Oversampled filter banks

Multidimensional Oversampled Filter Banks

We present the characterization and design of multidimensional oversampled FIR filter banks. In the polyphase domain, the perfect reconstruction condition for an oversampled filter bank amounts to the invertibility of the analysis polyphase matrix, which is a rectangular FIR matrix. For a nonsubsampled FIR filter bank, its analysis polyphase matrix is the FIR vector of analysis filters. A major...

Fast Implementation of Oversampled Modulated Filter Banks

This paper presents an efficient implementation of oversampled filter banks derived from a prototype filter by modulation. Via a polyphase analysis, redundancies in the filter operations are removed. With some modifications, a very simple and efficient implementation is found, which is briefly compared to existing realisations.

Quantized Oversampled Filter Banks with Erasures

Oversampled filter banks can be used to enhance resilience to erasures in communication systems in much the same way that finite-dimensional frames have previously been applied. This paper extends previous finite dimensional treatments to frames and signals in l2(Z) with frame expansions that can be implemented efficiently with filter banks. It is shown that tight frames attain best performance...

Quantization Noise Shaping in Oversampled Filter Banks

The use of a noise-shaping system in oversampled filter banks has been shown to improve the effective resolution of subband coders. Although the filter banks directly determine the noise-shaping coefficients, a comparison between theoretical and simulated results has not been done, while the effect of the selection of the filter banks on the performance of the noise-shaping system has not yet b...

Oversampled Windowed Fourier Transform and Filter Banks