8 system, closely models the critical bands of human hearing. Filter design methods were shown for the octave band lters and the third octave lters, as well as calculating the corresponding costs in latency, memory and complexity. In this system, the amount of memory required comes from two places: the delay lines inserted into the DTWT to ensure subband time synchronization , and the FIR lters...

Classically, the filter banks (FB’s) used in source coding schemes have been chosen to possess the perfect reconstruction (PR) property or to be maximally selective quadrature mirror filters (QMF’s). This paper puts this choice back into question and solves the problem of minimizing the reconstruction distortion, which, in the most general case, is the sum of two terms: a first one due to the n...

Principal component lter banks (PCFB's) sequentially compress most of the input signal energy into the rst few subbands, and are mathematically de ned using the notion of majorization. In a series of recent works, we have exploited connections between majorization and convexity theory to provide a uni ed explanation of PCFB optimality for numerous signal processing problems, involving compressi...

The recently introduced exponentially modulated filter bank (EMFB) is a 2M-channel uniform, orthogonal, critically sampled, and frequency-selective complex modulated filter bank that satisfies the perfect reconstruction (PR) property if the prototype filter of an M-channel PR cosine modulated filter bank (CMFB) is used. The purpose of this paper is to present various implementation structures f...

Empirical tests have been developed for evaluating the numerical properties of multirate M -band filter banks represented as N ×M matrices of filter coefficients. Each test returns a numerically observed estimate of a 1 × M vector parameter in which the m element corresponds to the m filter band. These vector valued parameters can be readily converted to scalar valued parameters for comparison ...

Empirical tests have been developed for evaluating the numerical properties of multirate M -band filter banks represented as N×M matrices of filter coefficients. Each test returns a numerically observed estimate of a 1×M vector parameter in which themth element corresponds to themth filter band. These vector valued parameters can be readily converted to scalar valued parameters for comparison o...

Symmetric pre-extension is a standard approach to boundary handling for finite-length input vectors with linear phase filter banks. It works with both conventional linear implementations and so-called reversible, or integer-to-integer, implementations of odd-length linear phase (whole-sample symmetric) filter banks. In comparison, significant difficulties arise when using symmetric pre-extensio...

Wavelets, filter banks and multiresolution signal analysis, have been used independently in the fields of applied mathematics, computer vision and signal processing. It is interesting to note that they performed similar functions in different fields. It is recently, that they converged to form a single theory. In the paper, it is shown that the fundamental idea was the same in all the fields i....

Multirate filter banks are fundamental systems commonly used in digital signal processing (DSP). Typically, they are used to decompose a discrete-time signal into a set of frequency selective components called subband signals. Filter banks have been found to be useful for lossy data compression schemes such as MP3 and JPEG 2000, denoising, and signal estimation. In the last decade, transmultipl...

In this paper, the theory and design of a class of PR cosinemodulated nonuniform filter bank is proposed. It is based on a structure previously proposed by Cox, where the outputs of a uniform filter bank is combined or merged by means of the synthesis section of another filter bank with smaller channel number. Simplifications are imposed on this structure so that the design procedure can be con...