51. The impulse response of a discrete time system is given by
h(n) = $$\frac{1}{2}$$ (δ[n] + δ[n - 2])
The magnitude of the response can be expressed as
h(n) = $$\frac{1}{2}$$ (δ[n] + δ[n - 2])
The magnitude of the response can be expressed as
52. The z-transform X(z) of a real and right-sided sequence x[n] has exactly two poles and one of them is at $$z = {e^{\frac{{i\pi }}{2}}}$$ and there are two zeros at the origin. If x(1) = 1, which one of the following is TRUE?
53. Which of the following systems is non-linear?
54. Which dirichlet's condition(s) is/are related to Fourier transform?
1. Function is absolutely integrable
2. Function must have finite extremas
3. Function has finite discontinuities
1. Function is absolutely integrable
2. Function must have finite extremas
3. Function has finite discontinuities
55. For a discrete LTI system, the impulse response is u[n]. What is its step response?
56. The Butterworth filter of order n is described by the magnitude squared of its frequency response given by $${\left| {{H_n}\left( {j\Omega } \right)} \right|^2} = \frac{1}{{\left[ {1 + {{\left( {\frac{\Omega }{{{\Omega _{\,C}}}}} \right)}^{2n}}} \right]}}.$$ The value of $$20\log \left| {{H_n}\left( {j\Omega } \right)} \right|$$ at $$\Omega = {\Omega _{\,C}}$$ is
57. Find periodicity of signal cos2πt, jsin3t
58. Which one of the following is the inverse z-transform of $$X\left( z \right) = \frac{z}{{\left( {z - 2} \right)\left( {z - 3} \right)}},\,\left| z \right| < 2?$$
59. A system function is $$H\left( s \right) = \frac{{V\left( s \right)}}{{I\left( s \right)}} = \frac{s}{{s + 3}},$$ the system is at rest for t < 0. i(t) = 2u(t) is an unit step. v(t) for t > 0 is given by
60. Consider reconstructing a sinewave of frequency $${f_m},$$ the sampling frequency needed is,
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