78602. The Laplace transform of a unit step function is
78603. The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples wuthout distortion would be
78604. If ROC of x[n] is R1 then ROC of an x[n] is
78605. x = AX + Bu is a state equation.
78606. The standard deviation of a set of observations is the rms value of the deviation from the arithmetic mean.
78607. The function shown in the given Figure can be written as
78608. In a network V(s) = Z(s) I(s) where V(s), Z(s) and I(s) are Laplace transforms of v(t), z(t) and i(t). The voltage v(t) is
78609. For formation of state equations, resistance of the circuit
78610. In a Communication system, noise is most likely to affect the signal.
78611. If the sequence |xn|1/n converges, then the series converages absolutely is
78612. If X(a) is the z transform of kxk, then the z transform of k xk is
78613. A system is said to be static system, when present output depend upon
78614. The function f(t) = E[u(t - a) - u(t - b)] is
78615. If two mutually exclusive events A and B can happen in m and n ways, then either A or B can happen in (m + n) ways.
78616. The Laplace transform of sin ωt is
78617. If f(t) is an even function
78618. If average correlation between v1(t) and v2(t) is R12(t) and average correlation between v2(t) and v1(t) is R21(t) then
78619. A stationary process has
78620. Algebraic expression for z-transform of x[n] is X[z]... What is the algebraic expression of z-transform of ejω0n x[n]?
78621. The waveform shown in the given Figure can be written as
78622. Assertion (A): The function δ'(t - b) is equal to 0 for t ≠ bReason (R): A number of impulses spaced from one another form an impulse train.
78623. The range of values of a and b for which the linear time invariant system with impulse response. h(n) = an n ≥ 0 = bn n < 0 will be stable if
78624. If f(- t) = f(t), the function f(t) has only cosine terms.
78625. If a complex voltage wave is applied to a pure inductance, the resulting current wave is much smoother than the voltage wave.
78626. If a function f(t) is Laplace transformable, then
78627. In the given figure shows a periodic triangular wave. The Fourier series will have
78628. If xk is one sided to the right
78629. A discrete LTI system is non-casual if its impulse response is
78630. consider the following as regards cumulative disribution function F(x)0 ≤ F(x) ≤ 1F(- ∞) = 0F(∞) = 1F(x1) ≤ F(x2) If x1 < x2 Out of above which are correct?
78631. Assertion (A): Fourier series can also be written in exponential form.Reason (R): sin (n ωt) and cos (n ωt) can be expressed as sum or difference of exponentials.
78632. A number of impulses spaced fron one another form an impulse train.
78633. In a complex wave, the negative half of the wave is a reproduction of the positive half wave. Then
78634. If and k > 0 X(z) = - In (1 - z-1) with 1 < |z|
78635. If f(t) is an odd function
78636. Out of the three transforms viz. Z-transform, Laplace transform and Fourier transform
78637. In the representation f(t) = the set of complex coefficient Fn is the frequency spectrum of f(t)
78638. The integral of k u(t) is
78639. Which one of following is a stataic system?
78640. The impulse response of the DT - LTI system is given below Check whether the system is StableCasualDynamic.
78641. If R(t ) is autocorrelation of a waveform v(t) and R(0) is autocorrelation for t = 0, then
78642. Assertion (A): Impulse function is an important function in network analysis.Reason (R): Convolution integral enables us to find the response of a network to an arbitary input in terms of the impulse response.
78643. For the single rectangular pulse of the given figureF(jω) = [Ad sin (ωd/2)]/(ωd/2).
78644. The total area under the probability distribution curve is
78645. Which one of following is correct condition to check the stability of system?
78646. The inverse Fourier transform of the function F(ω) = is
78647. Let f1(t) = G1(t) + 4, f2(t) = G2(t) + 3. If G1(t) and G2(t) are uncorrected then the correlation between f1(t) and f2(t) are
78648. If p is the probability of success and q is the probability of failure, then the probability that there are r successes in n trails is
78649. A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where The resulting signal is then passed through on ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would me
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