What are the applications of Fourier series?

The Fourier Series also has many applications in math- ematical analysis. Since it is a sum of multiple sines and cosines, it is easily differentiated and integrated, which often simplifies analysis of functions such as saw waves which are common signals in experimentation.

What is the use of Fourier series in electrical engineering?

Fourier Series introduction. The Fourier Series allows us to model any arbitrary periodic signal with a combination of sines and cosines. In this video sequence Sal works out the Fourier Series of a square wave.

Why Fourier series is useful?

Fourier series is just a means to represent a periodic signal as an infinite sum of sine wave components. A periodic signal is just a signal that repeats its pattern at some period. The primary reason that we use Fourier series is that we can better analyze a signal in another domain rather in the original domain.

What is the advantage of Fourier series?

The main advantage of Fourier analysis is that very little information is lost from the signal during the transformation. The Fourier transform maintains information on amplitude, harmonics, and phase and uses all parts of the waveform to translate the signal into the frequency domain.

What are the two types of Fourier series?

The two types of Fourier series are trigonometric series and exponential series.

What is the disadvantage of Fourier series?

The major disadvantage of the Fourier transformation is the inherent compromise that exists between frequency and time resolution. The length of Fourier transformation used can be critical in ensuring that subtle changes in frequency over time, which are very important in bat echolocation calls, are seen.

Why we need Fourier series and Fourier transform?

The Fourier series is used to represent a periodic function by a discrete sum of complex exponentials, while the Fourier transform is then used to represent a general, nonperiodic function by a continuous superposition or integral of complex exponentials.

Is Fourier series in frequency domain?

So yes, Fourier series transform a signal from time domain to frequency domain. The difference is that Fourier series breaks down a periodic function into the sum of sinusoidal functions.