In Laplace transform, multiplication by e^-at in time domain becomes

In the given figure 15.6 shows a series, R - C circuit fed by a current source i(t). There is an initial voltage v₀. across the capacitor. The system

Paley Wiener criterion for designing of filter is

The impulse response h[n] of a linear time invariant system is given as

If the input to the above system is the sequence e^jpn/4, then the output is

The impulse response h[n] of a linear time invariant system is given as

If the input to the above system is the sequence e^jpn/4, then the output is

If f(k) ↔ F(z), then kⁿ f_k ↔

If I (s) , the final value of i(t) is

The analog signal given below is sampled bysamples per second for m(t) = 3 sinpt + 2 sinpt then folding frequency is

If £[f(t)] = F(s), then £[f(t - T)] =

If v(t) is a time varying voltage, is

If is the Laplace transform of f(t) then f(0⁺) is

Z transform is a non-linear operation.

In Laplace transform, multiplication by e^-at in time domain becomes

If I (s) , the final value of i(t) is

The period of the function cos is

If is the Laplace transform of f(t) then f(0⁺) is

As per time displacement theorem in Laplace transformation, displacement in the time domain by T becomes

If I (s) , the final value of i(t) is

If I (s) , the final value of i(t) is

If I (s) , the final value of i(t) is

Z transform is a non-linear operation.

Which one is a linear system?

A voltage wave v =+sin ωt + 7.5 sin 3 ω(t) is applied to a series combination of two elements. The current is i = 5 sin (ωt + 20°) + 1.5 sin (3ωt + 10°). The elements are

If f(t) is in volts, then F(jω) is in

If F(t) = δ(t - a), F(s)=

X and Y are two random variable and Z = X + Y. Let σ_x², σ_y² and σ_z² be variance of X, Y and Z. Then

If f=0

Fourier transform of an external exponential e^jW0t

If X(z) = (1 - az^-1), and |a| < |z|, the initial value x₀ is

Which one most appropriate dynamic system?

A voltage V(t) which is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt² is measured by a true rms meter. The reading will be

L [f(t - a)] = F(jω) e^-jωa

When a complex voltage wave is applied to a capacitor the resulting current wave is more distorted than the voltage wave.

Fourier transform is defined for

The property is not valid for basic singularity function is

Which one most appropriate dynamic system?

If i =+cos 500t - 3.5 sint, then in amplitude phasse form i =

The integral of a unit impulse is

An energy signal has G(f) =Its energy density spectrum is

The integral of k δ(t) is

The units of the spectrum obtained be Fourier transforming the covariance function of a stationery Stochastic Process is

If x_k = a^k and k < 0
X(z) = - (1 - az^-1)^-1 with |z| < |a|

Magnitude Plot of a Composite signal x(t) = e^2jt + e^3jt is

Assertion (A): The conditions under which it is possible to write Fourier series of a periodic function are called Drichlet conditions.

Reason (R): If f(t) = - f(- t), it is refereed to as odd symmetry.

The ROC of sequence x[n] = (0.8)ⁿ ∪[n] + (0.4)ⁿ ∪[n]

The real part of complex frequency s corresponds to oscillations.

The z-transform of sequence x[n] = δ(n) is

For Binomial Distribution

Two rectangular waveforms of duration t₁ and t₂ seconds are convolved. What is the shape of the resulting waveform?

The function A e^st where s = s + jω represents