(a) The impulse response h n of a linear time invariant system is known to be zero, except in the interval N 0 n N 1 The input x n is known to be zero, except in the interval N 2 n N 3 As a result, the output is constrained to be zero, except in some interval N 4 n N 5 Determine N 4 and N 5 in terms of N 0 , N 1 , N 2 , and N 3 (b) If x n is zero, except for N consecutive points, and h n is zero, except for M consecutive points, what is the maximum number of consecutive points for which y n can be nonzero

Question: (a) The impulse response h[n] of a linear time-invariant system is known to be zero, except in the interval N 0 n N

(a) The impulse response h[n] of a linear time-invariant system is known to be zero, except in the interval N₀≤ n ≤ N₁. The input x[n] is known to be zero, except in the interval N₂ ≤ n ≤ N₃. As a result, the output is constrained to be zero, except in some interval N₄≤ n ≤ N₅. Determine N₄and N₅ in terms of N₀, N₁, N₂, and N₃.

(b) If x[n] is zero, except for N consecutive points, and h[n] is zero, except for M consecutive points, what is the maximum number of consecutive points for which y[n] can be nonzero?

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