Optimization Issues in Digital Filter Banks

这个项目涉及信息的压缩，以便有效地传输和存储。 信息可以是最一般的类型，但是这里的方法考虑了数据中的冗余，该数据将其自身表示为谱分布。 这是在称为子带编码的压缩方案的帮助下完成的。 在该方案中，可以利用与人类感知系统（例如听觉或视觉系统）有关的信号的频谱特性以及特性。 我们正在解决几个基本问题，在子带码的设计和实现。 正交以及双正交子带编码器的优化正在考虑在这个项目中。 我们还解决了非均匀子带编码器的情况下，这是最适合的情况下，音频和图像编码;和非带限信号的采样和重建的理论，显示这样的理论可以利用在量化和压缩数据。 这方面的研究推广了家庭的过采样模数转换器的情况下，非带限信号。 另一个正在研究的主题是一类特殊的子带编码器，称为循环编码器，这是潜在的更大的编码效率的能力。 此类对于压缩独立数据的短块特别有用。

This project deals with the compression of information for efficient transmission and storage. The information can be of the most general kind, but the approach here takes into account the redundancy in the data which expresses itself as a spectral distribution . This is done with the help of a compression scheme called subband coding. In this scheme, the spectral characteristics as well as the characteristics of the signal, which pertain to the human perceptive systems such as the hearing or visual system, can be exploited. We are addressing several fundamental issues in the design and implementation of subband codes. The optimization of orthonormal as well as biorthogonal subband coders is being considered in this project. We are also addressing the cases of nonuniform subband coders, which are most appropriate for the case of audio and image coding; and the theory of sampling and reconstruction of non bandlimited signals, showing how such a theory can be exploited in quantization and compression of data. This aspect of the research generalizes the family of oversampled analog- to-digital converters to the case of non bandlimited signals. Another topic under investigation is a special class of subband coders called cyclic coders, which are potentially capable of greater coding efficiency. This class is especially useful for the compression of short blocks of independent data.