Home / Expert Answers / Electrical Engineering / consider-a-discrete-time-system-with-input-x-n-and-output-y-n-respectively-let-denote-the-op-pa856

(Solved): Consider a discrete-time system with input x[n] and output y[n], respectively. Let * denote the op ...



Consider a discrete-time system with input

x[n]

and output

y[n]

, respectively. Let * denote the operator taking convolution. (a)

(20%)

Show that this system is linear and time-invariant (LTI) if and only if

y[n]=x[n]^(**)h[n]

. where and

h[n]

stands for the impulse response of the system. (b)

(10%)

Given

h_(1)[n],h_(2)[n],h_(3)[n]

, show that

(h_(1)[n]^(**)h_(2)[n])^(**)h_(3)[n]=h_(1)[n]^(**)(h_(2)[n]^(**)h_(3)[n])

. (c)

(5%)

Based on (a) and (b), show that the serial interconnection of two LTT systems is also LTI.



We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe