基于近似核DFT的多正弦信号快速检测和频率估计算法  

Detection and Fast Frequency Estimation of Multi-Component Sinusoidal Signals Using Approximate Kernel DFT

作　　者：杜正聪[1,2] 祝俊[1] 唐斌[1] 

机构地区：[1]电子科技大学电子工程学院,成都611731 [2]攀枝花学院电气信息工程学院,四川攀枝花61700

出　　处：《电子科技大学学报》2012年第2期192-197,共6页Journal of University of Electronic Science and Technology of China

基　　金：部级预研基金;四川省杰出青年学术技术带头人培育计划(2010JQ0041)

摘　　要：基于近似核DFT,提出多正弦信号快速检测和测频校正算法,利用近似核DFT傅里叶系数实部或虚部系数内插构造频率校正项,以及实部或虚部最大值与平均值的比值确定检测门限,避免了常规插值校正和检测算法的复数运算,并实现了多正弦信号的非监督递归稳健检测。给出了算法的快速硬件实现原理,并对线性调频信号检测的适用性进行了讨论。仿真和硬件验证证实了算法的有效性。By using the approximate kernel DFT,an improved algorithm for detection and frequency estimation of multi-component sinusoidal signals is presented.A term for correct the frequency is constructed by using the real parts or the imaginary parts of the approximate kernel DFT coefficients,and a robust unsupervised threshold for detecting sinusoidal signals formed by using the ratio of the maximum value to median value of real parts or imaginany parts.The algorithm avoids the complex operations in the traditional correction and detection algorithms.Besides,a hardware implementation scheme,approximate kernel FFT is introduced and detection of the chirp signal is studied using the approximate kernel FFT as well.Examples are provided to illustrate the effectiveness of the presented algorithm.

关 键 词：近似核 傅里叶系数 傅里叶变换 正弦信号 频率估计 

分 类 号：TN957.51[电子电信—信号与信息处理]