System to the inputs

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Reference no: EM13838294

Problems: 1. An LTI system whose response to the signal x(t) below is the signal y(t) below. Determine and sketch carefully the response of the system to the inputs xa(t) and xb(t) below using LTI properties.

2047_LTI properties.jpg

2. Convolve the following digital signals

1066_digital signals.jpg

3. Let

x(n) = δ(n) + δ(n - 1) + δ(n -2)

h(n) = δ (n) + δ(n - 1) + δ(n - 2) + δ (n - 3)

(a) Compute and plot

yla(n) = x(n)*h(n)

(b) Compute and plot

ylb(n) = x(n + 2)*h(n)

Remember to show your work.

4. a) Using unit step notation, write the equation for x(t) and h(t) below

625_unit step notation.jpg

b) Calculate the convolution y(t) = x(t)*h(t) for the signals in (a).

Reference no: EM13838294

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