MATLAB高阶累积量工具箱,包含内容有： Higher-Order Spectrum Estimation: conventional methods % cum2x - Estimates cross-covariance % cum3x - Estimates third-order cross-cumulants % cum4x - Estimates fourth-order cross-cumulants % cumest - Estimates auto-cumulants, orders two, three, or four % (cum2est, cum3est, cum4est are sub-ordinate routines) % bicoher - Estimates bicoherence, direct method % bicoherx - Estimates cross-bicoherence, direct method % bispecd - Bispectrum estimation (direct method) % bispecdx - Cross-Bispectrum estimation (direct method) % bispeci - Bispectrum estimation (indirect method) % glstat - Gaussianity-Linearity detection statistics (Hinich test) % % Higher-Order Spectrum Estimation: parametric methods % armaqs - Estimates ARMA parameters via q-slice algorithm % armarts - Estimates ARMA parameters via residual time-series algorithm % armasyn - Generates ARMA synthetics % arorder - Estimates AR order % arrcest - Estimates AR parameters using correlation &/or cumulants % bispect - Theoretical bispectrum of an ARMA process % cumtrue - Computes theoretical (true) cumulants of ARMA processes % maest - Estimates MA parameters (GM algorithm) % maorder - Estimates MA order % rpiid - Generates a sequence of i.i.d. random variables, various p.d.f.'s % trispect - Computes 2-D slice of true trispectrum of ARMA process % % Quadratic Phase Coupling (QPC) % qpcgen - Generates quadratically-phase coupled harmonics in noise % qpctor - Detection of quadratic phase coupling via the TOR method % % Second-Order Volterra Systems % nlgen - Computes the output of a second-order Volterra system % nlpow - Power's method for parameters of 2nd-order Volterra system % nltick - Tick 's method for parameters of 2nd-order Volterra system % % Harmonic Retrieval % harmest - Estimates frequencies of harmonics % harmgen - Generates harmonics in Gaussian (colored) noise % % Time-Delay Estimation (TDE) % tde - Time-delay estimation using third-order cross cumulants % tdeb - Time-delay estimation using third-order cross bispectrum % tdegen - Generates synthetics for time-delay estimation % tder - Time-delay estimation using cross-correlation % % Array Processing - Direction of Arrival (DOA) estimation % doa - Estimates number of sources and their bearings (cum2 or cum4) % doagen - Synthetic generator for the DOA problem % % Adaptive Linear Prediction % ivcal - Computes instrumental variables (used by rivtr and rivdl) % rivdl - Recursive instrumental variable algorithm: double-lattice filter % rivtr - Recursive instrumental variable algorithm: transversal filter % % Impulse Response (IR), Magnitude and Phase Retrieval % biceps - Estimates impulse response via the bicepstrum method % bicepsf - Estimates impulse response via the bicepstrum (FFT) method % matul - Magnitude and phase retrieval (Matsuoka-Ulrych algorithm) % % Time-Frequency Distributions % wig2 - Wigner spectrum % wig2c - Wigner spectrum, with Choi-Williams type filtering % wig3 - Wigner bispectrum, diagonal slice % wig3c - Wigner bispectrum, with Choi-Williams type filtering % wig4 - Wigner trispectrum, diagonal slice % wig4c - Wigner trispectrum, with Choi-Williams type filtering % % Utilities % hprony - Prony's method for modeling transients % pickpeak - Picks peaks subject to a separation condition % tls - Total Least Squares Solution to a set of linear equations % trench - Trench recursion for non-symmetric Toeplitz matrices % % Demos and Quick Help % hosahelp - One-line synopsis of all HOSA mfiles % hosademo - A demo of the HOSA Toolbox

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基于高阶累积量的调制格式识别，识别7种调制格式BPSK、QPSK、8PSK、8QAM、16QAM、32QAM、 64QAM

高阶累积量，用于信号的调制识别，性能较好

MATLAB高阶累积量工具箱

在QPSK调制方式下，分别研究推导了基于辅助数据的极大似然比信噪比估计算法研究、基于矩的信噪比估计算法研究以及基于高阶累积量的信噪比估计算法。通过仿真比较了信噪比估计算法的性能，着重分析比较了采用的迭代次数及数据长度等参数对算法性能的影响，最终根据算法各自的特点给出了相应的适用范围。

matlab高阶累积量工具箱，HOSA代码包。

基于高阶累积量的数字调制分类，2000年Swami经典文献Hierarchical Digital Modulation Classification Using Cumulants中例1的复现，包含高阶累积量的子程序 cum_sigma.m 计算经过C21归一化的高阶累积量，sigma为加性高斯噪声的方差 four_class_regular.m 四分类问题，信号集为Ω4={BPSK, PAM(4), QAM(4,4), PSK(8)}四种基带信号，信号采样点数分别为100,250,500三种情况，采用1000次蒙特卡洛仿真，得到识别结果，用MATLAB画出混淆矩阵。 four_class_freq.m 信号集为Ω4={BPSK, PAM(4), QAM(4,4), PSK(8)}四种基带信号，存在频偏的情况下实现识别分类 four_class_phase.m 信号集为Ω4={BPSK, PAM(4), QAM(4,4), PSK(8)}四种基带信号，存在相偏的情况下实现识别分类 judge_C40.m 门限判断子函数

绝版书！张贤达的精典之作。共有531页。全书共分十三章，内容包 括高阶统计量、非参数化高阶谱分析、因果和非因果非最小相位系统的辨识、 自适应估计和滤波、信号重构、信号检测、谐波恢复、多元时间序列分析、时变 非高斯信号的时频分析、阵列处理、循环平稳时间序列分析以及其它专题（时 延估计、盲反卷积和盲均衡、多维非高斯信号）。

高阶累积量 信号识别的一般方法 时间序列分析