Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
Papers published on a yearly basis
Papers
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TL;DR: The proposed approach for detecting zero quantized discrete cosine transform (ZQDCT) coefficients using the sum of absolute transformed difference (SATD) can greatly reduce the DCT and Q computations and obtain almost the same rate-distortion performance as the original encoder.
Abstract: This paper presents an efficient approach for detecting zero quantized discrete cosine transform (ZQDCT) coefficients using the sum of absolute transformed difference (SATD). Previously, all the ZQDCT prediction approaches employ the sum of absolute difference (SAD) available ahead of DCT and quantization (Q) for early detection. However, when the Hadamard transform is enabled for H.264/AVC encoding, only the SATD instead of SAD is available before DCT and Q, and all the prediction approaches can not be directly applied. To solve this problem, the Gaussian distribution is applied to study the integer 4x4 DCT coefficients in H.264/AVC and hence an adaptive scheme with multiple thresholds against SATD is derived to realize different types of DCT and Q implementations. In addition, another two SATD based sufficient conditions are proposed for early detecting zero quantized DC coefficients for the luma components encoded with the intra 16 times 16 mode and the chroma components. The experimental results demonstrate that the proposed approach can greatly reduce the DCT and Q computations and obtain almost the same rate-distortion performance as the original encoder.
29 citations
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TL;DR: In this article, it is shown that the Hermite-Hadamard inequality is closer to the integral mean value than the right one in the multivariate case, and a related inequality comparing the methods of approximate integration, which is optimal, is introduced.
Abstract: It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal. We also present its counterpart of Fejer type.
29 citations
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TL;DR: In this article, sufficient and necessary conditions for analytic functions on the unit ball B with Hadamard gaps were given for f(z)=∑k=1∞Pnk(z) (the homogeneous polynomial expansion of f) satisfying nk.
Abstract: We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f(z)=∑k=1∞Pnk(z) (the homogeneous polynomial expansion of f) satisfying nk
29 citations
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TL;DR: In this article, the author established some new Hermite-Hadamard type inequalities for p-convex functions and some natural applications to special means of real numbers are also given.
Abstract: In this paper, the author establishes some new Hermite-Hadamard type inequalities for p-convex functions. Some natural applications to special means of real numbers are also given.
29 citations
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29 citations