A discrete-time system is defined by the following difference equation: <?xml:na

Question

A discrete-time system is defined by the following difference equation: <?xml:namespace prefix = o />

Using Z-Transform to find an answer to the following questions.

a)      Find the zero input response if y[-1]=0 <?xml:namespace prefix = v /> and y[-2]=0.

b)     What is the response of this system to the following input?

c)      Is this system stable? Why?

A discrete-time system is defined by the following difference equation: y[n] - 5/6y[n-1] + 1/6y[n - 2] = 1/6x[n-1] Using Z-Transform to find an answer to the following questions. Find the zero input response if y[-1] = 0 and y[-2] = 0. What is the response of this system to the following input? x[n] = delta[n - 1] + delta[n] Is this system stable? Why?

Explanation / Answer

In DSP we usually deal with discrete-time signals or, in another words, sequences of numbers, that are the result of the sampling of a, in general, real, continuous signal. Let

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