

+ 0.6x(1-3) a. Determine whether the system is linear (show your work).

An echo system is defined by the input-output relationship y(1) =x(1) + 0.6x(1-3) a. Determine whether the system is linear (show your work). b. Is the system memoryless? Why? c. Is the system causal? Why? d. Is the system BIBO stable? Why? e. Is the system time-invariant? Clearly show your work. f. Determine and sketch the output, if x(t) = u(t - 1) - u(t - 3) g. What is the impulse response of the system

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!