Calculating Fourier Co-Efficent An of an Even Square Function

In summary, the conversation is about solving a mathematical question regarding Fourier series. The person initially struggled to find the answer but eventually found it to be -4/npi after breaking the function into three separate integrals. They also shared their working and received confirmation that their answer was correct. The teacher's answer was incorrect.
  • #1
Metalsie
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  • #2
Nevermind guys, it appears that my answer is correct.
 
  • #3
Metalsie said:
Nevermind guys, it appears that my answer is correct.

Your follow-up post to let us know what you found is greatly appreciated. (Yes)
 
  • #4
The answer provided by the teacher (-4/npi) was basically wrong and mine was right. Sorry.

Here is the "same" problem solved

Calculating Fourier Series 1
 

FAQ: Calculating Fourier Co-Efficent An of an Even Square Function

What is the Fourier Co-Efficient An of an Even Square Function?

The Fourier Co-Efficient An of an Even Square Function is a mathematical tool used in Fourier analysis to represent a periodic function as a linear combination of sine and cosine functions. It represents the amplitude of the cosine term in the Fourier series of the even square function.

How do you calculate the Fourier Co-Efficient An of an Even Square Function?

The formula for calculating the Fourier Co-Efficient An of an Even Square Function is An = (4A/pi^2) * (1/n^2) * sin(n*pi/2), where A is the amplitude of the function and n is the harmonic number. Alternatively, you can use Fourier transform techniques to calculate the Co-Efficient An.

What is the significance of the Fourier Co-Efficient An of an Even Square Function?

The Fourier Co-Efficient An provides information about the amplitude and frequency components of the even square function. It helps in understanding the periodicity and symmetry of the function, and is also used in signal processing and data analysis.

Can the Fourier Co-Efficient An of an Even Square Function be negative?

Yes, the Fourier Co-Efficient An of an Even Square Function can be negative. This indicates that the cosine term in the Fourier series has a negative amplitude, which can result in a phase shift of 180 degrees.

How is the Fourier Co-Efficient An of an Even Square Function used in real-life applications?

The Fourier Co-Efficient An is used in various fields such as engineering, physics, and mathematics to analyze and model periodic phenomena. It is used in signal processing to remove noise and extract useful information from signals, and in data analysis to identify patterns and trends in data.

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