Use time invariance to determine the impulse response of the following first order system:
y[n]= 0.5y[n-1] + 5x[n-7]
Assume that the system is at rest for n<0. Plot the resulting signal h[n] as a function of n. Pay attention to where the nonzero portion of the impulse response begins.
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![images - Use time invariance to determine the impulse response of the following first order system: y[n]= 0.5y[n-1] + 5x[n-7] Assume that the system is at rest for n<0. Plot the resulting signal h[n] as a function of n. Pay attention to where the nonzero portion of the impulse response begins.](https://i0.wp.com/hwmadeeasy.com/wp-content/uploads/2020/04/images.jpg?w=1100&ssl=1 "Use time invariance to determine the impulse response of the following first order system: y[n]= 0.5y[n-1] + 5x[n-7] Assume that the system is at rest for n<0. Plot the resulting signal h[n] as a function of n. Pay attention to where the nonzero portion of the impulse response begins.")
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