a7VjLN-eee508_SubbandDecomposition

a7VjLN-eee508_SubbandDecomposition - Subba d eco pos t o...

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Subband Decomposition using Filter Banks Analysis section Processing section Processing section Synthesis section : : : : : : Filter bank Filter bank x ( n 1 , n 2 ) x r ( n 1 , n 2 ) Filter bank (Analysis) Filter bank (Synthesis) Input image Subband images ± The analysis section consists of a set of filters (filter bank) EEE 508 1
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Subband Decomposition using Filter Banks ± Properties ¾ Progressive Hierarchical Transmission ¾ Redundancy reduction since image divided into almost mutually exclusive frequency bands (subband images which are inverse FT of the frequency bands) which have little mutual information in common (almost orthogonal) ± Remaining redundancy mostly confined to each band Rd d d t i b th l i t i ± Redundancy reduction by orthogonalization ¾ Can exploit perceptual properties: HVS more sensitive to low frequency than to high frequency ± coarser quantization in high frequency bands coarser quantization in high-frequency bands ± well suited for ±perceptual coding² 2
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Subband Decomposition using Filter Banks ± 1D Description: General N-Channel Filter bank H 0 ( Ȧ ) Ļ R Code Ĺ R G 0 ( Ȧ ) x r ( n ) H 1 ( Ȧ ) Ļ R Code Ĺ R G 1 ( Ȧ ) : : : : : : : : : : x ( n ) Ȉ H N-1 ( Ȧ ) Ļ R Code Ĺ R G N-1 ( Ȧ ) BPF±s downsampler upsampler BPF±s Decimator Interpolator 4
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Subband Decomposition using Filter Banks ¾ Critically downsampled ± R = N ¾ Perfect reconstruction ± x r ( n ) = x ( n - n 0 ) ± h FB ( n
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a7VjLN-eee508_SubbandDecomposition - Subba d eco pos t o...

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