论文标题
适应性转换编码的正同质矩阵代码簿设计
Orthonormal Matrix Codebook Design for Adaptive Transform Coding
论文作者
论文摘要
提出了一种针对非平稳矢量过程的自适应转换编码的优化正顺序转换式代码手册的新型算法。该算法依赖于非平稳过程的固定固定模型，并通过最大程度地减少在固定块向量块的分布上平均变换编码的端到端均方根误差来找到转换式介质的代码。该算法属于块坐标下降算法的类别，它通过将问题从欧几里得空间从欧几里得空间映射到STIEFEL歧管，以计算有效的方式解决了一个中间最小化问题，该问题涉及矩阵正常限制。因此，该算法可以广泛应用于任何自适应转换编码问题。提出了用H265视频编解码器中预测残差获得的初步结果，以证明基于标准DCT的非自适应代码优化的自适应转换代码的优势。
A novel algorithm for designing optimized orthonormal transform-matrix codebooks for adaptive transform coding of a non-stationary vector process is proposed. This algorithm relies on a block-wise stationary model of a non-stationary process and finds a codebook of transform-matrices by minimizing the end-to-end mean square error of transform coding averaged over the distribution of stationary blocks of vectors. The algorithm, which belongs to the class of block-coordinate descent algorithms, solves an intermediate minimization problem involving matrix-orthonormality constraints in a computationally efficient manner by mapping the problem from the Euclidean space to the Stiefel manifold. As such, the algorithm can be broadly applied to any adaptive transform coding problem. Preliminary results obtained with inter-prediction residuals in an H265 video codec are presented to demonstrate the advantage of optimized adaptive transform codes over non-adaptive codes based on the standard DCT.
