Question

32. If the unit-sample response of a linear shift-invariant system is given by: h $[n] = 3 \delta[n + 2] + 2 \delta[n - 1] + 5 \delta[n - 6]$, then system function, H(z), is a. H(z) = 3 $z^2 + 2z^{-1} + 5z^{-6}$ b. H(z) = $z^2 + z^{-1} + z^{-6}$ c. H(z) = 2 $z^2 + 3z^{-1} + 5z^{-6}$ d. H(z) = 3 $z^2 + 5z^{-1} + 5z^{-6}$

          32. If the unit-sample response of a linear shift-invariant system is given by:
h $[n] = 3 \delta[n + 2] + 2 \delta[n - 1] + 5 \delta[n - 6]$, then system function, H(z), is
a. H(z) = 3 $z^2 + 2z^{-1} + 5z^{-6}$
b. H(z) = $z^2 + z^{-1} + z^{-6}$
c. H(z) = 2 $z^2 + 3z^{-1} + 5z^{-6}$
d. H(z) = 3 $z^2 + 5z^{-1} + 5z^{-6}$

32. If the unit-sample response of a linear shift-invariant system is given by:
h [n] = 3 δ[n + 2] + 2 δ[n - 1] + 5 δ[n - 6], then system function, H(z), is
a. H(z) = 3 z^2 + 2z^-1 + 5z^-6
b. H(z) = z^2 + z^-1 + z^-6
c. H(z) = 2 z^2 + 3z^-1 + 5z^-6
d. H(z) = 3 z^2 + 5z^-1 + 5z^-6

Added by Teresa S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/27/2023

Step 1

Step 1: The unit-sample response h[n] is given as h[n]=3\delta [n+2]+2\delta [n-1]+5\delta [n-6]. Show more…

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If the unit-sample response of a linear shift-invariant system is given by: h[n]=3delta [n+2]+2delta [n-1]+5delta [n-6], then system function, H(z), is a. H(z)=3z^(2)+2z^(-1)+5z^(-6) b. H(z)=z^(2)+z^(-1)+z^(-6) c. H(z)=2z^(2)+3z^(-1)+5z^(-6) d. H(z)=3z^(-2)+5z^(-1)+5z^(-6) 32. If the unit-sample response of a linear shift-invariant system is given by a.H(z=3z+2z1+5z6 b.H(z=z+z-1+z-6 g29+1Z8+2Z7=zH0 d.H(z=3z2+5z1+5z-6