UPPCL AE EE: Signals & Systems Quiz 1

Which of the following is a non-causal system?

The signal  is a periodic signal with a period of:

Consider the following relations :

1) x₁(n) * x₂(n) = x₂(n) * x₁(n)

2) x₁(n) * [x₂(n) * x₃(n)] = [x₁(n) * x₂(n)] * x₃ (n)

3) x₁(n) * [x₂(n) + x₃(n)] = [x₁(n) * x₂(n)] + [x₁(n) * x₃(n)]

If the symbol ‘*’ indicates the convolution then which of the above relations are correct?

The graph represents a signal defined as:

The signal that remains the same under time scaling operation on it is

If the energy of the signal x(t) is 25 J. Then the energy of y(t) = 5x(5t) is:

Integration of unit ramp function gives

Determine the frequency of the periodic waveform shown here.

The waveform of the signal

The energy of the signal

f(t) = 2 u(t + 1) – 4 u(t) + 2 u(t – 1) is