1992
DOI: 10.1016/0923-5965(92)90032-b
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Statistical analysis of the 2D-DCT coefficients of the differential signal for images

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Cited by 56 publications
(30 citation statements)
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“…Since the motion-compensation is simply subtracted (without scaling) in standard video coders, we assume for simplicity that the correlation coefficient ρ ≈ 1. With such a model it has been shown in prior work [8,11] that the innovation density is well approximated by the zero-mean laplacian distribution, i.e.,…”
Section: Statistical Modelmentioning
confidence: 99%
“…Since the motion-compensation is simply subtracted (without scaling) in standard video coders, we assume for simplicity that the correlation coefficient ρ ≈ 1. With such a model it has been shown in prior work [8,11] that the innovation density is well approximated by the zero-mean laplacian distribution, i.e.,…”
Section: Statistical Modelmentioning
confidence: 99%
“…The innovation probability density function (pdf) denoted by pZ (z) is assumed to be Laplacian in keeping with prior work [6], i.e.,…”
Section: Optimal Enhancement Layer Prediction In Svcmentioning
confidence: 99%
“…In the above equation the zero-delay pdf of xn, p(xn|x b n−1 , I b n ), is weighed by the probability p(I b n+1 |xn) of the known future outcome to obtain the 1-sample delayed pdf on the LHS of (6), that incorporates all known information at the decoder up to a delay of 1 sample. Now,…”
Section: Delayed Decoding Of Predictively Encoded Videomentioning
confidence: 99%
“…As an aside, it should be noted that the zero-mean innovations in (1) imply that x n is itself zero-mean, whenever |ρ| < 1 (i.e., any non-zero means during initialization of the process are eventually damped down by ρ). It was indeed observed in the experiment that the mean of DCT coefficients at any AC frequency was always nearly zero.…”
Section: Transform Domain Prediction: Model and Motivationmentioning
confidence: 99%
“…In both [4] and [10], such a viewpoint was necessary to explicitly account for the quantization interval information exploited by the ET framework, which is available only in the transform domain. The innovation of each scalar AR process (per frequency) was modeled as Laplacian [1], and the temporal correlation coefficient of each AR process at different spatial frequencies was assumed to be unity (as is the common practice in pixel domain). Note that in this case the transform domain model is congruent with the pixel domain AR model due to the unitarity of the spatial transform.…”
Section: Introductionmentioning
confidence: 99%