Chapter 6, Problem 6.1P

What is the fundamental concept of Fourier theory?

To determine

To discuss: The fundamental concept of the Fourier theory.

Explanation of Solution

According to the Fundamental concept of the Fourier theory, all signals are the summation of the different sinusoidal signal which are of the different amplitude, frequencies and the phase.

The representation of the signal:

Referring to the above diagram, the signal 4 is the sum of the signal 2 and signal 3.

Whereas the signal 2 and signal 3 are the sinusoidal signal of the different amplitude and the different frequency.

Therefore, the signal 4 is the example of the Fourier theory.