[PDF] application of fourier series in physics

What is the Fourier series used for? Fourier series is used to describe a periodic signal in terms of cosine and sine waves. In other other words, it allows us to model any arbitrary periodic signal with a combination of sines and cosines.
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  • What are the applications of Fourier series?

    The Fourier series has a vast number of applications in an enormous variety of industries.
    Some examples include signal filtering, noise removal, identifying resonant frequencies, compression of audio signals, and speech recognition.
    The Fourier series is also used for data transmission and modulation.

  • What are the advantages of Fourier series in physics?

    Fourier series is used to represent any function in terms of a periodic function that is in terms of sines and cosines.
    The main advantage of using Fourier series is that decomposing a function(which is difficult to treat) into sine and cosine is easily solvable.

  • What is the use of Fourier transform in physics?

    Fourier Transform is a mathematical model which helps to transform the signals between two different domains, such as transforming signal from frequency domain to time domain or vice versa.
    Fourier transform has many applications in Engineering and Physics, such as signal processing, RADAR, and so on.

  • What is the use of Fourier transform in physics?

    A Fourier Series in Quantum Mechanics: Electron in a Box
    Therefore, any reasonably smooth initial wavefunction describing the electron can be represented as a Fourier series.
    The time development can then be found by multiplying each term in the series by the appropriate time-dependent phase factor.

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