The even part of the signal x(n) = u(n)
x(n) = u(n)
x(n) = u(n)
Even part of x(n),
The value of discrete time signal at noninteger is :
The value of discrete time signal and nonintegers is zero.
The ROC of the signal x(t) = 4
Since there is no common ROC is ROC and laplace transform of x(t) does not exist.
The input and output relationship of a system is described as y(t) = ax + b, this system is linear
For a linear system equation 3 and 4 must be equal, so b = 0, whereas for any value of a.
Which of the following signal is an example of an anti causal signal
For an anti causal signal, the value of a signal must be zero for t > 0 so signal is e^{at }u(t)
The maximum phaseshift provided by the given system is
Determine the fundamental period of x(n) =
Consider a signal x(t) = 4 rect (t/6) and its Fourier  transform is x(ω). Determine the area under the curve in the ωdomain.
If the Fourier transform of x(t) is x(ω), then determine the Fourier transform of x(atb)
A pole zero pattern of a certain filter is shown in the figure. The filter must be
Since locations of poles and zeros are mirror image to each other about vertical axis, so it is an all pass filter
Determine the laplacetransform of signal x(t) shown in figure
Determine the total energy of x(t) = 12 Sin (6t)
x(t) = 12 Sinc (6t)
So, x(t) = 2 rect (f/6)
According to Parsvell's Theorem,
Determine the bandwidth of the signal x(t) = e^{at} u(t), so that it contains 90% of its total energy.
Determine the output y(t) for an input x(t) = e^{2t} u(t), if the step response of the system is t u(t).
Simplify the following expression:
δ(t) * u(t) * e^{t/2} u(t)
Consider the analog signal x(t) = 3 Cos 100πt. This signal is sampled with a frequency of 75 samples per second and at the reconstruction side an ideal LPF having cutoff frequency is 30Hz is used. Determine the frequency component at the output of filter.
The input and output relationship of a system is given as,
It is the inputoutput relationship of an accumulator.
For any value of n, the output y(n) is depends only on the previous and present input
So it is causal.
It is also liner It is unstable system. Because the output is not bounded for the bounded input.
A signal x(t) = 2 (1  Cos2πt) is sampled with a sampling frequency of 10 Hz. Determine the ztransform of sampled signal.
Given,
Determine the ROC of its ztransform.
ROC : Z > 1/3
If a signal f(t) has energy E, the energy of the signal f(2t) is equal to
The correlation between two signals x_{1}(t) and x_{2}(t) is 6. If average power of x_{1}(t) is 10 and x_{2}(t) is 8.
Then determine the power of x_{1}(t) + x_{2}(t)
Total energy is given as,
E = E1 + E2 + 2 R_{x} (τ)
= 10 + 8 + 2 × 6
= 30
, the coefficient of term et in f(t) will be :
S_{1} : δ(n) is an energy signal having energy is 1.
S_{2} : u(n) is a power signal having power is 1/2.
Which of the above is/are correct?
Energy of the signal is given as
The input and output relationship of a system is given as,
The system is :
Determine the impulse response of the inverse system, if the impulse response of the system is u(n).
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