An LTI system with impulse response h1 [n] = -2( ( frac{1}{4})^n ) u[n – McqOptions

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1.	An LTI system with impulse response h₁ [n] = -2( ( frac{1}{4})^n ) u[n] is connected in parallel with another causal LTI system with impulse response h₂ [n]. The resulting interconnection has frequency response H (e^j) = ( frac{-12+5e^{-j }}{12+7e^{-j }+e^{-j2 }} ). Then h₂[n] is ___________
A.	( ( frac{1}{3} ))<sup>n</sup> u[n-1]
B.	( ( frac{1}{3} ))<sup>n</sup> u[n]
C.	( ( frac{1}{4} ))<sup>n</sup> u[n]
D.	( ( frac{1}{4} ))<sup>n</sup> u[n-1]
Answer» C. ( ( frac{1}{4} ))<sup>n</sup> u[n]

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