Hadamard Transform-Based Optimized HEVC Video Coding

Tang, Minhao; Chen, Xinyao; Wen, Jiangtao; Han, Yuxing

doi:10.1109/tcsvt.2018.2810324

Cited by 13 publications

(9 citation statements)

References 35 publications

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“…While the most direct method to solve redundant restoration is the least squares method, whose solution is called the least squares solution. 13–18…”

Section: Reconstruction Methods Of Hadamard Coding Spectral Imaging Modelmentioning

confidence: 99%

Restoration Method of Hadamard Coding Spectral Imager

Tang

et al. 2020

Appl Spectrosc

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Hadamard coding spectral imaging technology is a computational spectral imaging technology, which modulates the target’s spectral information and recovers the original spectrum by inverse transformation. Because it has the advantage of multichannel detection, it is being studied by more researchers. For the engineering realization of push-broom coding spectral imaging instrument, it will inevitably be subjected to push-broom error, template error and detection noise, the redundant sampling problem caused by detector. Therefore, three restoration methods are presented in this paper: firstly, the one is the least squares solution, the two is the zero-filling inverse solution by extending the coding matrix in the redundant coding state to a complete higher order Hadamard matrix, the three is sparse method. Secondly, the numerical and principle analysis shows that the inverse solution of zero-compensation has better robustness and is more suitable for engineering application; its conditional number, error expectation and covariance are better and more stable because it directly uses Hadamard matrix, which has good generalized orthogonality. Then, a real-time spectral reconstruction method is presented, which is based on inverse solution of zero-compensation. Finally, simulation analysis shows that spectral data could be destructed relative accuracy in the error condition; however, the effect of template noise and push error on reconstruction is much greater than that of detection error. Therefore, in addition to reducing the detection noise as much as possible, lower template noise and more accurate push controlling should be guaranteed specifically in engineering realization.

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“…While the most direct method to solve redundant restoration is the least squares method, whose solution is called the least squares solution. 13–18…”

Section: Reconstruction Methods Of Hadamard Coding Spectral Imaging Modelmentioning

confidence: 99%

Restoration Method of Hadamard Coding Spectral Imager

Tang

et al. 2020

Appl Spectrosc

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“…The sequence of allowable phases that correspond to MRT coefficients having only positive sets is 0, k,2k, ………………, M À k 2 (19) and the sequence of allowable phases that correspond to MRT coefficients having only negative sets is…”

Section: Dependence Of Phase Index On Frequencymentioning

confidence: 99%

“…Simple integer-to-integer transforms will retain their attractiveness in the light of the ongoing switch to Internet of Things (IoT) and edge computing. A potential application of the MRT is its use as a feature vector in various contexts, just like how the Hadamard Transform has been used, as shown in [18][19][20]. Numerous other applications await the MRT.…”

Section: Conclusion and Future Developmentmentioning

confidence: 99%

“…From(19), the sequence of allowable phase indices that correspond to MRT coefficients having only positive groups is0, k,2k, …………………, M À k 2 From (20), the sequence of allowable phase indices that correspond to MRT coefficients having only negative groups is The first data element that satisfies nk ðÞ N ¼ p is p k since k|p is satisfied, p being a valid phase index. Hence, the first element in the positive set has index n a ¼ p k .…”

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confidence: 99%

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A New Integer-to-Integer Transform

Roy¹

2020

Number Theory and Its Applications

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This chapter presents a detailed analysis of an integer-to-integer transform that is closely related to the discrete Fourier transform, but that offers insights into signal structure that the DFT does not. The transform is analyzed for its underlying properties using concepts from number theory. Theorems are given along with proofs to help establish the salient features of the transform. Two kinds of redundancy exist in the transform. It is shown how redundancy implicit in the transform can be eliminated to obtain a simple form. Closed-form formulas for the forward and inverse transforms are presented.

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“…One is for coding via a novel padding technique together with a constrained quantization algorithm, and the other is for reconstruction by linear interpolations along a prediction direction. To decrease the complexity of the HEVC coding standard, Tang et al [13] applied the Hadamard energy for residual information measurement to determine the quantization parameter (QP) value for better coding efficiency. To overcome the problem of the computational complexity in HEVC, Goswami and Kim [14] proposed a fast HEVC coding scheme on the basis of Markov chain Monte Carlo model and Bayesian classifier.…”

Section: Introductionmentioning

confidence: 99%

Video Coding Algorithm Based on High Efficiency Video Coding (HEVC) and Hybrid Transforms

Wang¹,

Shan²,

Zhou³

2018

KSII TIIS

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In recent years, due to its high efficiency and better performance, the high efficiency video coding (HEVC) has become the most common compression standard in the field of video coding. In this paper, the framework of HEVC is deeply analyzed, and an improved HEVC video coding algorithm based on all phase biorthogonal transform (APBT) is proposed, where APBT is utilized to replace the discrete cosine transform (DCT) and discrete sine transform (DST) in original HEVC standard. Based on the relationship between APBT and DCT, the integer APBT is deduced. To further improve the coding performance, an optimal HEVC video coding algorithm based on hybrid APBT is proposed. The coding performance of the proposed HEVC coding algorithm is improved without increasing the complexity. Experimental results show that compared with HEVC standard algorithm, the improved HEVC video coding algorithm based on hybrid APBT can improve the coding performance of chrominance components by about 0.3%.

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Hadamard Transform-Based Optimized HEVC Video Coding

Cited by 13 publications

References 35 publications

Restoration Method of Hadamard Coding Spectral Imager

Restoration Method of Hadamard Coding Spectral Imager

A New Integer-to-Integer Transform

Video Coding Algorithm Based on High Efficiency Video Coding (HEVC) and Hybrid Transforms

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