一种基于频率校正的BPSK信号高精度载频估计算法

为了实现BPSK信号载频的高精度估计,提出一种基于频率校正的高精度BPSK信号载频估计算法。算法通过非线性变换将BPSK信号的载频估计问题转化为对点频信号的估计,再用DFT对点频信号进行粗估计,针对DFT估计频率分辨率差的问题,采用相位差校正法对DFT估计频率进行校正,从而实现BPSK信号载频的高精度估计。最后,通过性能分析和计算机仿真验证了算法的有效性,其结果表明:该算法在低信噪比情况下能获得较好的估计精度,在高信噪比情况下,估计精度大幅提高。     

基于DFT相位的正弦波频率和初相的高精度估计方法

提出一种新的基于DFT相位的正弦波信号频率和初相的高精度估计方法.利用分段DFT频谱的相位差消除了初相对频率估计的影响且避免了相位测量模糊问题.给出了频率和初相估计的均方根误差计算公式.理论分析和Monte Carlo模拟结果显示频率估计均方根误差接近Cramer-Rao(CR)下限,初相估计均方根误差略高于CR下限的2倍.阈值信噪比远远低于基于时域瞬时相位的频率和初相估计方法.在信噪比为6dB、采样点数为1024的情况下,频率估计均方根误差约为DFT频率分辨率的1%,初相估计均方根误差约为2度.该方法已用于FMCW液位测量雷达并取得1mm距离测量精度.     

一种新的正弦信号频率和初相估计方法

提出了一种新的正弦信号频率和初相估计方法——频谱遍历法.该方法通过改变理想正弦信号频谱峰值实现对采样信号频谱峰值的遍历.分析了噪声对信号频谱幅度的影响,并以此给出了谱线遍历范围的选取准则.先估计频率,采用移频操作达到了良好的频域稳定性;再估计相位,避免了相位测量模糊的问题.在信噪比为6dB、采样点数为1024的情况下,频率估计均方根误差约为DFT频率分辨率的0.8％,初相估计均方根误差约为1.5°.Monte Carlo仿真表明,在达到一定信噪比或采样长度时,该方法的频率估计精度可突破CR下限,初相估计精度基本达到CR下限.     

噪声背景下一种正弦信号频率估计的新插值算法

本文研究噪声中正弦信号频率的估计问题.结合DFT变换和插值方法,提出了一种基于DFT变换系数的频率估计算法,其计算简单.结果表明,该方法有效地改善了频率估计精度,且便于工程实现.     

一种高精度单频信号频率估计算法

根据离散傅里叶变换(DFT)理论和其系数的特点,提出了一种信号离散傅里叶变换系数来构造频率修正项的单频信号频率估计算法。算法利用峰值及前后1个位置的DFT变换系数得到频率修正项的初始值,再迭代计算修正后峰值前后位置的DFT系数来得到频率修正项的精细值。理论分析和仿真结果表明,算法在低信噪比下具有好的频率估计精度并能减少迭代次数。     

一种高精度的TOA估计方法

提出了一种 CDMA系统的高精度的信号到达时延(TOA)的估计方法。在不提高采样频率的情况下,使用积分-清除电路对接收信号进行采样,将离散信号用离散傅里叶变换(DFT)转换到频率域中,然后根据 CDMA信号模型和多径信道模型以及已知的扩频码的离散频谱,估计出信号相对于一个码片周期的整数部分 TOA;再在离散频率域中用最小二乘法估计出信号到达的小数部分 TOA,该方法即使在采样频率不高的情况下,也有很高的精度,而且运算量小,因此是一种有效的高精度 TOA估计方法。     

单频信号快速频率估计算法比较及改进

本文首先讨论并分析了各种插值DFT(离散傅里叶变换)算法,然后提出了一种实正弦信号的快速插值频率估计方法。该方法只需 3个DFT变换系数的实部构造频率修正项,计算量低,具有精度高、测频速率快的特点。计算机模拟和FPGA仿真均证实了该方法的有效性。     

