GATE 2024 Signals & Systems Rank Booster Quiz 23

Consider a periodic signal x(t) described for one period as follows :

The trigonometric Fourier series representation of x(t) equals to

What is the value of coefficient a₃?

Consider a continuous time signal g(t) as

What is the energy for signal g(2t)?

Consider a periodic signal x(t) described for one period as

What is the sum of power contained by first, second and third harmonic of the signal?

A system with input x(t) and output y(t) is described by y(t) = x[g(t)], where g(t) = cos t. Choose the correct statement.

A discrete-time system with x(n) as input and output as y(n) is given by y(n) = (n – 3) x²(n – 3). Then the system having following statement:

1). System is non-linear.

2). System is time-varying.

3). System is stable.

4). system is not anticipatory.

Choose the correct statement.

Let x(n) = then the value of is ____.

A signal x(t) = e^–2t u(t) is passed through an ideal low pass filter with cut-off frequency 1rad/sec. What is the output energy?