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介绍了Mallat快速小波分解和重构算法,分析了一种可以大大降低运算负担,并且十分易于硬件实时实现的快速算法.该算法不再需要小波变换过程中的内插和抽取步骤,给出了相应的分解和重构过程的公式.对MEMS陀螺仪测量信号的仿真结果表明:算法只需更短的处理时间就可以完成去噪声过程,并且可以取得同样的去噪效果.在TMS320C6713芯片上实现了该算法,每个数据的处理时间只需0.014ms,静态漂移信号的标准差也从78.435 5(°) /h降到36.763 5(°) /h,完全可以满足信号实时处理的需要.
The Mallat fast wavelet decomposition and reconstruction algorithm is introduced and a fast algorithm which can greatly reduce the computational burden and is easy to implement in real time by hardware is analyzed.The algorithm does not need the interpolation and decimation steps in the wavelet transform process, The corresponding decomposition and reconstruction process formula.The simulation results of MEMS gyroscope measurement signals show that the algorithm can achieve the de-noising process with a shorter processing time and can achieve the same denoising effect.On the TMS320C6713 chip With this algorithm, the processing time of each data is only 0.014ms, and the standard deviation of static drift signal is also reduced from 78.435 5 ° / h to 36.763 5 ° ° / h, which can meet the need of signal real-time processing.