How does Fourier series make it is a to represent periodic signals?

Explanation: Fourier series makes it easier to represent periodic signals as it is a mathematical tool that allows the representation of any periodic signals as the sum of harmonically related sinusoids. Sanfoundry Global Education & Learning Series – Signals & Systems.

What is the main purpose of Fourier analysis?

Fourier analysis is a type of mathematical analysis that attempts to identify patterns or cycles in a time series data set which has already been normalized. In particular, it seeks to simplify complex or noisy data by decomposing it into a series of trigonometric or exponential functions, such as sine waves.

Is Fourier Transform only for periodic functions?

As such, the summation is a synthesis of another function. The discrete-time Fourier transform is an example of Fourier series. A Fourier series, however, can be used only for periodic functions, or for functions on a bounded (compact) interval.

What is Fourier analysis of signals?

Shortly put, the Fourier analysis is the mathematical translation of a signal in time and its frequency decomposition.

What is Fourier series is it used for energy or power signals?

Fourier series analysis is performed to obtain the discrete spectrum representation of a given periodic signal (power signal) xp(t) which has finite periodic time To , finite average power and infinite energy, to describe its frequency components content (n/To), where n = 0, 1, 2, 3, 4, , by either using the real …

Where do we use Fourier series?

fourier series is broadly used in telecommunications system, for modulation and demodulation of voice signals, also the input,output and calculation of pulse and their sine or cosine graph.

Why Fourier series is important in engineering?

We use Fourier series to write a function as a trigonometric polynomial. Control Theory. The Fourier series of functions in the differential equation often gives some prediction about the behavior of the solution of differential equation. They are useful to find out the dynamics of the solution.