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any signal can be represented by sum of sine and cosine signals...when fs is applied to a signal it is represented by a function containing only sine and cosine signals...mixing 2 signals produces a diff 1..like tat wen sine and cosine is mixed a diff required signal is produced..
ao/2+summation{(ancos(nx)+bnsin(nx)}...
here ao is DC component which gives the amplitude of a signal..
fs of square wave is 4/pi summation(1/n*sin(nwot)
In electrical engineering, the Fourier series is used to analyse signal waveforms to find their frequency contest. This is needed to design communication systems that will deliver the signal to the receiver in good shape.
If you go on to study the next step, the Fourier Transform, that is really interesting for electrical engineering because a signal can be a function of time and it can also be a function of frequency. These two representations of the same signal form a Fourier-Transform pair. So the spectrum is the FT of the waveform, while the waveform is reverse-FT of the spectrum.
Fourier series are also good because they are the simplest example of the whole new subject of orthogonal polynomials, and these are also important in engineering because they are used to find solutions of the differential equations that are thrown up by physical systems.
So, while a violin string can be analysed by a Fourier series which explains the harmonics that give a violin its distinctive sound, something more complex like a drum-skin can also be analysed, but the answer comes out in terms of another type of orthogonal function, the Bessel functions, instead of circular functions (sines and cosines). This explains why you get a note from a drum but it's less well defined, because the upper modes are not harmonically related to the fundamental.
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Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
Fourier series of sine wave?
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
What is the real time application for fourier series in signals?
Fourier series analysis is useful in signal processing as, by conversion from one domain to the other, you can apply filters to a signal using software, instead of hardware. As an example, you can build a low pass filter by converting to frequency domain, chopping off the high frequency components, and then back converting to time domain. The sky is the limit in terms of what you can do with fourier series analysis.
What is harmonic as applied to fourier series?
When we do a Fourier transformation of a function we get the primary term which is the fundamental frequency and amplitude of the Fourier series. All the other terms, with higher frequencies and lower amplitudes, are the harmonics.
In Fourier transformation and Fourier series which one follows periodic nature?
The Fourier series can be used to represent any periodic signal using a summation of sines and cosines of different frequencies and amplitudes. Since sines and cosines are periodic, they must form another periodic signal. Thus, the Fourier series is period in nature. The Fourier series is expanded then, to the complex plane, and can be applied to non-periodic signals. This gave rise to the Fourier transform, which represents a signal in the frequency-domain. See links.
What is the application of Fourier series in civil engineering?
when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.
What are Joseph Fourier's works?
Fourier series and the Fourier transform
What are the limitation of fourier series?
what are the limitations of forier series over fourier transform
Application of fourier transform?
the main application of fourier transform is the changing a function from frequency domain to time domain, laplaxe transform is the general form of fourier transform .
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
How do you find the inverse Fourier transform from Fourier series coefficients?
no
Can a discontinuous function can be developed in the Fourier series?
Yes. For example: A square wave has a Fourier series.
What is physical significance of Fourier series?
Fourier series is series which help us to solve certain physical equations effectively
What is the difference between fourier series and discrete fourier transform?
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
Fourier series of sine wave?
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
Why was Joseph Fourier famous?
Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.
What is the real time application for fourier series in signals?
Fourier series analysis is useful in signal processing as, by conversion from one domain to the other, you can apply filters to a signal using software, instead of hardware. As an example, you can build a low pass filter by converting to frequency domain, chopping off the high frequency components, and then back converting to time domain. The sky is the limit in terms of what you can do with fourier series analysis.
