Question: Consider the causal system y(n) = -a1y(n 1) + b0x(n) + b1x(n 1 ) Determine: (a) The impulse response (b) The zero-state step

Consider the causal system
y(n) = -a1y(n – 1) + b0x(n) + b1x(n – 1 )
Determine:
(a) The impulse response
(b) The zero-state step response
(c) The step response if y(-1) = A ≠ 0
(d) The response to the input x(n) = cos ω0n 0≤ n < ∞

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