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In the DWT domain, a spread spectrum-based watermark is embedded in the coefficients of the LL sub-band while in DFT domain a template is embedded in the middle frequency component.
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First, a low-middle-frequency component is fitted using locally linear fitting with a bandwidth of 39 days.
Then the current D t is subtracted from the and the low-middle-frequency component is re-computed.
Then D t is the result of means for each day-of-the-week of the minus the low-middle-frequency component.
As other examples, in [21, 22], the proposed DCT/DWT methods embed a binary visual watermark by modulating the middle-frequency components.
As explained above, many previously reported methods, which utilize the PCA or KPCA for the SR, assume that LR patches (middle-frequency components) and their corresponding HR patches (high-frequency components) that are, respectively, projected onto linear or nonlinear eigenspaces are the same.
In practice, for the proposed algorithm, 256 bits are embedded into the middle high-frequency component within wave atom transform domain, yielding an average PNSR value of watermarked image at 39 dB.
The first arrivals include lower- and higher-frequency waves, the middle range of frequency components arriving later which are in agreement with theoretic perdition.
middle frequency.
The middle frequency range is used.
Figure 1 Frequency component perception.
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