针对传统阈值函数对动调陀螺输出信号去除噪声存在阈值函数不连续或恒定偏差问题,在D.L.Donoho和I.M.John—stone提出的多分辨分析小波阈值去噪方法的基础上,提出了一种新的阈值函数;新阈值函数表达式简单易于计算,在对动调陀螺漂移信号去除噪声时,它既克服了硬阈值函数不连续的缺点,同时又克服了软阈值函数中估计小波系数与分解小波系数之间存在着恒定偏差的缺陷,具有硬、软阈值函数不可比拟的灵活性;通过动调陀螺实测信号的实验表明,新阈值函数可以有效地去除白噪声干扰,无论在视觉效果上还是在信噪比和均方误差定量指标上,均优于传统的去噪方法,具有较高的实用价值。
In traditional threshold function to dynamically tuned gyro denoising output signal exists threshold function discontinuity or constant deviation problem, a new threshold function is put forward, which is based on the multiresolution analysis wavelet threshold dennising method introduced by D. L. Donoho and I. M. Johnstone. The new threshold function is simple and easy to calculate, and overcomes the shortcoming of the hard threshold method with discontinuous function. At the same time, it overcomes the shortcoming that there is an invariable dispersion between the estimated wavelet coefficients and the decomposed wavelet coefficients of the soft threshold method. The new threshold function is more elastic than the hard and soft threshold function. The experiments for dynamically tuned gyro drift measurement signals show that the new threshold function can suppress the white noise effectively, it is better than traditional denoising methods in the visual effect and Signal Noise Ratio (SNR) and Mean Square Error (MSE). Thus, it has high practical value.