Q. Assertion (A): A half cycle of sine wave can be expressed as sum of sine wave and another sine wave shifted by T/2 where T is the time period.

Reason (R): The function u(t - t₀) - u(t - t₀ - T) is a gate function occuring at t = t₀ and of duration T.

View solution

Q. The function δ' (t-b) is

View solution

Q. The function sinc x is equal to

View solution

Q. In a oscillator, a sine wave generator starts at t = 0. It consist of

View solution

Q. For a periodic waveform, the power spectral density and correlation function form

View solution

Q. Assertion (A): Laplace transform can be used to evalute integrals.

Reason (R): Laplace transform can be used to solve differential equations.

View solution

Q. What about causality of the system transfer function of a discrete time system H(z) = z/(z-1)

View solution

Q. The energy of highest value of Autocorrelation of a function 100 cos 50 πt is

View solution

Q. If u is input, y is output and a, b are constants, the system y = au + b

View solution

Q. In RLC circuits the state variables generally selected are

View solution

Q. Auto correlation function

View solution

Q. Assertion (A): When a function f(t) is represented as exponential Fourier series, the set of complex coefficients Fn is called frequency spectrum of f(t)

Reason (R): Frequency spectrum is also called line spectrum.

View solution

Q. The area of an impulse is

View solution

Q. e^(-3t) is a

View solution

Q. If F(jω) is the Fourier transform of f(t), then

View solution

Q. Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.

Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

View solution

Q. An impulse train is

View solution

Q. For formation of state equations, the inductors and current sources

View solution

Q. If f(t) = 1, F(jω) =

View solution

Q. The power in the signal s(t) = 8 cos (20 π - π/2) + 4 sin (15 πt) is

View solution