小波框架的冗余可导致鲁棒性，冗余使得低精度下获得的小波系数能在相对高的精度下重建原始信号。
Wavelet frame redundancy leads to robustness, that wavelet transform coefficient obtained in low accuracy can be used to reconstruct original signal in comparative high accuracy.
在探索单尺度径向小波框架与径向基函数网络对函数逼近特性相似的基础上，构造了单尺度径向基小波网络。
Based on the single scaling wavelet frame theory and radial basis function neural network, a multi dimensional input and output wavelet network is constructed.
小波框架理论是信号处理的一种有效工具，目前已经广泛应用于小波分析、信号分析、图像处理数值计算等理论和应用领域。
Frame theory is one of efficient tools in the signal processing. At present frame theories have been widely used in wavelet analysis, image processing, numerical analysis, etc.
基于贝叶斯证据框架下的最小二乘小波支持向量机，设计了一种新型模拟电路故障诊断方法。
Based on least squares wavelet support vector machines (LS-WSVM) within the Bayesian evidence framework, a systematic method for fault diagnosis of analog circuits was proposed.
介绍了小波神经网络的数学框架及其误差反向学习算法。
The mathematic frame of the neural network and error back propagation algorithm were introduced.
结合图像压缩编码的具体应用，从硬件可实现性和计算量两个方面对比了提升框架变换和小波变换。
Combined with various applications in image coding and compression, lifting scheme transform is compared with wavelet transform in both hard realization and computation burden.
针对图像序列中红外弱小目标的检测与跟踪中遇到的难点，即信噪比低、帧间相对位移小等问题，提出一种基于小波提升框架及小波能量的目标检测算法。
To solve the difficulties in dim target detection, such as low SNR and small-scale displacement, a new automatic target detection algorithm based on lifting scheme and wavelet energy is proposed.
并且，基于冗余小波变换视频编码的框架，提出了一种多描述视频编码新方法，该方法以牺牲少量编码效率为代价，来提高编码系统的传输鲁棒性。
Furthermore, based on the redundant wavelet video coding system, a new multiple description coding scheme is proposed, which can enhance the transmission robustness with low redundancy.
并且，基于冗余小波变换视频编码的框架，提出了一种多描述视频编码新方法，该方法以牺牲少量编码效率为代价，来提高编码系统的传输鲁棒性。
Furthermore, based on the redundant wavelet video coding system, a new multiple description coding scheme is proposed, which can enhance the transmission robustness with low redundancy.
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