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User:Ouwerbie/Books/Signals & System Engineering2

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    Signals & System Engineering2

    [edit]

    For Inertial Measurement and Navigation Systems

    [edit]
    Author
    Jaap Overschie
    Signal Processing
    Signal (electrical engineering)
    Signal processing
    Errors, Uncertainty & Covariance,...... Probability
    Measurement uncertainty
    Variance
    Covariance
    Covariance matrix
    Expected value
    Median
    Location parameter
    Squared deviations
    Accuracy and precision
    Signal-to-noise ratio
    Coefficient of variation
    Probability theory
    Univariate distribution
    Probability mass function
    Probability distribution
    Probability density function
    Cumulative distribution function
    Characteristic function (probability theory)
    Moment (mathematics)
    Central moment
    Cumulant
    Moment-generating function
    List of probability distributions
    Multivariate statistics
    Joint probability distribution
    Error Compounding, Additive or Multiplicative
    Round-off error
    Engineering tolerance
    Statistical interference
    Normal distribution
    Log-normal distribution
    Benford's law
    Error and Uncertainty Propagation, Sensitivity Analysis
    Propagation of uncertainty
    Sensitivity analysis
    Linear differential equation
    Partial derivative
    Total derivative
    Jacobian matrix and determinant
    Hessian matrix
    Sampling, Quantisation and AD conversion
    Sampling (signal processing)
    Nyquist–Shannon sampling theorem
    Sampling rate
    Sample and hold
    Oversampling
    Undersampling
    Quantization (signal processing)
    Analog-to-digital converter
    Delta-sigma modulation
    Pulse-code modulation
    Linear pulse-code modulation
    Pulse-density modulation
    Delta modulation
    Sampling Issues
    Truncation error
    Quantization error
    Discretization error
    Aliasing
    Anti-aliasing filter
    Signal Reconstruction
    Zero-order hold
    First-order hold
    Whittaker–Shannon interpolation formula
    Lanczos resampling
    Rectangular function
    Sinc filter
    Sinc function
    Low-pass filter
    Time series & Spectral Analysis
    Time series
    Convolution
    Fourier transform
    Discrete Fourier transform
    Fast Fourier transform
    Periodogram
    Spectral density
    Spectral density estimation
    Window function
    Spectral leakage
    Bartlett's method
    Welch's method
    Multitaper
    Cepstrum
    Complex logarithm
    Noise Characteristics a.k.a. Uncertainty, Freedom of Motion
    Noise (electronics)
    List of noise topics
    White noise
    Colors of noise
    Phase noise
    Jitter
    Flicker noise
    Random walk
    Brownian noise
    Autoregressive model
    Noise spectral density
    Allan Variance
    Allan variance
    Modified Allan variance
    Filters
    Filter design
    Finite impulse response
    Infinite impulse response
    Cascaded integrator-comb filter
    Matched filter
    Savitzky–Golay filter
    Hodges–Lehmann estimator
    Stochastic Systems & Wiener Process
    Stationary process
    Stationary ergodic process
    Wiener–Khinchin theorem
    Stochastic process
    Gauss–Markov process
    Wiener process
    Regression toward the mean
    Jump diffusion
    Ornstein–Uhlenbeck process
    Wiener filter
    Estimation & Least Squares
    Principal axis theorem
    Spectral theorem
    Estimator
    Bias of an estimator
    Estimation theory
    Gauss–Markov theorem
    Least squares
    Ordinary least squares
    Linear least squares (mathematics)
    Shrinkage estimator
    Stein's example
    James–Stein estimator
    Decorrelation
    Canonical correlation
    Whitening transformation
    Principal component analysis
    Independent component analysis
    Regularization (mathematics)
    Tikhonov regularization
    Regularization by spectral filtering
    LSE special problem Optimal Estimation of Rotation Matrices
    Procrustes transformation
    Affine transformation
    Procrustes analysis
    Orthogonal Procrustes problem
    Kabsch algorithm
    Wahba's problem
    LSE taken further
    Taxicab geometry
