unit step is a
Fourier series is applicable for
The state equations are in the form
Assertion (A): In complex frequency s = σ + jω, the terms s and ω are nepar frequency and radin frequency.
Reason (R): If ω =the graph of Kest will be a decaying exponential if s <
consider the following as regards cumulative disribution function F(x)
The inverse response of a system h(n) = an∪(n) what is the condition for the system to be BIBO stable?
An excitation is applied to a system at t = T and the response in zero for -∞ < t < T. This system is
(SI - A)-1 = adj(sI - A)/det (sI - A)
The eign values of n x n matrix A are the root of the characteristic equation 1λI - AI = 0
A linear discrete time system has the char. equation z3 - 0.81z =the system is
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.
Out of the three transforms viz. Z-transform, Laplace transform and Fourier transform
A system has poles at 0.Hz, 1 Hz andHz, zeros at 5 Hz,Hz andHz. The approximate phase of the system response atHz is
Fourier transform F(jω) of an arbitrary signal has the property
A signal is x + f(t) where x is constant and f(t) is a power signal with zero mean value. The power of the signal is
Energy density function is always
A number of impulses spaced fron one another form an impulse train.
In a complex wave, the negative half of the wave is a reproduction of the positive half wave. Then
If the number of ways an event may result ins analysed into m successes and n failures, each equally likely to occur, the probability of success in a single trial is m( m + n)
The signumm function written as [sgn(t)] is defined as
The units of F(jω) are volt-seconds.
A pulse function can be represented as difference of two equal step functions.
The n state variables can be considered as n components of a state vector.
Following is a reason of distortion in communication system
The integral of k u(t) is
If n is the number of observations and r is the residue, the standard deviation σ =
Fourier transform of the unit step function (i.e., u(t) = 1 for t ≥ 0 and u(t) = 0 for t <is
If and k > 0 X(z) = - In (1 - z-1) with 1 < |z|
For Ergodic Process
Short circuit is the dual of open circuit.
The impulse response h[n] of a linear time invariant system is given by h[n] = ∪[n + 3 ] + ∪[n --2∪[n -7]. The above system is
A system with input x[n] and output y[n] is given as y[n] = (sin 5/6 pn) x(n) The system is
Assertion (A): A non-sinusoidal wave can be expressed in terms of sine waves of different frequencies which are multiples of the frequency of fundamental.
Reason (R): If negative half of a complex wave is a reproduction of the positive half, the even harmonics are absent.
Highest value of Autocorrelation of a functioncospt is
Which one condition is true to check the periodically for discrete time signal (where K is any integer, N is period, f0 is frequency of signal)
The output y(t) of a linear time invariant system is related to its input x(t) by the following equation y(t) = 0.5x(t - td ++ x(t - td) + 0.5 x(t - td + 7). The filter transfer function H(ω) of such a system is given by
Algebraic expression for z-transform of x[n] is X[z]... What is the algebraic expression of z-transform of ejω0n x[n]?
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