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When composing the kinematic chain containing geometric errors, we embed the error matrix corresponding to any kinematic joint, i.e. the errors of the joint translation or rotation.
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This approach takes the advantage of watermarking the audio channel, because it provides an independent means for embedding the error-correcting codes, which carry extra information for watermark extraction.
We embed the proposed error concealment algorithm into a video stream.
Another alterative solution is to embed the biochip with error-correction function by employing encode-decoding scheme similar to the approach that we have previously reported [14].
This is because the low pass filter starts filtering frequencies where the watermark is embedded but the error correcting codes provide enough robustness so that this error remains negligible.
Having obtained the test statistic of LOD for SS embedding, the error probability can be analyzed using (19) where it could be shown that the mean and the variance are as follow m z = ∑ i = 1 l 1 σ x i c x i + A ( c - 1 ) sign { x i + A } - x i - A ( c - 1 ) sign { x i - A }, (47) σ z 2 = ∑ i = 1 l 1 σ x i 2 c x i + A ( c - 1 ) sign { x i + A } + x i - A ( c - 1 ) sign { x i - A } 2. (48).
Noticing that in real applications, it is not necessary to embed large data, the error correction methods should be integrated into the system to improve CDR in the future.
By comparing the embedding impact to the error probability and PSNR it results that the embedding impact has a minor relevance with respect to the selection of the modifiable coefficients.
To complete the algorithm, a scheme embedding the sequence of the estimated error (e_{m}) into the algorithm itself is required.
As compared with some recent error resilient approaches based on data embedding, in this study, the important data selection mechanism for different types of MBs, the detailed data embedding mechanism, and the error detection and concealment scheme performed at the decoder are well developed to design an integrated error resilient coding scheme.
That is, the scheme we want to develop is an explicit single step algorithm, the so-called error embedded error correction method (EEECM), of the form textstylebegin{cases} phi_{m+1} = F phi_{m}, e_{m}), e_{m+1} = G phi_{m}, e_{m}, phi_{m+1}).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com