Ideal

Why we need distances in Ideal LPF?

Why we need distances in Ideal LPF?
  1. What is an ideal low-pass filter?
  2. What are the effects of applying ideal low-pass filter?
  3. Why are ideal filters not physically realizable?
  4. Does low-pass filter affect amplitude?

What is an ideal low-pass filter?

An ideal low pass filter is the one which transmits all the signal of frequencies less than a certain frequency ωc radians per second without any distortion and blocks all the signals of frequencies above ωc radians per second.

What are the effects of applying ideal low-pass filter?

A low pass filter is the basis for most smoothing methods. An image is smoothed by decreasing the disparity between pixel values by averaging nearby pixels. Using a low pass filter tends to retain the low frequency information within an image while reducing the high frequency information.

Why are ideal filters not physically realizable?

The Paley and Wiener criterion implies that ideal filters are not physically realizable because in a certain frequency range for each type of ideal filters. Therefore, approximations of ideal filters are desired.

Does low-pass filter affect amplitude?

A low pass filter is a circuit whose amplitude (magnitude) function decreases as increases, that is, the circuit passes low frequencies (relatively large amplitudes at the output) and rejects high frequencies (relatively small amplitudes at the output) as shown in fig. 1.

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