) = 5 x(n) + 5 y(n – 1), For n20, y (-1) = 0, Find the unit-impulse response Determine the causality of the system Determine the stability of the system Write the output using the obtained impulse response.

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For the system:
y (n) = 5 x(n) + 5 y(n – 1), For n>0, y (-1) = 0,
1. Find the unit-impulse response
2. Determine the causality of the system
3. Determine the stability of the system
4. Write the output using the obtained impulse response.
5. For a step input x(n) = u(n), verify and compare the output responses for the first three
output samples using the difference equation and digital convolution sum
Transcribed Image Text:For the system: y (n) = 5 x(n) + 5 y(n – 1), For n>0, y (-1) = 0, 1. Find the unit-impulse response 2. Determine the causality of the system 3. Determine the stability of the system 4. Write the output using the obtained impulse response. 5. For a step input x(n) = u(n), verify and compare the output responses for the first three output samples using the difference equation and digital convolution sum
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