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An aperiodic signal cannot be represented using fourier series because the definition of fourier series is the summation of one or more (possibly infinite) sine wave to represent a periodicsignal. Since an aperiodic signal is not periodic, the fourier series does not apply to it. You can come close, and you can even make the summation mostly indistinguishable from the aperiodic signal, but the math does not work.
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Can every function be expanded in fouriers series?
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
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.
Can a discontinuous function be developed in a Fourier series?
Yes, a Fourier series can be used to approximate a function with some discontinuities. This can be proved easily.
How can I watch Netflix series/movies for free?
You cannot. As a matter of fact, every single method of watching Netflix series/movies for free are fake and a scam.
Is there a second number four movie?
There will be... i mean they just cannot leave a series hanging like that and not do a sequel
Can every function be expanded in fouriers series?
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
What are Joseph Fourier's works?
Fourier series and the Fourier transform
What is parseval theorem in fourier series?
Parseval's theorem in Fourier series states that the total energy of a periodic function, represented by its Fourier series, is equal to the sum of the squares of its Fourier coefficients. Mathematically, for a function ( f(t) ) with period ( T ), the theorem expresses that the integral of the square of the function over one period is equal to the sum of the squares of the coefficients in its Fourier series representation. This theorem highlights the relationship between the time domain and frequency domain representations of the function, ensuring that energy is conserved across these domains.
What are the limitation of fourier series?
what are the limitations of forier series over fourier transform
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
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.
How do you find the inverse Fourier transform from Fourier series coefficients?
To find the inverse Fourier transform from Fourier series coefficients, you first need to express the Fourier series coefficients in terms of the complex exponential form. Then, you can use the inverse Fourier transform formula, which involves integrating the product of the Fourier series coefficients and the complex exponential function with respect to the frequency variable. This process allows you to reconstruct the original time-domain signal from its frequency-domain representation.
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.
Can a discontinuous function be developed in a Fourier series?
Yes, a Fourier series can be used to approximate a function with some discontinuities. This can be proved easily.
