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Ideal low pass filter in frequency domain

Ideal low pass filter in frequency domain
  1. What is ideal low pass filter in frequency domain?
  2. What is ideal low pass filter?
  3. What is the frequency range of low pass filter?
  4. What is the advantage of using Gaussian filter over ideal low pass filter in frequency domain?

What is ideal low pass filter in frequency domain?

Ideal Low Pass Filter (LPF)

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 is ideal low pass filter?

An ideal low-pass filter completely eliminates all frequencies above the cutoff frequency while passing those below unchanged; its frequency response is a rectangular function and is a brick-wall filter. The transition region present in practical filters does not exist in an ideal filter.

What is the frequency range of low pass filter?

Applications of Low Pass Filters

In audio devices, low pass filters are used to filter treble sound from 2.5 kHz to 20 kHz (high-frequency components of the audio spectrum) to subwoofers.

What is the advantage of using Gaussian filter over ideal low pass filter in frequency domain?

Figure 1 Ideal lowpass in frequency and spatial domain. Better results can be achieved with a Gaussian shaped filter function. The advantage is that the Gaussian has the same shape in the spatial and Fourier domains and therefore does not incur the ringing effect in the spatial domain of the filtered image.

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