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Consider a linear, time-invariant system that has an impulse response of: {h[n]} = 12{δ[n−1]} + 12{δ[n+1]} a. Is the system causal? b. Is the system Bounded-input/Bounded-output stable? c. If the input signal is given by {f[n]} = 2{δ[n]} + {δ[n−1]} − {δ[n−2]} calculate and sketch the resulting output signal. d. What are the numerical values of the frequency response of the system at ω = 0 and ω = π?

Consider a linear, time-invariant system that has an impulse response of: {h[n]} = 12{δ[n−1]} + 12{δ[n+1]} a. Is the system causal? b. Is the system Bounded-input/Bounded-output stable? c. If the input signal is given by {f[n]} = 2{δ[n]} + {δ[n−1]} − {δ[n−2]} calculate and sketch the resulting output signal. d. What are the numerical values of the frequency response of the system at ω = 0 and ω = π?

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Consider a linear, time-invariant system that has an impulse response of:
{ h [ n ] } = 1 2 { δ [ n − 1 ] } + 1 2 { δ [ n + 1 ] }
a. Is the system causal? b. Is the system Bounded-input/Bounded-output stable? c. If the input signal is given by
{ f [ n ] } = 2 { δ [ n ] } + { δ [ n − 1 ] } − { δ [ n − 2 ] }
calculate and sketch the resulting output signal. d. What are the numerical values of the frequency response of the system at ω = 0 and ω = π ?

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