In the state equation x = AX + Bu is a n x m matrix.
A 1 kHz sinusoidal signal is ideally sampled atsamples/sec and the sampled signal is passed through an ideal low pass filter with cut off frequencyHz. The output signal has the frequency.
Principle of superposition is applicable to
The function (sin x)/x
A trigonometric series has
For the differential equation (D3 - D2 + D -[y(t)] = 0 the root of auxiliary equation are
The signal x(t) = A cos (ω0t + φ) is
A voltage wave containingthird harmonic is applied to a scries R-L circuit. The percentage third harmonic content in the current wave will be
It f(t) is an odd function, the coefficients Fn in the exponential form of Fourier series
Choose the function f(t), - ∞ < t < + ∞, for which a Fourier series cannot be defined
A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such thatv(t)=m(t) cos 2pfctIf Fourier transform of m(t) is M(f), Fourier transform of v(t) will be
A signal f(t) = cos 10pt + 3 cos 4pt is instantaneously sampled. The maximum allowable value of sampling interval Ts in sec is
The range of value "a" for which system will be stable. If impulse response of DT system is = an ∪[n]
Which of the following represents a stable system?
If sequence y(n) = x(-n) then it is
If a number of odd functions are added, the resultant sum is
The DTFT of x(n) = δ(n) will be
If a sequence is causal then ROC is (where a is any number)
The auto correlation of a sampling function is a
The inverse Fourier transform of δ(t) is
Which one of the following is the correct statement of the system characterized by the equation y(t) = ax(t) + b?
A rectangular pulse train s(t) is shown in figure is convolved with the signal cos2(4p x 103t). The convolved signal will be a
A signum function is
If f(t) ↔ F(jω), and f(t) is real, then
A gate function which occurs at t = t0 and lasts for duration T can be written as
Assertion (A): The response of a network to an impluse is determined only by the parameters of the network.
Reason (R): If f(t) is a unit parabolic function, its Laplace transform is 1/s3
A voltage wave havingfifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be
A voltage V(t) is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt2. If it is measured by a dc meter. The reading will be
A first order system will never be able to give a __________ response
If a function has only cosine terms, it must satisfy the equation
In what range should Re(s) remains so that Laplace transform of the function e(a + 2)t + 5 exists?
Which one is a causal system?
The signal defined by the equations f(t) = 0 for t <f(t) = E for 0 ≤ t ≤ a and f(t) = 0 for t > a is
A signal g(t) = A then g(t) is a
Assertion (A): δ(t - b) is an impulse occuring at t = b
Reason (R): Intergal of unit impulse gives unit step function.
If transfer function of a system is H(z) = 6 + z-1 + z-2 then system is
δ(t) is a
Auto correlation for t = 0 is equal to
Which one of the following rules determines the mapping of s-plane to z-plane?
If the poles of H(z) are at
Double integration of a unit step function would lead to
The Fourier series of an odd periodic function contains
The analog signal m(t) is given below m(t) = 4 cospt + 8 sinpt + cospt, the Nyquist sampling rate will be
If autocorrelation sequence is Rc(n) = then what will be energy of sequence?
If a signal g(t) has energy E, then the energy of the signal g(2t) is equal to ...
The analog signal given below is sampled bysamples per second for m(t) = 3 sinpt + 2 sinpt then folding frequency is
If f(t) = A d(t - a), F(s) is
If £[f(t)] = F(s), then £[f(t - T)] =
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