UPPCL AE EE: Signals & Systems Quiz 4

If the signal  and , and a signal made by x₁(n) and x₂(n). this is  so fundamental time period of the signal x(n) is

The signal x(t) has a time period of 2 and the following Fourier coefficients

.

Then x(t) is given by

The Fourier transform of a function g(t) is given by , then function g(t) is given by

In the Fourier transform, if the time domain signal x(t) is real and even, then the frequency domain signal X(jΩ) will be:

Let H(e^jω) be the frequency response of a discrete-time LTI system, and H₁(e^jω) be the frequency response of its inverse. Then,

The exponential Fourier series coefficient C₀ of x(t) = sin² t is:

What will be Fourier transform, of e^–a|t| for a > 0.

Inverse fourier transform of  is:-

For half wave symmetry, the necessary condition is:-