连续信号频谱分析及误差研究

实际中持续时间无限长信号或非带限信号,需要对信号进行预处理。由预处理和离散傅里叶变换DFT近似拟合得到连续信号频谱,会产生频谱混叠、栅栏效应和截断效应。本文分析了DFT进行连续信号频谱分析的原理和步骤,分析了上述过程产生误差的原理和相应的解决对策,用理论和实例论证了如何合理选择分析参数,平衡频率分辨率和误差效应。     

基于改进DFT相位差的正弦波频率估计

针对基于离散傅里叶变换( DFT)相位差的正弦波频率估计方法对频偏敏感的问题,提出了一种改进DFT相位差频率估计方法。首先推导了DFT相位差法频率估计的均方误差,然后提出了基于Rife插值的改进DFT相位差频率估计方法,较好地解决了正弦波频率估计对频偏敏感的问题。仿真实验结果表明,改进方法在各种频偏下均能取得较高的估计精度,估计性能接近克拉美罗限( CRLB)。     

基于Quinn算法和相位差法的正弦波频率估计综合算法

Quinn算法是正弦波频率估计中应用广泛、计算量小且稳定性较好的算法,但是在低信噪比时当信号频率靠近离散傅立叶变换(DFT)的量化频率时,Quinn算法估计误差较大;而改变窗长相位差法在这种情况下具有较高的估计精度,但当信号频率位于两相邻离散傅立叶变换(DFT)的量化频率中心区域时,其估计误差很大.根据这两者特点,本文提出了一种基于Quinn算法和改进的改变窗长相位差法的正弦波频率估计综合算法,给出理论计算过程及相关误差公式.计算机蒙特卡罗模拟仿真实验和性能分析表明了本文算法在计算量增加不大的情况下,在设定频率范围内能够提高频率估计的精确度和稳定性,其均方误差接近克拉美罗限且具有较低信噪比门限,整体估计性能优于Quinn算法和改变窗长相位差法,具有工程实用价值.     

High resolution ultrasonic backscatter coefficient estimation based on autoregressive spectral estimation using Burg's algorithm

An autoregressive (AR) method for spectral estimation was applied toward the task of estimating ultrasonic backscatter coefficients from small volumes of tissue. High spatial resolution is desirable for generating images of backscatter coefficient. Data was acquired from a homogeneous tissue-mimicking phantom and from a normal human liver in vivo. The AR method was much more resistant to gating artifacts than the traditional DFT (discrete Fourier transform) approach. The DFT method consistently underestimated backscatter coefficients at small gate lengths. Therefore backscatter coefficient image formation will be quantitatively more meaningful if based on AR spectral estimation rather than the DFT. The autoregressive method offers promise for enhanced spatial resolution and accuracy in ultrasonic tissue characterization and nondestructive evaluation of materials.     

Low Complexity DFT Based DOA Estimation for Synthetic Nested Array Using Single Moving Sensor

The issue of direction of arrival (DOA) estimation for synthetic nested array is investigated in this paper. The synthetic nested array (SNA) is formed by one single sensor moving according to the configuration of the physical nested array. With the synthetic array, both high resolution DOA estimation and array aperture miniaturization requirements can be met. To reduce the computationally complexity for SNA, a discrete Fourier transform (DFT) based algorithm is proposed which needs no eigen decomposition. We first reconstruct the data matrix reshaped from the data received by moving senor to obtain the observation vector and then get the initial DOA estimates via DFT of the observation vector. At last the fine estimates can be obtained through searching for peaks corrected by phase rotation matrix over a small sector. The proposed algorithm for SNA can achieve better bearing estimation performance than spatial smoothing (SS) subspace based methods such as SS-MUSIC and SS-ESPRIT, due to the fact that it can fully utilize array aperture while SS-MUSIC and SS-ESPRIT lose a half. Besides, the proposed algorithm involves full degree of freedoms (DOF). Numerical simulations validate the efficiency and superiority of the proposed algorithm.     

