Several classes of images contain a clearly determined set of basic signals. This permits the development of signalmatched filter banks for image compression. A new approach for the derivation of signal-optimized filter banks using nonlinear optimization is presented here. Filters optimized with respect to the vessel and background signal of angiographic images are provided as a design example....

A flexible multiscale and directional representation for images is proposed. The scheme combines directional filter banks with the Laplacian pyramid to provides a sparse representation for twodimensional piecewise smooth signals resembling images. The underlying expansion is a frame and can be designed to be a tight frame. Pyramidal directional filter banks provide an effective method to implem...

The oblique extension principle introduced in [3, 5] is a general procedure to construct tight wavelet frames and their associated filter banks. Symmetric tight framelet filter banks with two high-pass filters have been studied in [13, 16, 17]. Tight framelet filter banks with or without symmetry have been constructed in [1]–[21] and references therein. This paper is largely motivated by severa...

We consider optimal orthonormal filter banks for subband coding of wide sense cyclostationary signals, with -periodic second order statistics. An -channel over decimated uniform filter bank, with -periodic analysis and synthesis filters, is used as the subband coder. An average variance condition is used to measure the output distortion. We show that for at least three potential bit allocation ...

This paper treats the problem of designing eecient FIR analysis-synthesis lter banks with system delays that can be pre-speciied. A framework is introduced that is comprised of the cascade of several distinctive matrices with invertibility properties. The explicit form of the matrices guarantees computational ee-ciency and exact reconstruction, and allows for control over the system delay.

In this work, coding performances are analyzed for filter banks obtained from inversion of Block Wavelet Transforms (BWT) that match to specific Karhunen–Loeve Transforms (KLT). BWTs are orthogonal matrix transforms that can be obtained from orthogonal subband filter banks. Although the construction methodology of BWT is clear, the reverse operation was not researched. Here, the filters of the ...

This paper proposes a synthesis method of 2-channel IIR paraunitary filter banks by successive extraction of 2-port lattice sections. When a power symmetry transfer function is given, a filter bank is realized as cascade of paraunitary 2-port lattice sections. The method can synthesize both oddand even-order filters with Butterworth or elliptic characteristics. The number of multiplications per...

This correspondence deals with multiwavelets, which are a recent generalization of wavelets in the context of time-varying filter banks and with their applications to signal processing and especially compression. By their inherent structure, multiwavelets are fit for processing multichannel signals. This is the main issue in which we will be interested here. The outline of the correspondence is...

In this paper, design methods for perfect reconstruction (PR) oversampled cosine-modulated filter banks with integer oversampling factors and arbitrary delay are presented. The system delay, which is an important parameter in realtime applications, can be chosen independently of the prototype lengths. Oversampling gives us additional freedom in the filter design process, which can be exploited ...