this paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a con...

In this paper, we propose an audio coder for high quality low bit-rate applications based on the wavelet-packet transform. The primary goal of the proposed coder will be to combine high quality reconstructed audio with shorter delay than existing methods while keeping the bit rate low. Present audio coders, such as MPEG, are capable of transparent or near-transparent monophonic CD quality at 12...

ECG Arrhythmia Classification Based on Wavelet Packet Transform and Sparse Non-Negative Matrix Factorization

Classical discrete wavelet packet transforms are sensitive to changes in image orientation and translation. Therefore, it is hardly possible to extract rotation invariant features from images in the transform domain. This paper proposes several algorithms for invariant discrete wavelet decomposition to produce an invariant representation for an image. The procedure can be divided into several s...

Complex wavelet Packet modulation CWPM system has gained special interest as compared with traditional WPM due to its positive features like shift insensitivity, good directionality, and presence of phase information. The objective of this paper is to design a baseband π/4-DQPSK CWPM transceiver and implementing it on FPGA hardware. The design uses 8point Discrete Wavelet Packet Transform DWPT/...

Rapid growth of wireless applications and services has made it essential to address spectrum scarcity problem. In this context, an emerging technology, cognitive radio (CR) has been come out to solve this spectrum scarcity problem. The most important function of cognitive radio is spectrum sensing which requires more accuracy & low complexity. This paper proposes spectrum sensing technique usin...

A generalization of the Discrete Wavelet Packet Transform (DWPT), referred to as Overlapping Discrete Wavelet Packet Transform (ODWPT), is proposed. In contrast to the traditional DWPT, the ODWPT assumes overlapping among the frequency sub-bands at various levels of the transform. Based on this overlapping strategy, a new set of speech features that is specially designed for speaker recognition...

0167-8655/$ see front matter 2010 Elsevier B.V. A doi:10.1016/j.patrec.2010.04.016 * Corresponding author. Tel.: +86 10 62788613x810 E-mail addresses: [email protected] edu.cn (W. Xu), [email protected] (Q. Dai). The most widely used basis selection algorithm for adaptive wavelet packets is the optimal basis selection method, which first grows a full wavelet packet tree and then...

Our motive of this study is to develop an application of the wavelet packet to PIV image compression processing in order to improve the spatial resolution and reliability furthermore. It was found that the reconstructed PIV image with a lower compression ratio might emphasize particle edges at a relatively high spatial resolution. The reconstructed PIV image with a higher compression ratio may ...

An algorithm for the identification of the parameters of models, based on the least-squares method and exploiting the properties of the signal wavelet packet analysis, has been proposed. A short introduction to wavelet and wavelet packets’ analysis was presented. It has been shown that the n-th step of the Walsh wavelet packet analysis can yield filtered, smooth forms of the deterministic or ra...