Frequency domain Flashcards

1
Q

Discrete 2D Fourier transform (DFT).

A
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2
Q

Sampling theorem in 2D.

A

𝐹𝑋 = 1/𝛥𝑋 > 2𝑢𝑚𝑎𝑥 and 𝐹𝑌 = 1/𝛥𝑌 > 2𝑣𝑚𝑎𝑥

Where 𝑢𝑚𝑎𝑥 and 𝑣𝑚𝑎𝑥 are the maximum spatial frequencies of the signal along X and Y, respectively

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3
Q

What is aliasing.

A
  • Undersampling

- Can be compensated by means of a LPF

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4
Q

Spectrum and phase of the DFT.

A

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5
Q

How to apply a filter in the frequency domain.

A

DFT -> G=FH -> IDFT

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6
Q

Low pass filters + functions.

A

Used for smoothing.

Types:

  • Ideal
  • Butterworth
  • Gaussian
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7
Q

High pass filters + functions.

A

Used for sharpening.

Types:

  • 1 - H(Ideal)
  • 1 - H(Butterworth)
  • 1 - H(Gaussian)
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