For each of the following systems, y[n] denotes the output and x[n] the input. Test each system for linearity and shift-invariance and show the result. y[n] = 2x[n] +3 y[n] = x[n].sin(n+7) y[n] = [x[n]]² + 3x[n] – 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For each of the following systems, y[n] denotes the output and x[n] the input. Test each system for
linearity and shift-invariance and show the result.
y[n] = 2x[n] +3
y[n] = x[n] · sin (²7/₁
2π
(²/7/n + ²)
y[n] = [x[n]]² + 3x[n] – 1
Transcribed Image Text:For each of the following systems, y[n] denotes the output and x[n] the input. Test each system for linearity and shift-invariance and show the result. y[n] = 2x[n] +3 y[n] = x[n] · sin (²7/₁ 2π (²/7/n + ²) y[n] = [x[n]]² + 3x[n] – 1
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