基于SC-FDMA系统的噪声估计算法研究

为了提高单载波频分多址接入(SC-FDMA)系统的性能,一种简单且有效的基于探测参考信号(SRS)的噪声估计算法是必要的.针对传统基于离散傅里叶变换(DFT)算法的缺陷,提出了一种改进的基于DFT的算法.另外,在该改进的基于DFT的算法的基础上,又通过增加汉宁窗进行修正,减小了高信噪比下信号能量的泄露.仿真结果表明,在低信噪比下,改进的基于DFT的算法的性能相比传统的算法性能上有4 dB的改善.但是,在高信噪比下,改进的基于DFT的算法的性能逐渐变差,而通过添加汉宁窗却能修正这一缺陷,使其性能得到至少4 dB的改善.     

A simple interpolation technique for the DFT for joint system parameters estimation in burst MPSK transmissions

In this paper, we propose a simple frequency-domain interpolation technique for the discrete Fourier transform (DFT). This interpolation technique can significantly improve the frequency and phase resolution capabilities of the DFT without increasing the size of the DFT (the number of points used for the DFT). This new technique employs a dividing point in the amplitude and phase spectra. Suitable areas of application include joint estimation of fine frequency and phase offsets in burst-mode digital transmission.     

Robust frequency offset estimation for pilot symbol assisted packetCDMA with MIMO antenna systems

We propose frequency offset estimation and combining techniques for pilot symbol assisted (PSA) packet downlink code-division multiple access (CDMA) with multiple-input and multiple-output (MIMO) antenna systems. Orthogonal Walsh codes are used for dedicated pilot symbols at the transmit antennas. The discrete Fourier transform (DFT)-based frequency offset estimation is used for simple implementation. In addition, simple interpolation is also used for resolution improvement of the DFT. When identical frequency offset is assumed, the frequency offset estimates for each single-input single-output (SISO) sub-stream (i.e., transmit/receive antenna pair) can be combined at the receiver. Simulation results show that the estimation and combining techniques proposed deliver improvement in the frequency offset estimation performance     

时间重叠的循环谱估计

首次将时间重叠法和ssinc窗应用于循环谱估计中,提出了时间重叠的循环谱估计方法,使循环谱估计取得了突破性的进展(:1)循环谱的偏离误差减小,有效频率分辨率提高,能准确地分辨出循环频率方向和谱频率轴方向的谱峰;(2)计算量大大减少。通过时间的重叠过程,减少DFT要求的数据量,提高了循环谱估计的实时性。     

Nested planar array: configuration design,optimal array and DOA estimation

Nested array enables to enhance localisation resolution and achieve under-determined direction of arrival (DOA) estimation. In this paper, we improve the traditional nested planar array to achieve more degrees of freedom (DOFs) and better angle estimation performance. The closed-form expressions for sensor positions of the improved array are given and the optimal array configuration for largest available DOFs is derived. Meanwhile, a computationally efficient DOA estimation algorithm is proposed. Specifically, we utilise two dimensional Discrete Fourier Transform (2D DFT) method to obtain the coarse DOA estimates; Subsequently, we achieve the fine DOA estimates by 2D spatial smoothing multiple signals classification (SS-MUSIC) algorithm. The proposed algorithm enjoys the same estimation accuracy as SS-MUSIC algorithm but with lower complexity because the coarse DOA estimates enable to shrink the range of spectral search. In addition, estimation of the number of signals is not required by 2D DFT method. Extensive simulation results testify the effectiveness of the proposed algorithm.     

基于循环特性的均匀圆阵快速空间谱计算

针对在阵元数多、分辨率要求高的情况下,基于均匀圆阵的空间谱直接计算方法存在计算量大、实时性差的缺点,利用循环矩阵、离散傅里叶变换、卷积运算之间的内在联系,提出了一种快速空间谱计算方法.仿真结果表明,在保持测向性能完全一致的情况下,所提快速算法降低空间谱计算过程中角度搜索阶段的计算量随阵元数增加而增加;且在相同计算量条件下,所提快速算方法可以用于更高精度和分辨率的角度搜索.