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...

This paper analyzes noise reduction using matched filter and wavelet transform in the signals of continuous wave radar and pulse radar. The denoising application of wavelets has been used in spectrum cleaning of atmospheric radar signals. Matched filter has a strong anti-noise ability; it can also achieve accurate pulse compression in a very noisy environment. This paper analyzes the algorithms...

This paper presents a method for designing an orthogonal Hilbert pair of wavelets. The wavelets are generated each by an orthogonal (CQF) filter bank. The scaling filter defining the first filter bank and wavelet is given. The second filter is optimized using an exact semidefinite programming (SDP) description of a special H∞ error measure of the half-sample delay. The result of the SDP problem...

A feature extraction technique for face verification is proposed. It utilises polynomial coefficients derived from 2D discrete cosine transform (DCT) coefficients of neighbouring blocks. Experimental results suggest that the technique is more robust against illumination direction changes than 2D Gabor wavelets, 2D DCT and eigenface methods. Moreover, compared to Gabor wavelets, the proposed tec...

in this paper, a new design of optical channel drop filter based on two- dimensional photonic crystal ring resonators with triangular lattice is proposed. the rods of this structure is silicon with the refractive index nsi=3.46 and the surrounding environment is air with the refractive index of nair=1.the widest photonic band gap obtains for the filling ratio of r/a = 0.2. the filter’s transmis...

This paper shows how to design good biorthogonal FIR filters for wavelet image compression by balancing the space and frequency dispersions of analysis and synthesis lowpass filters. A quality metric is proposed which can be computed directly from the filter coefficients. By optimizing over the space of FIR filter coefficients, a filter bank can be found which minimizes the metric in about 60 s...

By using affine-invariant shape descriptors, it is possible to recognize an unknown planar object from an image taken from an arbitrary view when standard view images of candidate objects exist in a database. In a previous study, an affine-invariant function calculated from the wavelet coefficients of the object boundary has been proposed. In this work, the invariant is constructed from the mul...