摘要
傅里叶变换(FT)作为一种经典的积分变换,以其为纽带揭露了自然界除时间外的另一个基本物理量,频率。科恩认为尺度是一种像频率一样的物理属性,而链接时间与尺度的纽带为尺度变换(ST)。文中从信号处理的角度,分析了ST本质含义,介绍了一种高效的快速尺度变换数值计算方法,在此基础上,提出可适用一维信号、二维信号的时间尺度(TS)及尺度估计(SE)实现方法。仿真部分综合数字图像、人为构造信号处理结果,验证得出所提方法可行性。
As a classical integral transform,Fourier Transform(FT)reveals a basic physical quantity,frequency,besides the time.Cohen believes that the scale is another physical attribute like frequency,and the link between time and scale is Scale Transform(ST).From the point of view of signal processing,this paper analyzes the essence of ST,and introduces an efficient nu-merical calculation method of Fast Scale Transform.On this basis,the implementation of Time-scaling(TS)and Scale-estimation(SE)is proposed for 1D and 2D signals.Taking digital image,speech signal and artificial signal as processing object,the simula-tion results verify that the proposed TS and SE implementation methods is feasible.
作者
张亮
陈辉
李槟槟
周必雷
陈浩
ZHANG Liang;CHEN Hui;LI Binbin;ZHOU Biei;CHEN Hao(Department of Early Warning Technology,Air Force Early Warning Academy,Wuhan 430019;No.94326 Troops of PLA,Jinan 250000)
出处
《舰船电子工程》
2023年第7期52-55,118,共5页
Ship Electronic Engineering
基金
国家自然科学基金项目(编号:62001510)资助。
关键词
梅林变换
尺度变换
时间尺度
尺度估计
图像处理
mellin transform
scale transform
time-scaling
scale-estimation
image processing Class Number TN911
