In this paper, based on the block (element)-wise inverse Jacket matrix, a unified fast hybrid diagonal block-wise transform (FHDBT) algorithm is proposed. A new fast diagonal block matrix decomposition is made by the matrix product of successively lower order diagonal Jacket matrix and Hadamard matrix. Using a common lower order matrix in the form of 1 1, a fast recursive structure can be developed in the FHDBT, which is able to convert a newly developed discrete cosine transform (DCT)-II, discrete sine transform (DST)-II, discrete Fourier transform (DFT), and Haar-based wavelet transform (HWT). Since these DCT-II, DST-II, DFT, and HWT are widely used in different areas of applications, the proposed FHDBT can be applied to the heterogeneous system requiring several transforms simultaneously. Comparing with pre-existing DCT-II, DST-II, DFT, and HWT, it is shown that the proposed FHDBT exhibits less the complexity as its matrix size gets larger. The proposed algorithm is also well matched to circulant channel matrix. From the numerical experiments, it is shown that a better performance can be achieved by the use of DCT/DST-II compression scheme compared with the DCT-II only compression method. Signal Processing: Image CommunicationThis work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. , a fast recursive structure can be developed in the FHDBT, which is able to convert a newly developed discrete cosine transform (DCT)-II, discrete sine transform (DST)-II, discrete Fourier transform (DFT), and Haar-based wavelet transform (HWT). Since these DCT-II, DST-II, DFT, and HWT are widely used in different areas of applications, the proposed FHDBT can be applied to the heterogeneous system requiring several transforms simultaneously. Comparing with pre-existing DCT-II, DST-II, DFT, and HWT, it is shown that the proposed FHDBT exhibits less the complexity as its matrix size gets larger. The proposed algorithm is also well matched to circulant channel matrix. From the numerical experiments, it is shown that a better performance can be achieved by the use of DCT/ DST-II compression scheme compared with the DCT-II only compression method.

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In this article, a fast diagonal-weighted Jacket matrix is proposed to have orthogonal architecture. The successive diagonal-weighted Jacket matrix is developed to reduce the computational load while factorizing the large-order diagonal-weighted Jacket matrices into the low-order sparse matrices with fast algorithms. The proposed diagonal-weighted Jacket matrix is then applied to the precoding multiple-input and multiple-output wireless communications because of its diagonal-weighted framework with element-wise inverse characteristics. Based on the properties of the diagonalweighted Jacket matrix, the proposed diagonal-weighted Jacket matrix can be used as alternative open-loop cyclic delay diversity precoding, which has recently become part of the cellular communications systems. Performance of the diagonal-weighted Jacket matrix-based precoding system is verified for orthogonal space-time block code multiple-input and multiple-output long-term evolution systems.Keywords element-wise inverse diagonal weighted Jacket matrices, block-wise inverse weighted Jacket matrices, conventional standard for long-term evolution system based on cyclic delay diversity and Jacket matrix, proposed diagonal weighted Jacket matrices for closed loop multiple-input and multiple-output long-term evolution precoding

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Coordinated Multi-Point transmission and reception (CoMP) technique is a new promising scheme which has been adopted in LTE-Advanced. CoMP is mostly required to reduce the inter-cell interference (ICI). It also increases the cell edge user throughput and improves the coverage. For downlink CoMP, most research work mainly focuses on joint processing/transmission (CoMP-JP) mode. The Joint Processing technique for CoMP can maximize system performance, which is achieved mainly with zeroforcing beamforming algorithms. In this paper, we study the performance of multiuser beamforming for differently in various CoMP scenarios. The simulation results indicate that the proposed scheme offers much higher performance gain compared with the CoMP-JP mode.