Using

Filtering using fourier series

Filtering using fourier series
  1. What is Fourier filtering?
  2. What does FFT filtering allow?
  3. How linear filter is done using FFT?

What is Fourier filtering?

The Fourier filter is a type of filtering function that is based on manipulation of specific frequency components of a signal. It works by taking the Fourier transform of the signal, then attenuating or amplifying specific frequencies, and finally inverse transforming the result.

What does FFT filtering allow?

FFT Filters provide precisely controlled low- and high-pass filtering (smoothing and sharpening, respectively) using a Butterworth characteristic. The image is converted into spatial frequencies using a Fast Fourier Transform, the appropriate filter is applied, and the image is converted back using an inverse FFT.

How linear filter is done using FFT?

Step 1: Take the L samples of data sequence ��(��). Append M – 1 extra zeros to this block of data so that its length is L + M – 1. Step 2: Append L – 1 extra zeros to the FIR filter so that its length is L + M – 1. Step 3: Convolve the two sequences circularly using FFT as shown in Fig.

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