39 Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined by the following two properties: 1. y[n]-ay[n 1]-x[n] 2. y[0] -1 (a) Determine whether the system is time invariant (b) Determine whether the system is linear (e) Assume that the difference equation (property 1) remains the same, but the value y[0] is specified to be zero. Does this change your answer to either Part (a) or Part (b)?

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2.39
Consider a system with input x[n] and output y[n]. The input-output relation for the
system is defined by the following two properties:
1. y[n]-ay[n 1]-x[n]
2. y[0] -1
(a) Determine whether the system is time invariant
(b) Determine whether the system is lincar
(c) Assume that the difference equation (property 1) remains the same, but the value
y[0] is specified to be zero. Does this change your answer to either Part (a) or Part
(b)?
Transcribed Image Text:2.39 Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined by the following two properties: 1. y[n]-ay[n 1]-x[n] 2. y[0] -1 (a) Determine whether the system is time invariant (b) Determine whether the system is lincar (c) Assume that the difference equation (property 1) remains the same, but the value y[0] is specified to be zero. Does this change your answer to either Part (a) or Part (b)?
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