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Fast Computation of Integer DCT-V, DCT-VIII, and DST-VII for Video Coding.

Woonsung Park, Bumshik Lee, Munchurl Kim

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    This study introduces faster computation methods for DCT-V and DCT-VIII transforms used in video coding. These new methods significantly reduce computational complexity with minimal impact on coding efficiency.

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    Area of Science:

    • Digital signal processing
    • Video compression algorithms
    • Information theory

    Background:

    • Joint exploration model (JEM) codecs use various integer transforms (DCT, DST) for improved coding efficiency.
    • Fast computation methods for DCT-II and DST-I are established, but less so for DCT-V, DCT-VIII, and DST-VII.

    Purpose of the Study:

    • To develop fast computation methods for N-point DCT-V and DCT-VIII.
    • To optimize these transforms for video coding applications within JEM.

    Main Methods:

    • Decomposition of DCT-VIII into DST-VII with pre- and post-processing matrices.
    • Approximation of integer kernels for DCT-V, DCT-VIII, and DST-VII (N=4, 8, 16, 32) using norm scaling and bit-shift.
    • Integration with quantization for video coding.

    Main Results:

    • Proposed methods effectively reduce matrix operation complexity.
    • Little loss in BDBR (Branch-dependent Bit Rate) performance observed.
    • Average reduction of 38% in additions and 80.3% in multiplications compared to original JEM.

    Conclusions:

    • The developed fast computation methods offer significant complexity reduction for JEM video coding.
    • These optimizations maintain high coding efficiency, making them suitable for practical implementation.