Test: Signal & Systems- 3 - Electronics and Communication Engineering (ECE) MCQ

The input and output relationship of a system is described as y(t) = ax + b, this system is linear

Which of the following signal is an example of an anti causal signal

The maximum phase-shift 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 ω-domain.

If the Fourier transform of x(t) is x(ω), then determine the Fourier transform of x(at-b)

A pole zero pattern of a certain filter is shown in the figure. The filter must be

Determine the laplace-transform of signal x(t) shown in figure

Determine the total energy of x(t) = 12 Sinc (6t)

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 cut-off 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,

A signal x(t) = 2 (1 - Cos2πt) is sampled with a sampling frequency of 10 Hz. Determine the z-transform of sampled signal.

Given, 

 
Determine the ROC of its z-transform.

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

The correlation between two signals x₁(t) and x₂(t) is 6. If average power of x₁(t) is 10 and x₂(t) is 8.
Then determine the power of x₁(t) + x₂(t)

, the co-efficient of term e-t in f(t) will be :

S₁ : δ(n) is an energy signal having energy is 1.

S₂ : u(n) is a power signal having power is 1/2.

Which of the above is/are correct?

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).