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 Ke^st will be a decaying exponential if s <

consider the following as regards cumulative disribution function F(x)

1. 0 ≤ F(x) ≤ 1
2. F(- ∞) = 0
3. F(∞) = 1
4. F(x₁) ≤ F(x₂) If x₁ < x₂

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

Energy density function is always

The integral of k u(t) is

The integral of k u(t) is

The units of F(jω) are volt-seconds.

Energy density function is always

The integral of k u(t) is

Following is a reason of distortion in communication system

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

Fourier transform of the unit step function (i.e., u(t) = 1 for t ≥ 0 and u(t) = 0 for t <is

The units of F(jω) are volt-seconds.

Energy density function is always

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 =

If and k > 0
X(z) = - In (1 - z^-1) with 1 < |z|

Fourier transform of the unit step function (i.e., u(t) = 1 for t ≥ 0 and u(t) = 0 for t <is

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 - t_d ++ x(t - t_d) + 0.5 x(t - t_d + 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 e^jω₀n x[n]?