GATE 2021 : Signals & Systems Rapid Mini Mock (App update required to attempt this test)

A system defined by y(n) = is an example of

The fundamental period of discrete time signal is

For a signal x(t) = u(t + 2) – 2u(t) + u(t – 2) the waveform is:

The impulse response of a system is . The difference equation representation for this system is

Let the impulse response of one system is given as. The impulse response of second system which is connected in parallel to such that it is making the whole system memory-less is

Consider the following integral the value of I is ______.

What is the convolution of x₁ (t) =sin3t u(t), x₂(t) =cos2t u(t)

For the inter connected system shown in figure, if h₁(t) = h₂(t) = 5(t) and h₃(t) = h₄(t)= h₅(t) = u(t) , then overall impulse response of the system is ________ u(t)

For the signal X(t) =

The ratio of power content in 1^st harmonics and 8^th harmonics is _______?

Find the cosine representation Fourier series for the signal shown in figure.

The Fourier transform of   then Fourier transform of  is

Consider a periodic signal x(t) = rect(t – 1/2) with time period 'T' = 2. Then the power in the first four harmonics is _____ W.