adaptive noise cancelling adaptive parameter estimation advanced algorithm options advice help facility model validation AIC, the Akaike Information Criterion definition formal derivation Akaike's Final Prediction Error (FPE) AR model estimation estimation techniques ARARMAX structure ARMAX model definition equation GUI ARX model compare many GUI basic tools BJ Bode diagram Bode plot Box-Jenkins model definition equation GUI Burg's method AR command AR option channels noise selection closed-loop system communication window ident comparing different models comparisons using compare 3-59 complex-valued data confidence region for model validation GUI show in plots continuous-time model as idss object estimation estimation options spectrum transformations Control System Toolbox correlation analysis correlation between residuals and inputs covariance matrix estimation in c2d/d2c suppressing calculation covariance method creating models from data cross correlation function cross spectrum cross validation by simulation relation to AIC, FPE customized plots data channels feedback (impulse response) feedback (limitations) feedback (testing) frequency domain frequency response missing data multiple experiments Data Board data handling checklist data ranges data representation data views deadtime delays definition delayest estimating in d2c use of nk detrending data difference equation disturbance disturbance spectra drift matrix dynamic models, introduction empirical transfer function estimate enumeration of parameters estimation nonparametric parametric estimation data estimation focus algorithm property continuous time model in GUI prefiltering estimation method direct instrumental variables nonparametric parametric (basic commands) parametric (GUI) prediction error approach exporting to the MATLAB workspace extended least squares (ELS) fault detection feedback feedback in data impulse response limitations testing filtering data for model quality fixed parameter focus algorithm property continuous time model in GUI prefiltering forgetting factor FPE frequency function (definition) function (GUI) plots range resolution (concept) resolution (in spa) resolution (in spafdr) response scales frequency domain data description initial state frequency function frequency response concept data (idfrd object) function graph Gauss-Newton direction Gauss-Newton minimization geometric lattice method AR command AR option graphical user interface (GUI) greybox-modeling GUI topics Hamming window HARF method idarx model object ident window identification method instrumental variables nonparametric parametric prediction error approach subspace identification process, basic steps idfrd model object as data information as estimated model idgrey model object idpoly model object idproc model object idss model object impulse response concept definition Information Theoretic Criterion (AIC) initial condition initial parameter values iterative search startup models initial state frequency domain in GUI in GUI state space model innovations form input signals instrumental variable IV4 method IVAR method iterative search local minima use in pem Kalman filter Kalman gain lag window definition in spa layout least mean squares (LMS) least squares Levenberg-Marquard LimitError linear regression recursive algorithms using ARX linear trends linestyles local minima loss function main ident window markers maximum likelihood criterion method MaxIter MaxSize memory horizon merge experiments Minimum Description Length (MDL) missing data model continuous-time continuous-time (estimation optiond) continuous-time (spectrum) continuous-time(transformations) nonparametric output-error parametric properties set state-space structure uncertainty view functions views Model Board model error model model order model structure model uncertainty GUI show in plots model validation available methods definition model views modified covariance method multi-output models criterion multiple experiments multivariable ARX model multivariable systems definition loss function model structures multivariate signals N4Horizon N4Weight na,nb,nc,nd,nf parameter definitions noise noise channels noise model noise source noise-free simulation concept for model validation nonequal sampling nonparametric estimation nonparametric identification Normalized Gradient (NG) Approach numerical differentiation for gradients for transformations Nyquist frequency Nyquist plot OE offset levels offsets online algorithms order editor outliers feedback signals output feedback output signals output-error model definition equation GUI prediction state space model parametric identification parametric model parametric model estimation periodic input periodogram etfe for time series from etfe physical equilibrium, pole concept GUI pole-zero cancellation poorly damped systems prediction error identification error method k step ahead prediction error definition pe command preferences in GUI prefiltering for model quality in GUI process model idproc Quickstart menu item random walk recursive identification basic algorithms commands pseudo-linear regression approach reference list regression vector resampling residual analysis concept resid command residuals resolution concept in spa in spafdr robustified criterion against outliers in linear regression LimitError relation to loss function sampling interval SearchDirection segmentation problem sequential estimation sessions (GUI) SHARF method shift operator simulating data simulation concept noise level spectral analysis concept time series spectral density spectrum spectrum normalization startup identification procedure state space model output-error model state variable state vector state-space model continuous time definition equation GUI stochastic step response concept structure structure matrices subspace method testing for feedback time constant time delay definition in idproc time domain description time series model prediction spectral estimation time series modeling general remarks time-continuous systems tolerance trace transfer function concept definition transformations of noise models transient response graph uncertainty parameter free state-space model suppressing calculation Unnormalized Gradient (UG) Approach validation data white noise window sizes working data Working Data set Yule-Walker approach AR command AR option zero concept GUI zero-pole format zeros and poles graph