Discuss how to use the FFT and Fourier series in interpolation and how error in approximation can be...

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Discuss how to use the FFT and Fourier series in interpolation and how error in approximation can be improved. Provide specific examples, as well as, citations and references for any sources used.  	Discuss how the FFT reduces the computation of the direct Fourier transform. Provide specific examples and/or details to support your points. 
	
Document Preview: Answer each question with a minimum of 50 words per question:Discuss how to use the FFT and Fourier series in interpolation and how error in approximation can be improved. Provide specific examples, as well as, citations and references for any sources used.Discuss how the FFT reduces the computation of the direct Fourier transform. Provide specific examples and/or details to support your points.

Robert · Accepted Answer

Answer each question with a minimum of 50 words per question:
1) Discuss how to use the FFT and Fourier series in interpolation and how error in 
approximation can be improved. Provide specific examples, as well as, citations and 
references for any sources used. 
Answer: Signal processing can be done through various ways. The signal could be un-
sampled and convoluted with a linear filter in time domain. “In MATLAB, there is FFT 
interpolation function „interpft‟, which performs the interpolation via FFT method.” (Zhou, 
2011) The benefit of this technique is that is very fast as compared to classical filtering and 
requires less computational labor.

Discuss how to use the FFT and Fourier series in interpolation and how error in approximation can be improved. Provide specific examples, as well as, citations and references for any sources used....

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