FFT-based nonuniform filter banks are proposed based on channelsized inverse FFTs applied to nonuniform frequency-partitions (or overlap-add decompositions) of the Short Time Fourier Transform (STFT). Audio filter banks (particularly octave filter banks) are considered as application examples. Trade-offs discussed include perfect reconstruction, aliasing cancellation, flexibility of filterchann...

Theory for jointly optimizing nonuniform analysis and synthesis FIR filter banks with arbitrary filter lengths and an arbitrary delay through the filter bank is developed. The FIR subband coder is optimized with respect to the minimum mean square error between the output and the input signals under a bit constraint. The subband quantizers are modeled as additive noise sources. Theoretical compa...

The main idea of a filter bank is to transform an input signal by subjecting it to some convolution operations, possibly followed by sampling rate reductions. We extend this idea to filter banks that are based on more general twisted convolution operations, which are not necessarily time invariant. Roughly speaking, a twisted convolution is obtained from the well-known convolution operations by...

An efficient approach is described for optimizing the stopband response of the prototype filter for low-delay critically sampled cosine-modulated filter banks in the least-mean-square sense subject to the maximum allowable aliasing and amplitude errors. These low-delay filter banks differ from orthogonal cosine-modulated filter banks, where the filter bank delay is equal to the prototype filter...

In this paper, we propose a new family of perfect reconstruction (PR) complex filter banks, named interleaved discrete Fourier transform modulated filter banks (Interleaved DFT-FBs). In the filter banks, the analysis filters are generated by interlaced exponential modulating two different analysis prototype filters, and the synthesis filters are generated by two different synthesis prototype fi...

Filter banks are arrangements of low pass, bandpass, and highpass filters used for the spectral decomposition and composition of signals. They play an important role in many modern signal processing applications such as audio and image coding. The reason for their popularity is the fact that they easily allow the extraction of spectral components of a signal while providing very efficient imple...

Wavelet and short-time Fourier analysis is introduced in the context of frequency decompo-sitions. Wavelet type frequency decompositions are associated with lter banks, and using thisfact, lter bank theory is used to construct multiplicity M wavelet frames and tight frames. Theway in which lter banks lead to decomposition and recomposition of arbitrary separable Hilbertspaces is...

In this project, two families of filter banks are constructed, then their performance is compared with an image compression system. The one-dimensional and quincunx families of interpolating filter banks are constructed on the lifting scheme, such that they have the properties of perfect reconstruction and arbitrary numbers of vanishing moments. Then the filter banks are applied to images, and ...

In this paper we review some of our recent results on the design of critically sampled and oversampled filter banks for multiple description coding. For the case of critically sampled filter banks, we show that optimal filters are obtained by allocating the redundancy over frequency with a reverse ’water-filling’ strategy. Then we present families of oversampled filter banks that attain optimal...