New Directions in One and Multidimensional Multirate Systems, Filter Banks, and Applications

一维和多维多速率系统、滤波器组和应用的新方向

• 批准号: 9215785
• 负责人: Palghat Vaidyanathan
• 金额: $ 16.24万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1996-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9215785&HistoricalAwards=false
• 关键词: New; Directions; Multidimensional; Multirate; Systems

Vaidyanathan This research addresses coding gain optimization in one dimensional paraunitary filter banks. Paraunitary filter banks include both subband and transform coders as extreme special cases, and have the advantage of perfect signal recovery in the absence of quantization. This approach opens up a large class of problems, some fundamental, in signal processing and in systems theory, all of which are being addressed. A number of properties of the filter bank transformer that parallel traditional Fourier transform properties (e.g., the convolution theorem) are also being addressed. Again, the coding gain optimization for paraunitary and orthonormal convolvers is being addressed. The above research is also being generalized to nonuniform filter banks (i.e., systems with unequal decimation ratios, as in the most common discrete time wavelet transformers). Finally, several extensions of these ideas to multidimensional multirate systems are being considered.

Vaidyanathan 本文研究一维仿酉滤波器组的编码增益优化问题。准酉滤波器组包括子带和变换编码器作为极端特殊情况，并且具有在没有量化的情况下完美的信号恢复的优点。这种方法开辟了一个大类的问题，一些基本的，在信号处理和系统理论，所有这些都正在解决。滤波器组Transformer的与传统傅立叶变换特性并行的多个特性（例如，卷积定理）也被提出。再次，对仿酉和标准正交卷积器的编码增益优化正在得到解决。上述研究也被推广到非均匀滤波器组（即，具有不等抽取比的系统，如在最常见的离散时间小波变换器中）。最后，这些想法的多维多速率系统的几个扩展正在考虑中。