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A system is described by the difference equation
y [n] = x[n] – x[n – 2] + x[n – 4] – x[n – 6]
The impulse response of system is
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- δ[n] – 2δ[n + 2] + 4δ[n + 4] – 6δ[n + 6]
- δ[n] + 2δ[n – 2] – 4δ[n – 4] + 6δ[n – 6]
- δ[n] – δ[n – 2] + δ[n – 4] – δ[n – 6]
- δ[n] – δ[n + 2] + δ[n + 4] – δ[n + 6]
Correct Option: C
H(z) = Y X z z b g b g = (1 – z – 2 + z – 4 – z – 6)
| H(z) = | = (1 - 2z-1 + z-4 - z-6 | |
| X(z) |
⇒ h[n] = δ[n] – δ[n – 2] + δ[n – 4] – δ[n – 6]
