A discrete time linear time invariant system has the system output y[n]=2δ[n−1]−δ[n−2]+δ[n−3] due to the input f[n]=δ[n+1]. The unit impulse response of the system is _____
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The output \( y[n] \) of an LTI system can be expressed as the convolution of the input \( f[n] \) with the system's impulse response \( h[n] \): \[ y[n] = f[n] * h[n] \] Show more…
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3.18. Find the unit-impulse response for each of the following linear systems. a. y(n) = 0.2x(n) + 0.3x(n - 2) for n > 0, y(-2) = 0, y(-1) = 0 b. y(n) = 0.5y(n - 1) + 0.5x(n) for n >= 0, y(-1) = 0 c. y(n) = 0.6y(n - 1) - x(n - 1) for n >= 0, y(-1) = 0, y(-1) = 0
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