Multiwavelet Packets and Frame Packets of L
نویسنده
چکیده
The orthonormal basis generated by a wavelet of L(R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L(R) is called the multiwavelet packet basis. The concept of wavelet frame packet is also generalized to this setting. Further, we show how to construct various orthonormal bases of L(R) from the multiwavelet packets.
منابع مشابه
A characterization of multiwavelet packets on general lattices
The objective of this paper is to establish a complete characterization of multiwavelet packets associated with matrix dilation on general lattices $Gamma$ in $mathbb R^d$ by virtue of time-frequency analysis, matrix theory and operator theory.
متن کاملMULTIWAVELET PACKETS AND FRAME PACKETS OF L 2 (R d)
The orthonormal basis generated by a wavelet of L 2 (R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L 2 (R d) is called the multiwavelet packet basis. The concept of wavelet frame packet is also gen...
متن کاملبررسی مشکوکین به بلع
One method of drug smuggling is body packing or body stuffing, placement of narcotics (opium, heroin, hashish, …) inside intestinal tract for transfer from city to city or country to country. Estimating of the methods for transferring, content of packets, packaging, cause of death and results of diagnostic and therapeutic methods can effectively decrease the number of body packer and law execut...
متن کاملM1, M2, ..., Mk/G1, G2,..., Gk/l/N Queue with Buffer Division and Push-Out Schemes for ATM Networks (RESEARCH NOTE)
In this paper, loss probabilities and steady state probabilities of data packets for an asynchronous transfer mode (ATM) network are investigated under the buffer division and push-out schemes. Data packets are classified in classes k which arrive in Poisson fashion to the service facility and are served with general service rate under buffer division scheme, finite buffer space N is divided in...
متن کاملSTABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND OWING OVER WATER.
Asymptotically exact and nonlocal fourth order nonlinear evolution equations are derived for two coupled fourth order nonlinear evolution equations have been derived in deep water for two capillary-gravity wave packets propagating in the same direction in the presence of wind flowing over water.We have used a general method, based on Zakharov integral equation.On the basis of these evolution eq...
متن کامل