Two discrete time systems with impulse responses h1[n] = δ[n - 1] and h2[n] = δ[n - 2] are connected in cascade. The overall impulse response of the cascaded system is
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The ACF of a rectangular pulse of duration T is
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Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is
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Let x(t) ↔ X(jω) be Fourier Transform pair. The Fourier Transform of the signal x(5t - 3) in terms of X(jω) is given as
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A 1.0 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular LPF with cut-off frequency of 1100 Hz, then the output of the filter contains
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The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a casual system?
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The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is
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Choose the function f(t), -∞ < t < ∞, for which a Fourier series cannot be defined?
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The Laplace transform of a function f(t) u(t), where f(t) is periodic with period T, is A(s) times the Laplace transform of its first period. Then
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The DFT of a vector [a b c d] is the vector [α β γ δ]. Consider the product
\left[ {p\,q\,r\,s} \right] = \left[ {a\,b\,c\,d} \right]\left[ {\begin{array}{*{20}{c}} a&b&c&d \\ d&a&b&c \\ c&d&a&b \\ b&c&d&a \end{array}} \right]
The DFT of the vector [p q r s] is a scaled version of
\left[ {p\,q\,r\,s} \right] = \left[ {a\,b\,c\,d} \right]\left[ {\begin{array}{*{20}{c}} a&b&c&d \\ d&a&b&c \\ c&d&a&b \\ b&c&d&a \end{array}} \right]
The DFT of the vector [p q r s] is a scaled version of
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The Laplace transform of a continuous-time signal x(t) is If the Fourier transform of this signal exists, then x(t) is
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A network consisting of a finite number of linear resistor (R), inducer (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form
The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?
The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?
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The complex envelope of the bandpass signal centered about is
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A signal x(t) has a Fourier transform X(ω). If x(t) is a real and odd function of t, then X(ω) is
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The power in the signal
is
is
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A 5-point sequence x[n] is given as
x[-3] = 1, x[-2] = 1, x[-1] = 0, x[0] = 5, x[1] = 1.
Let X(ejω) denote the discrete-time Fourier transform of x[n]. The value of
x[-3] = 1, x[-2] = 1, x[-1] = 0, x[0] = 5, x[1] = 1.
Let X(ejω) denote the discrete-time Fourier transform of x[n]. The value of
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The Fourier series representation of an impulse train denoted by
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Let Y(s) be the unit-step response of a causal system having a transfer function
That is, The forced response of the system is
That is, The forced response of the system is
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Consider the system shown in the figure below. The transfer function of the system is
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The impulse response of an LTI system can be obtained by
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