This tutorial covers the theory behind MPEG/audio compression. While lossy, the algorithm
can often provide" transparent", perceptually lossless compression, even with factors of 6-to …

Two lapped transforms for subband/transform coding of signals are introduced: a version of
the lapped orthogonal transform (LOT), which can be efficiently computed for any transform …

Multirate filter banks produce multiple output signals by filtering and subsampling a single
input signal, or conversely, generate a single output by upsampling and interpolating …

The authors obtain a necessary and sufficient condition on the 2M (M= number of channels)
polyphase components of a linear-phase prototype filter of length N= 2 mM (where m= an …

A system is proposed in order to split a multi-dimensional signal into N sub-bands, which are
then subsampled by N. Subsequent upsampling and filtering allows the recovery of the …

Splitting a signal into N filtered channels subsampled by N is an important problem in digital
signal processing. A fundamental property of such a system is that the original signal can be …

Perfect reconstruction finite impulse-response (FIR) filter banks are analyzed both in the z-
transform and time domains, showing the alternatives between designs in the two domains …

In this paper, essential features of the recently introduced modified discrete Fourier
transform DFT (MDFT) filter bank are presented. First, it is shown that all analysis and …

The family of lapped orthogonal transforms is extended to include basis functions of arbitrary
length. Within this new family, the extended lapped transform (ELT) is introduced, as a …

This paper presents a general framework for maximally decimated modulated filter banks.
The theory covers the known classes of cosine modulation and relates them to complex …