采用chirp信号调制的中压配电线通信系统

针对中压配电线信道特性,提出了一种基于分数阶Fourier变换(FRFT)的通信方法。以线性调频信号(chirp)作为调制信号,利用线性调频信号在分数阶傅里叶变换域的能量聚焦特性,提高系统的抗噪声干扰和频率选择性衰减的能力。建立了系统的仿真模型,仿真结果证明了方法的可行性。     

基于FrFT的自适应阈值语音滤波降噪研究

针对传统变换域中信号和噪声交叉重叠较大,无法彻底分离去噪的问题,本文提出了一种基于分数阶傅里叶变换的自适应阈值语音增强方法。对带噪语音信号做分数阶傅里叶变换,采用加权方差方法确定其最优变换阶数。作最优阶数下的分数阶傅里叶变换,在分数阶域自适应确定阈值,采用软硬阈值折衷法进行阈值切割,做分数阶傅里叶反变换得到增强语音信号。同时,将本文算法和传统的维纳滤波法和谱减法进行比较。实验数据和仿真结果表明,分数阶域的自适应阈值去噪方法可有效地去除噪声,得到较好的听觉效果,且去噪效果优于维纳滤波法和谱减法。本方法计算量小,易于实现,具有良好的实用性。     

分数阶傅里叶变换在轴承故障诊断中的应用

在对滚动轴承微弱故障诊断时,故障信号容易受到噪声的干扰,为了获取滚动轴承数据的有效故障信息,研究用分数阶傅里叶变换(fractional Fourier transform,FRFT)的方法对滚动轴承工作中产生的微弱故障进行诊断。该方法可以将滚动轴承数据变换到分数阶域的空间中进行分析,在此空间中变换分数阶的阶次从而搜索提取出微弱故障的最大峰值,分析结果表明用分数阶傅里叶算法可以有效的降低其他分量和噪声的互相干扰,准确的提取目标分量,实验结果证实了该方法的有效性和可行性。     

二维随机跳频系统性能分析

针对传统跳频通信信号检测手段成熟,信号参数特征易被提取的问题,本文提出了一种二维随机跳频系统.区别于传统跳频系统使用的正弦基信号,该系统使用不同调频率的Chirp信号作为基信号,使用离散分数阶傅里叶变换结构实现跳频信号的调制.利用多个伪随机码分别控制分数阶傅里叶变换的变换阶次和载波信号中心频率,实现系统参数的二维随机变...     

分数阶傅里叶变换在数字水印中的应用

传统的图像水印技术是基于离散余弦变换,只适用于处理平稳的信号,并且离散余弦变换属于有损的数据压缩过程。而分数阶傅里叶变换可以用来处理非平稳的信号,通过对连续型分数阶傅里叶变换进行离散化采样,得到适合数值计算的离散形式,然后在频率域对幅度中间的系数使用一个随机的正态分布序列进行修改,再经过逆变换,就得到了加入水印的图像。由此提出了改进的基于分数阶傅里叶变换的随机序列水印算法。仿真结果验证了所提出的算法显著地提高了在各种攻击下水印的健壮性。     

一种基于Chirp信号的多数据传输方法研究

以分数阶傅里叶变换为数字信号处理基础,使用单Chirp信号完成多比特的数据传输功能.发送端采用同调频率不同初始频率的Chirp信号作为调制信号,接收端对接收到的信号进行分阶数傅里叶变换,根据分数域能量聚集的不同位置进行解调.此方法可在不影响Chirp载波性能的前提下,完成多数据的传输,进一步提高了通信系统的性能和容量.     

基于Keystone-FRFT的机动弱目标检测算法

针对机动弱目标检测中出现的距离走动和多普勒频率走动问题,在分析回波信号走动的基础上,提出一种基于楔形变换和分数阶傅里叶变换的弱目标检测算法。算法使用楔形变换补偿距离走动,利用分数阶傅里叶变换补偿多普勒频率走动,在低信噪比情况下能有效地检测机动弱目标。仿真分析表明算法有效。     

基于延时相关和FRFT的编队目标架次分辨方法

为较好满足窄带雷达的防空作战需求,提出了一种基于延时相关和分数阶傅里叶变换(FRFT)的空中编队目标架次分辨方法.该方法首先利用延时相关法粗略估计出回波信号的多普勒调频斜率,依据调频斜率和FRFT阶次的对应关系,获得最优变换阶次的粗略值;然后以FRFT后信号的熵值为最小化目标函数,提出一种精确搜索最优变换阶次算法,并以...     

