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

MCQOPTIONS

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 (ejω) = \(\frac{-12+5e^{-jω}}{12+7e^{-jω}+e^{-j2ω}}\). Then h2[n] is ___________
A.	(\(\frac{1}{3}\))n u[n-1]
B.	(\(\frac{1}{3}\))n u[n]
C.	(\(\frac{1}{4}\))n u[n]
D.	(\(\frac{1}{4}\))n u[n-1]
Answer» C.

Discussion

No Comment Found

Related MCQs

Given a real valued function y (t) with period T. Its trigonometric Fourier series expansion contains no term of frequency ω = 2π \(\frac{(2k)}{T}\); where, k = 1, 2….. Also no terms are present. Then, y(t) satisfies the equation ____________
The running integrator, given by y(t) = \(∫_{-∞}^∞ x(t) \,dt\) has ____________
The continuous time system described by the equation y(t) = x(t2) comes under the category of ____________
The Fourier series for the function f (x) = sin2x is ______________
X (ejω) = \(\frac{(b-a) e^{jω}}{e^{-j2ω}-(a+b) e^{jω} + ab)}\), |b|<1<|a|
The rms value of a rectangular wave of period T, having value +V for a duration, T1(<T) and –V for the duration, T-T1 = T2 is __________
A pulse of unit amplitude and width a, is applied to a series RL circuit having R = 1 Ω, L = 1H. The current I(t) at t = ∞ is __________
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 (ejω) = \(\frac{-12+5e^{-jω}}{12+7e^{-jω}+e^{-j2ω}}\). Then h2[n] is ___________
The system characterized by the differential equation \(\frac{d^2 y(t)}{t^2} – \frac{dy}{dt} – 2y(t) = x(t)\) is _____________
The CTFT of a continuous time signal x(t) = e-A|t|, A>0 is _________