Inverse Transform

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Chih-peng Fan - One of the best experts on this subject based on the ideXlab platform.

  • fast multiple Inverse Transforms with low cost hardware sharing design for multistandard video decoding
    IEEE Transactions on Circuits and Systems Ii-express Briefs, 2011
    Co-Authors: Chih-peng Fan, Chiahao Fang, Chiawei Chang, Shunji Hsu
    Abstract:

    In this brief, fast multiple Inverse Transform algorithms and their hardware sharing designs for 2 × 2, 4 × 4, and 8 × 8 Inverse Transforms in H.264/Advanced Video Coding and the 8 × 8 Inverse Transform in Audio Video Coding Standard, 4 × 4 and 8 × 8 Inverse Transforms in VC-1, and Inverse discrete cosine Transform in JPEG and MPEG-1/2/4 are developed with a low hardware cost, for multistandard decoding applications. By matrix factorizations and shift-and-addition computations, the proposed 1-D hardware sharing Transform scheme is achieved without multiplications. The hardware cost of the proposed 1-D sharing architecture is smaller than that of the individual and separate designs. Through VLSI implementations with regular modularity, the 2-D Transform with the proposed 1-D sharing architecture achieves multistandard real-time video decoding.

  • efficient fast 1 d 8 times 8 Inverse integer Transform for vc 1 application
    IEEE Transactions on Circuits and Systems for Video Technology, 2009
    Co-Authors: Chih-peng Fan
    Abstract:

    In this paper, the one-dimensional (1-D) fast 8times8 Inverse integer Transform algorithm for Windows Media Video 9 (WMV-9/VC-1) is proposed. Based on the symmetric property of the integer Transform matrix and the matrix operations, which denote the row/column permutations and the matrix decompositions, the efficient fast 1-D 8times8 Inverse integer Transform is developed. Therefore, the computational complexities of the proposed fast Inverse Transform are smaller than those of the direct method and the previous fast method. With low complexity, the proposed fast algorithm is suitable to accelerate the video coding computations.

  • low cost hardware sharing architecture of fast 1 d Inverse Transforms for h 264 avc and avs applications
    IEEE Transactions on Circuits and Systems Ii-express Briefs, 2008
    Co-Authors: Chih-peng Fan
    Abstract:

    In this paper, the fast one-dimensional (1-D) algorithms and their hardware-sharing designs for the 1-D 2times2, 4times4, and 8times8 Inverse Transforms of H.264/AVC and the 1-D 8times8 Inverse Transform of AVS are proposed with the low hardware cost, especially for the multiple decoding applications in China. By sharing the hardware, the proposed 1-D hardware sharing architecture is realized by adding the offset computations, and it is implemented with the pipelined architecture. Thus, the hardware cost of the proposed sharing architecture is smaller than that of the individual and separate designs. With regular modularity, the proposed sharing architecture is suitable to achieve H.264/AVC and AVS signal processing by VLSI implementations.

Ryuichi Ashino - One of the best experts on this subject based on the ideXlab platform.

Mawardi Bahri - One of the best experts on this subject based on the ideXlab platform.

Louis Joseph Kerofsky - One of the best experts on this subject based on the ideXlab platform.

  • low complexity Transform and quantization in h 264 avc
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: Henrique S Malvar, Antti Hallapuro, Marta Karczewicz, Louis Joseph Kerofsky
    Abstract:

    This paper presents an overview of the Transform and quantization designs in H.264. Unlike the popular 8/spl times/8 discrete cosine Transform used in previous standards, the 4/spl times/4 Transforms in H.264 can be computed exactly in integer arithmetic, thus avoiding Inverse Transform mismatch problems. The new Transforms can also be computed without multiplications, just additions and shifts, in 16-bit arithmetic, thus minimizing computational complexity, especially for low-end processors. By using short tables, the new quantization formulas use multiplications but avoid divisions.

J Klima - One of the best experts on this subject based on the ideXlab platform.

  • analytical closed form solution of a space vector modulated vsi feeding an induction motor drive
    IEEE Transactions on Energy Conversion, 2002
    Co-Authors: J Klima
    Abstract:

    The paper presents the analysis of the time response of the stator and rotor currents in induction motor fed by space-vector pulse-width modulated voltage source inverter. This mathematical model uses the Laplace and modified Z-Transform. The solution is made in two steps: (a) finding the Laplace Transform of the stator voltage space vectors; and (b) finding the Inverse Transform of the load currents (original function) using the modified Z-Transform. The solution is not dependent on the number of the pulses of the PWM pattern. All the analytical waveforms were visualized from the derived relations with the program MATHCAD. Experimental results prove the feasibility of the proposed mathematical model.