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- Polyphase_matrix abstract "In signal processing, a polyphase matrix is a matrix whose elements are filter masks. It represents a filter bank as it is used in sub-band coders alias discrete wavelet transforms.If are two filters, then one level the traditional wavelet transform maps an input signal to two output signals , each of the half length:Note, that the dot means polynomial multiplication; i.e., convolution and means downsampling.If the above formula is implemented directly, you will compute values that are subsequently flushed by the down-sampling. You can avoid that by splitting the filters and the signal into even and odd indexed values before the transformation.The arrows and denote left and right shifting, respectively. They shall have the same precedence like convolution, because they are in fact convolutions with a shifted discrete delta impulse.The wavelet transformation reformulated to the split filters is:This can be written as matrix-vector-multiplicationThis matrix is the polyphase matrix.Of course, a polyphase matrix can have any size, it need not to have square shape. That is, the principle scales well to any filterbanks, multiwavelets, wavelet transforms based on fractional refinements.".
- Polyphase_matrix wikiPageID "7870701".
- Polyphase_matrix wikiPageRevisionID "526182968".
- Polyphase_matrix hasPhotoCollection Polyphase_matrix.
- Polyphase_matrix subject Category:Digital_signal_processing.
- Polyphase_matrix subject Category:Wavelets.
- Polyphase_matrix type Abstraction100002137.
- Polyphase_matrix type Event100029378.
- Polyphase_matrix type Happening107283608.
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- Polyphase_matrix type PsychologicalFeature100023100.
- Polyphase_matrix type Ripple107344663.
- Polyphase_matrix type Wave107352190.
- Polyphase_matrix type Wavelets.
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- Polyphase_matrix comment "In signal processing, a polyphase matrix is a matrix whose elements are filter masks.".
- Polyphase_matrix label "Polyphase matrix".
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- Polyphase_matrix isPrimaryTopicOf Polyphase_matrix.