• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.169-181
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• 2007

Applying the properties of Hadamard core for totally nonnegative matrices, we give new lower bounds of the determinant for Hadamard product about matrices in Hadamard core and totally nonnegative matrices, the results improve Oppenheim inequality for tridiagonal oscillating matrices obtained by T. L. Markham.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.16 no.1
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• pp.119-126
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• 2012

H.264/AVC can use three transforms depending on types of residual data which are to be coded. H.264/AVC always executes $4{\times}4$ DCT transform. In $16{\times}16$ intra mode only, $4{\times}4$ Hadamard transform for luma DC coefficients and $2{\times}2$ Hadamard transform for chroma DC coefficients are performed additionally. Quantization is carried out to achieve further data compression after transform coding is completed. In this paper, the hardware implementation for DCT transform, Hadamard transform and quantization is studied. Especially, the proposed architecture adopting the pipeline technique can output a quantized result per clock cycle after 33-clock cycle latency. The proposed architecture is coded in Verilog-HDL and synthesized using Xilinx 7.1i ISE tool. The operating frequency is 106MHz at SPARTAN3S-1000. The designed IP can process maximum 33-frame at $1920{\times}1080$ HD resolution.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.16 no.5
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• pp.229-233
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• 2016

In this paper, we present the four genetic nitrogenous bases of C, U(T), A, G to matrices and describe the structures from $4{\times}4$ RNA(ribose nucleic acid) to $8{\times}8$ DNA((deoxyribose nucleic acid) matrices. we analysis a deoxyribose nucleic acid (DNA) double helix based on the block circulant Hadamard-Jacket matrix (BCHJM). The orthogonal BCHJM is anti-symmetric pair complementary of the core DNA. The block circulant ribonucleic acid (RNA) repair damage reliability is better than the conventional double helix. In case of k=4 and N=1, the reliability of block circulant complementarity is 93.75%, and in case of k=4 and N=4, it is 98.44%. Therefore it improves 4.69% than conventional case of double helix.

• Korean Journal of Optics and Photonics
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• v.33 no.6
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• pp.252-259
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• 2022

We have conducted a study to control the light-intensity distribution at the output end of a multimode optical fiber via estimating the transmission matrix. A circularly arranged Hadamard eigenmode phase distribution was implemented using a spatial light modulator, and the transmission matrix of a multimode optical fiber was experimentally obtained using a four-phase method. Based on the derived transmission matrix, the spatial phase distribution of light incident upon the optical fiber was adjusted via the spatial light modulator in advance, to focus the light at a desired position at the optical fiber output. The light could be focused with an intensity up to 359.6 times as high as that of the surrounding background signal at a specific position of the multimode fiber's output end, and the intensity of the focused beam was on average 104.6 times as large as that of the background signal, across the area of the multimode fiber's core.