小波变换中具有任意阶正则性及线性相位FIR滤波器的逼近

The Approximation of Finite Impulse Response Filter with any Order of Regularity and Linear-Phase in Wavelet Transform

本文提出了小波变换中线性相位具有任意阶正则性的FIR共轭镜像滤波器的逼近方法，证明用此方法获得的滤波器均方误差最小，并比较了它的幅频特性、能量集中特性、正则性.实验表明，本文得到的滤波器具有很好的综合性能，适于进行数据压缩的应用．

A method for the approximation of linear-phase finite impulse response(FIR)quadrature mirror fiber with any regularity in wavelet transform is proposed.It is proved that the obtained filters have the least mean square error.The filter's magnitude-frequency, energy concentration and regularity characteristics are compared with other similar filters. Experiments have showed that the filters have excellent feature and are suitable to the compression of data.