离散正交小波包及其在噪声抑制中的应用

研究有限长序列的小波包处理和噪声抑制的方法，方法用正交共轭滤波器构造有限维内积空间的正交值和分解及有限长离散小波包，分析了噪声的小波包分解系数的特性，并提出小波包变换域降噪的方法。

Discrete Orthogonal Wavelet Packets and Its Application to Reducing Noise

Aim\ To study the methods of wavelet packet decomposition and noise suppression of finite length signals Methods By using the orthogonal guadrature filters, the constructing of the direct sum decomposition of finite dimension space with inner product and the discrete wavelet packets was presented The property of wavelet packet coefficients of noise was studied The method of reducing noise in wavelet packet domain was proposed Results and Conclusion The experimental results of noise reducing for a sine signal and a exponentially damped cosine signal support the efficiency of hard threshold method based on the optimum wavelet packet basis decomposition coefficients