Sentence examples for band tree from inspiring English sources

The discrete wavelet transform (DWT), showed in Figure 4, based on the octave band tree structure, can be viewed as the multiresolution decomposition of a signal.

Fig. 3 Four-band tree-structured filter bank.

Similarly, 8-band tree-structured filter bank may be considered as a stage of two 4-band tree-structured filter banks prior to one 2-band filter bank.

(19) Fig. 5 Frequency domain implementation of 4-band tree-structured filter bank.

The filter bank is the optimal K-band tree-structured filter bank where the inputs at the synthesis part are sequences of M symbols.

Following such approach, one can find the order of sub-band filters of K-band tree-structured filter bank in the spectrum is matched to a sequence of gray numbers.

Figure 3 shows 4-band tree-structured filter bank in which the filters with superscripts 1 and 2 belong to the first and second levels of the tree, respectively.

Substituting up-sampling, down-sampling, and cyclic convolution operations of K-band tree-structured filter bank with 2-Copy, 2-Fold, and multiplication operations yields a new structure that we call it as frequency domain tree structure (FDTS) filter bank.

As explained, 4-band tree-structured filter bank has two stages, stage 1 consists of two 2-band filter banks and stage 2 consists of one 2-band filter bank.

It is seen in Fig. 8 that filter bank of stage 2 reverses the arrangement of two higher sub-bands and the frequency response of sub-band 3 comes before sub-band 4. Therefore, the order of 4-band tree-structured filter bank in the spectrum may be shown as {1, 2, 4, 3}.

Combining two 4-band tree-structured filter banks using next 2-band filter bank reverses the order of higher 4-band filter bank, and thus, the sub-bands are ordered in the spectrum as {1,2,4,3,7,8,6,5}.