CAJ | 학술논문

采用形态滤波器对信号进行去噪，结构元素尺寸的确定是最重要的一环。然而绝大多数的确定方法都是凭借经验或者同理想波形对比来优化结构元素尺寸，前者缺乏精确性，后者则缺少实际意义。针对这些问题，提出了一种通过探测因子函数来确定结构元素尺寸的新方法。首先，通过一个探测因子函数获得信号的尺寸信息。然后，对获得信息求导以找到合适的结构尺寸。最后采用多尺度金子塔形态滤波器来实现去噪。随机信号的仿真去噪以及激光脉冲雷达回波信号的去噪实验表明，该方法有着比较好的去噪效果，并且与其他常用形态滤波方法相比，既不依赖经验，也不引入理想波形。因此该方法有着非常好的前景。
채용형태려파기대신호진행거조，결구원소척촌적학정시최중요적일배。연이절대다수적학정방법도시빙차경험혹자동이상파형대비래우화결구원소척촌，전자결핍정학성，후자칙결소실제의의。침대저사문제，제출료일충통과탐측인자함수래학정결구원소척촌적신방법。수선，통과일개탐측인자함수획득신호적척촌신식。연후，대획득신식구도이조도합괄적결구척촌。최후채용다척도금자탑형태려파기래실현거조。수궤신호적방진거조이급격광맥충뢰체회파신호적거조실험표명，해방법유착비교호적거조효과，병차여기타상용형태려파방법상비，기불의뢰경험，야불인입이상파형。인차해방법유착비상호적전경。
Using the morphological filters for de-noising, the determination of the structuring element′s size is the most important step. However, most of the determination methods depend on either the experience or a comparison with the ideal waveform for optimizing structuring element′s size, the former is lack of accuracy, the latter is lack of practical significance. Aiming at these problems, the paper proposes a new method that uses a detection factor function determinate the structuring element′s size. Firstly, the message of signal structuring size was obtained by the use of detection factor function. Secondly, with the derivation of the message, proper sizes of the structuring elements were acquired. Finally, the multiscale pyramid type filters was used to de-noise the signal. Through the simulation of random signal de-noising and the de-noising experiment of lidar return signals, this method demonstrated better de-noising effect. Comparing with other usual morphological filtering methods, it neither depends on experience nor the introduction of the ideal waveform. Therefore, this method has a promising future.