For Lenna (B/W) images, use 6, 8, 10 tap ho(n) digital FIR filters as given below;...

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For Lenna (B/W) images, use 6, 8, 10 tap ho(n) digital FIR filters as given below; a) Show that it satisfies PR-Condition, and plot magnitude square frequency response of h(n) 0.0352 -0.0106 H(:)H(z)+H(-)H(-:)=2 0.0033 -0.0854 0.0329 -0.1350 0.0308 -0.0062 -0.0126 H(e) + H(e-)-: 0.3327 0.4599 -0.1870 0.8069 -0.0280 -0.0322 0.6309 -0.2423 0.7148 0.0776 b) Obtain 4 iteration (13 Sub-band dyadic decomposition) for given FIR digital filters ho(n) where N = 6,8,10 tap. And Re-construct the image by using the highest energy 5 sub-bands, and calculate the Compression Ratio and Peak Signal to Noise Ratio. PSNR 10 loa.. 2552 0.1384 0.2304 0.7243 0.6038 0.1601 h.(n) (12) 12 g.(n) x(n) (n) H LH h(n) 12 12) g(n) h(n) H(:) h(n) (-1),(N-1-n) H(2)-2-H(-2) g.(n)-h(N-1-n) G(z) H(z) g(n)=(-1)*h(n) G(2)=H,(-2) 2- Implement Multiresolution Pyramid algorithm for given any 2-D B/W images. Algorithm schema is shown below. Subsampling Upsampling Subsampling Upsampling original image signals to be encoded For Lenna (B/W) images, use 6, 8, 10 tap ho(n) digital FIR filters as given below; a) Show that it satisfies PR-Condition, and plot magnitude square frequency response of h(n) 0.0352 -0.0106 H(:)H(z)+H(-)H(-:)=2 0.0033 -0.0854 0.0329 -0.1350 0.0308 -0.0062 -0.0126 H(e) + H(e-)-: 0.3327 0.4599 -0.1870 0.8069 -0.0280 -0.0322 0.6309 -0.2423 0.7148 0.0776 b) Obtain 4 iteration (13 Sub-band dyadic decomposition) for given FIR digital filters ho(n) where N = 6,8,10 tap. And Re-construct the image by using the highest energy 5 sub-bands, and calculate the Compression Ratio and Peak Signal to Noise Ratio. PSNR 10 loa.. 2552 0.1384 0.2304 0.7243 0.6038 0.1601 h.(n) (12) 12 g.(n) x(n) (n) H LH h(n) 12 12) g(n) h(n) H(:) h(n) (-1),(N-1-n) H(2)-2-H(-2) g.(n)-h(N-1-n) G(z) H(z) g(n)=(-1)*h(n) G(2)=H,(-2) 2- Implement Multiresolution Pyramid algorithm for given any 2-D B/W images. Algorithm schema is shown below. Subsampling Upsampling Subsampling Upsampling original image signals to be encoded