分数阶自相关和FrFT的LFM信号参数估计

基于分数阶自相关和分数阶傅里叶变换的特点,提出了一种LFM信号检测与参数估计方法。相对分数阶傅里叶二维扫描法和匹配傅里叶变换,所提方法将检测与参数估计的二维搜索变为一维搜索,快速实现信号检测和参数估计,在多分量LFM信号情况下借助"Clean"的方法来抑制强分量对弱分量的干扰。计算机仿真表明了该算法在低信噪比多分量LFM信号检测与参数估计中的有效性。     

基于深度学习的水下目标姿态识别

水下安静型目标主动探测与识别问题中,确定目标与发射装置的相对姿态是目标探测的关键。本文结合水下目标声散射回波机理,对目标的声散射回波成分进行信号特性分析,结合分数阶傅里叶变换对声散射回波进行特征提取;利用循环神经网络保存目标回波时间序列信息,实现对序列信号的动态建模;分别将分数阶傅里叶域特征与频谱结构特征作为训练对象,构建水下目标回波角度识别模型并进行对比,实现对不同声波入射角度下目标回波的分类识别。水池实验数据处理结果表明:本文提出的分数阶傅里叶特征与长短期记忆系统结合的深度神经网络模型,各项评估指标均优于以频谱结构为训练特征的深度网络模型,验证了本文方法对目标姿态识别的有效性。     

Research Progress of the Sampling Theorem Associated with the Fractional Fourier Transform

Sampling is a bridge between continuous-time and discrete-time signals, which is important to digital signal processing. The fractional Fourier transform(FrFT) that serves as a generalization of the FT can characterize signals in multiple fractional Fourier domains, and therefore can provide new perspectives for signal sampling and reconstruction. In this paper, we review recent developments of the sampling theorem associated with the FrFT, including signal reconstruction and fractional spectral analysis of uniform sampling, nonuniform samplings due to various factors, and sub-Nyquist sampling, where bandlimited signals in the fractional Fourier domain are mainly taken into consideration. Moreover, we provide several future research topics of the sampling theorem associated with the FrFT.     

基于DPCA-FrFT算法的SAR运动目标参数估计

在双通道的工作模式下,结合DPCA技术和分数阶傅立叶变换实现了对SAR运动目标的定位和两个方向(方位向和地面距离向)上速度的估计。首先建立了双通道SAR系统对运动目标的回波信号模型,阐述了动目标DPCA信号为线性调频信号这个特点,并且根据这个特点采用了分数阶傅立叶变换对其进行检测和参数估计。由于DPCA技术具有良好的杂波对消功能以及FrFT对chirp信号的良好检测效果,在不同信噪比情况下,DPCA-FrFT算法都能有效地抑制静止背景、获得良好的测速和定位效果。仿真结果证明了该算法的正确性和有效性。     

Improved Spectral Representation for Birdcall Based on Fractional Fourier Transform

A novel spectral representation based on fractional Fourier transform (FrFT) is proposed and applied to birdcall analysis. The FrFT-based spectrogram of a signal is derived and compared with its FT-based counterpart,and the spectrum gathering method is used to show the energy distribution related to the pitch frequency. The fixed transform order and adaptive orders for FrFT are tested. The fixed order can be obtained empirically or calculated according to the known chirp rate. The adaptive optimal orders are determined by using ambiguity function. Experimental results with birdcalls show that the FrFT-based spectrogram with an optimal transform order has higher resolution than its STFT-based counterpart,and the better performance can be achieved if adaptive orders are used.     

(研究生论坛)IEEE802.11g无线局域网中基于FrFT角分多址的多流OFDM技术

为了提高数据传输速率,本文把分数阶傅立叶变换（FrFT）角度看作一种时频联合资源,通过设计最优分配准则提出IEEE802.11g无线局域网（WLAN）中基于FrFT角分多址（ADMA）的多流正交频分复用（OFDM）技术。发送端通过不同角度的逆分数阶傅立叶变换（IFrFT）对多个数据流进行调制,由于每个数据流中不同子信道上调制基函数的相互正交性,以及不同数据流之间相同子信道上调制基函数的近似正交性,接收端可以通过FrFT域相关检测很好地抑制各数据流间干扰。最后的仿真结果表明：相比传统IEEE802.11g中单流OFDM技术,系统传输速率可以得到显著提高。     

