An ac circuit has an impedance of (3 + johm for fundamental. The impedance for fifth harmonic is
The integral of unit step function is a ramp of slope unity.
Which one of the systems described by the following I/P - O/P relations is time invariant
Two rectangular waveforms of duration t1 and t2 seconds are convolved. What is the shape of the resulting waveform?
FIR digital filter having __________ stability than FIR filter.
Fourier transform of non periodic DT signal is
The derivative of unit step function is
The coefficients Fn in the exponential form of Fourier series are
If I (s) , initial value of i(t) is
L[c1f1(t) + c2f2(t)] =
Pick the odd one
A unit step function is used to represent the closing a switch in a constant voltage system.
State variable formulation is very suitable for computer solution.
Inverse Fourier transform of 'is
For a wave v = V 1m sin (ωt + θ1 ) - V3m sin (3ωt + θ3), the rms value is (0.5 V21m + 0.5 V23m)0.5
The function Ae(s + jω)t represens a rotating phasor having a magnitude increasing with time.
Half wave sysmmetry means f(t) = - f(t ± T/2).
If X(z) = 2az-1/(1 - az-1)3 and |a| < |z|, then the initial value x0 is
In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20°. The third harmonic component of current wave lags the corresponding voltage by an angle.
Which of following is recursive system?
A voltage v(t) which is a gaussian ergodic random process witha mean of zero and a varance of 4 volt2 is measured by a meter which first square and then reads its dc component. The reading will be
The Fourier transform of f(t) = cos ω0t is
A voltage v =sin ωt +sin 5 ωt is applied to a pure capacitor having capacitance of 1 μF. If ω =rad/sec, the current through the capacitor is
Pick out the odd one
X and Y are two random variables and Z = X + Y . Letmz, mz, mx, my represent mean of Z, X and Y. Then
F.T. of continuous non-periodic signal is
If ξ f(t) = F(jω), ξf(t-a) =
The sampling of a function f(l) = sin 2pf0t starts from a zero crossing. The signal can be detected if sampling time T is
The function shown in the figure
If f1(t) ↔ F1 (jω) and f2(t) ↔ F2(jω), then f1(t)↔ f2(t)
Parseval's theorem for energy tells that
The final value of is
A wave f(t) has half wave symmetry and time period equal to T. Then
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