Write a function H=1pFilterTF (type,P,Q.param) to generate a Px Q lowpass filter transfer function, H, using...

 

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Write a function H=1pFilterTF (type,P,Q.param) to generate a Px Q lowpass filter transfer function, H, using the following filter transfer function. If type = 'ideal', param should be a scalar equal to the cut-off frequency Do. If type = 'gaussian', param should be a scalar equal to the standard deviation, Do. If type="butterworth', param should be a 12 array (vector) containing the cutoff frequency and filter order,[ Do, n]. Ideal lowpass filter: H(u, v) = { if D(u, v) > Do if v) < Do Gaussian filter, where Do is the standard deviation, D(u,v) is the distance from the center of the PXQ frequency rectangle to any point, (u, v): H(u, v) = e-D(e)/2D Butterworth filter, where n is the order of filter, Do is the cut-off frequency, D(u,v) is the distance from the center of the PxQ frequency rectangle to any point, (u, v). 1 1+ [D(u, v)/Do] 2 H(u, v) = (2) Generate a lowpass ideal filter transfer function of size 512 512 with Do=96. Display your result as an image. (3). Generate a lowpass Gaussian filter transfer function of size 512 x 512 with Do-96. Display your result as an image. (4) Generate a lowpass Butterworth filter transfer function of size 512 x 512 with Do-96 and n=2. Display your result as an image. Write a function H=1pFilterTF (type,P,Q.param) to generate a Px Q lowpass filter transfer function, H, using the following filter transfer function. If type = 'ideal', param should be a scalar equal to the cut-off frequency Do. If type = 'gaussian', param should be a scalar equal to the standard deviation, Do. If type="butterworth', param should be a 12 array (vector) containing the cutoff frequency and filter order,[ Do, n]. Ideal lowpass filter: H(u, v) = { if D(u, v) > Do if v) < Do Gaussian filter, where Do is the standard deviation, D(u,v) is the distance from the center of the PXQ frequency rectangle to any point, (u, v): H(u, v) = e-D(e)/2D Butterworth filter, where n is the order of filter, Do is the cut-off frequency, D(u,v) is the distance from the center of the PxQ frequency rectangle to any point, (u, v). 1 1+ [D(u, v)/Do] 2 H(u, v) = (2) Generate a lowpass ideal filter transfer function of size 512 512 with Do=96. Display your result as an image. (3). Generate a lowpass Gaussian filter transfer function of size 512 x 512 with Do-96. Display your result as an image. (4) Generate a lowpass Butterworth filter transfer function of size 512 x 512 with Do-96 and n=2. Display your result as an image.