Chirp-Rate Resolution of Fractional Fourier Transform in Multi-component LFM Signal

Distinguishing close chirp-rates of different linear frequency modulation (LFM) signals under concentrated and complicated signal environment was studied. Firstly, detection and parameter estimation of multi-component LFM signal were used by discrete fast fractional Fourier transform (FrFT). Then the expression of chirp-rate resolution in fractional Fourier domain (FrFD) was deduced from discrete normalize time-frequency distribution, when multi-component LFM signal had only one center frequency. Furthermore, the detail influence of the sampling time, sampling frequency and chirp-rate upon the resolution was analyzed by partial differential equation. Simulation results and analysis indicate that increasing the sampling time can enhance the resolution, but the influence of the sampling frequency can be omitted. What’s more, in multi-component LFM signal, the chirp-rate resolution of FrFT is no less than a minimal value, and it mainly dependent on the biggest value of chirp-rates, with which it has an approximately positive exponential relationship.     

一种基于FrFT的ISAR多目标成像方法

针对逆合成孔径雷达（IsAR）同一波束内多个运动目标在距离上重叠时的成像问题,提出了一种基于分数阶傅里叶变换（FrFT）的ISAR多目标成像新算法．首先建立多目标回波模型,通过分析各目标平动多普勒历程差异,得出各目标回波在同一距离门内均可近似为一组线性调频信号的结论．然后结合FrFT和Clean思想（FrFT-Clean）对多目标回波信号中各个目标的回波分量进行分离,最后用常规算法对各个单目标分别进行成像．仿真结果验证了该方法的有效性．     

Intermittent Clutter Removal Approach for Wind Profiler Data Based on Fractional Fourier Transform

Through the analysis of the target characteristics and according to the intermittent clutter bursting and short duration characteristics, a new method for the clutter recognition based on the fractional Fourier transform (FRFT) is proposed. This method is predicated on the fact that the FRFT perfectly localizes a chirp signal as an impulse when the angle parameter of the transform matches the chirp rate of the chirp signal. The method involves detecting the presence of the intermittent clutter and correctly estimating its orientation in the time-frequency plane, removing the intermittent clutter in the fractional domain, and completing wind estimation by the power spectrum. By testing the artificial WPR-like signal and data measured from the field, we verify that the FRFT-based method is very effective.     

Intermittent Clutter Removal Approac for wind Profiler Data Based on Fractional Fourier Transform

Through the analysis of the target characteristics and according to the intermittent clutter bursting and short duration characteristics, a new method for the clutter recognition based on the fractional Fourier transform (FRFT) is proposed. This method is predicated on the fact that the FRFT perfectly localizes a chirp signal as an impulse when the angle parameter of the transform matches the chirp rate of the chirp signal. The method involves detecting the presence of the intermittent clutter and correctly estimating its orientation in the time-frequency plane, removing the intermittent clutter in the fractional domain, and completing wind estimation by the power spectrum. By testing the artificial WPR-like signal and data measured from the field, we verify that the FRFT-based method is very effective.     

在分数傅立叶域上进行的超宽带同步捕获

针对在低信噪比情况下超宽带时域同步捕获的精度会明显下降的问题,考虑在分数域上进行同步捕获及采用域滤波的方法将四项加权的分数傅立叶定义应用在同步捕获中,其优点是可利用FFT的快速算法,且算法简单易行。利用分数域上兼顾时域和频域信息及随着分数阶增高高斯白噪声幅度逐渐平坦的特性,进行分数域上的相关捕获及分数域滤波。实验结果表明,在低信噪比时,分数域的同步捕获精度比时域上的更高。     

基于分数阶傅里叶变换的LFM干扰抑制算法

针对利用分数阶傅里叶变换(fractional Fourier transform,FrFT)进行干扰抑制时门限阈值设定的难题,为有效抑制DS/FH系统中的线性调频(linear frequency modulated,LFM)干扰,通过深入分析DS/FH和LFM信号的FrFT性质,提出了一种新的LFM干扰抑制算法,该算法充分利用FrFT时频面坐标轴旋转性质,通过计算信号的不同阶次FrFT并搜索其峰值,确定信号最优FrFT阶次,完成对LFM干扰信号的判别,最后采用频域陷波来抑制LFM干扰。理论分析和仿真实验表明,该算法能够有效的剔除DS/FH系统中的LFM干扰信号,不需要阈值门限设定,算法具有较好的稳健性和普适性。