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An image is convolved with an ideal low pass filter. The resultant image is convolved with a Gaussian low pass filter to obtain a final image. Will you observe ringing effect in the final image. WPlease give reason.

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The ringing from convolving with an ideal low pass filter is Gibbs oscillations. If you convolve with a smooth function, you won't get ringing, but of course you will get some smoothing and attenuation. You could try multiplying by a function like $\exp(-x^4)$ in the Fourier domain or its ilk. These functions are flat around $0$, unlike the Gaussian, so they are more ideal low pass filter-like.

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