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What is the Fourier series of a triangular wave?

Anonymous

∙ 16y ago

Updated: 10/16/2024

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Q: What is the Fourier series of a triangular wave?

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Can a discontinuous function can be developed in the Fourier series?

Yes. For example: A square wave has a Fourier series.

What are the limitation of fourier series?

what are the limitations of forier series over fourier transform

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 analysis shows that the saw tooth wave consists of which type of wave?

Fourier analysis shows that the saw wave is constructed through manipulation of a sine wave, I can't remember the maths behind it but it's definitely a sine wave.

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Related Questions

Fourier series of sine wave?

The fourier series of a sine wave is 100% fundamental, 0% any harmonics.

Can a discontinuous function can be developed in the Fourier series?

Yes. For example: A square wave has a Fourier series.

If the voltage applied across a capacitance is triangular in waveform then the waveform of the current?

Depend the value of capacitor. Capacitance in series act like a high pass filter, while in parallel act like low pass filter. By fourier series, triangular wave is combine of series of the sine or cosine waves. Therefore by certain capacitance, sine wave can preduce by applied a triangular signal through a capacitor. Current is just 90 degree shift from voltage, shape is same.

Why cannot aperiodic signal be represented using fourier series?

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.

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

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?

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.

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 analysis shows that the saw tooth wave consists of which type of wave?

Fourier analysis shows that the saw wave is constructed through manipulation of a sine wave, I can't remember the maths behind it but it's definitely a sine wave.

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.

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