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Pointwise Convergence and Uniform Convergence of Wavelet Frame Series 被引量:9
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作者 Zhi Hua ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期653-658,共6页
Pointwise convergence and uniform convergence for wavelet frame series is a new topic. With the help of band-limited dual wavelet frames, this topic is first researched.
关键词 wavelet frame series wavelet orthonormal basis Uniform convergence Pointwise convergence
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New Wavelet Theory and Application in Nondestructive Testing 被引量:1
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作者 张秀峰 施克仁 郑立男 《Tsinghua Science and Technology》 SCIE EI CAS 2004年第5期565-569,共5页
A new ultrasound signal processing model that provides fast real-time performance was devel- oped. The model is based on the “rotation angle series fast wavelet transform” algorithm developed for real- time digita... A new ultrasound signal processing model that provides fast real-time performance was devel- oped. The model is based on the “rotation angle series fast wavelet transform” algorithm developed for real- time digital signal processing. Instead of the traditional convolution-based algorithms, the algorithm uses a cascaded structure which can be quickly implemented on digital signal processors. The algorithm runs twice as fast as and is more flexible than the fast wavelet transform, and is applicable for multi-channel and phased array ultrasound systems. By using this algorithm, multi-channel ultrasound systems, including phased array ultrasound systems can have less complex software and hardware designs, lower cost, smaller size, and especially more powerful functions. 展开更多
关键词 wavelet rotation angle series rotation angle series fast wavelet transform nondestructive testing ULTRASOUND
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