    Mahalanobis distance
    Total least squares
    Recursive least squares filter
    Iterative refinement
    Overfitting
    Filtering problem (stochastic processes)
    Least mean squares filter
    Similarities between Wiener and LMS
    Predictor–corrector method
    Kriging
    State Estimation, Kalman Filtering
    Bayesian inference
    Bayesian programming
    Maximum likelihood
    Maximum likelihood estimation
    Best linear unbiased prediction
    Observability
    State observer
    Kalman filter
    Nonlinear filter
    Extended Kalman filter
    Symmetry-preserving filter
    Bayesian network
    Particle filter
    Fast Kalman filter
    Invariant extended Kalman filter
    Sensor & Process Fusion
    Aiding
    System Control
    System analysis
    LTI system theory
    Laplace transform
    Separation principle
    State space representation
    Full state feedback
    Linear-quadratic-Gaussian control
    Numerical Integration, Numerical Methods and Analysis
    CORDIC
    Numerical integration
    Truncation error (numerical integration)
    Rectangle method
    Riemann sum
    Trapezoidal rule
    Simpson's rule
    Numerical methods for ordinary differential equations
    Euler method
    Runge–Kutta methods
    List of Runge–Kutta methods
    Energy drift
    Symplectic integrator
    Semi-implicit Euler method
    List of numerical analysis topics
    List of numerical analysis software
    List of numerical libraries
    List of information graphics software
    MultiRate Systems
    Multi-rate digital signal processing
    Downsampling
    Upsampling
    Interpolation
    Sample rate conversion
    Angle representations, 3D Attitude, Rotation and Angular velocity, Translation
    Transformation matrix
    Axis-angle representation
    Plane of rotation
    Rotation (mathematics)
    Rotation formalisms in three dimensions
    Rotation operator (vector space)
    Rotation matrix
    Precession
    Nutation
    Rotation
    Euler angles
    Aircraft principal axes
    Givens rotation
    Jacobi rotation
    Rotation group SO(3)
    Rodrigues' rotation formula
    Euler–Rodrigues formula
    Four-dimensional space
    Rotations in 4-dimensional Euclidean space
    Quaternion
    Quaternions and spatial rotation
    Conversion between quaternions and Euler angles
    Dual quaternion
    Moving frame
    Lie group
    Euclidean group
    Inertial Navigation Maths
    Inertial frame of reference
    Non-inertial reference frame
    Rotating reference frame
    Angular velocity
    Infinitesimal transformation
    Gimbal lock
    Schuler tuning
    Parallel transport
    Fictious forces and other effects in a moving frame
    Fictitious force
    Centrifugal force (rotating reference frame)
    Coriolis effect
    Euler force
    Eötvös effect
    Matrix Operations
    List of matrices
    Matrix decomposition
    Eigenvalues and eigenvectors
    Eigendecomposition of a matrix
    Singular-value decomposition
    Generalized inverse
    Cholesky decomposition
    Householder transformation
    QR decomposition
    Coning & Sculling
    Rolling cone motion
    Gyroscopes
    Gyroscope
    Rate integrating gyroscope
    Accelerometers
    Accelerometer
    PIGA accelerometer
    Ensemble Domain Implementations
    Sample mean and sample covariance
    Estimation of covariance matrices
    Covariance intersection
    Ensemble forecasting
    Ensemble Kalman filter
    Stochastic Calculus
    Stochastic differential equation
    Diffusion process
    Jump process
    Itō calculus
    Stratonovich integral
    Robust Performance and Robust Stability
    Sensitivity (control systems)
    Robust control
    Robust decision making
    Robust statistics
    Quantitative feedback theory
    Modeling and linearisation for observer design
    System identification
    Nonlinear system
    Taylor series
    Perturbation theory
    Laurent series
    Z-transform
    Fourier series
    Observer mode switching, Bumpless Transfer, KF switching
    Sliding mode control
    APPLICATIONS Of Inertial Measurement Unit IMU
    Guidance and Navigation
    Guidance system
    Guidance, navigation and control
    Gyrocompass
    Attitude and heading reference system
    Dead reckoning
    Earth-centered inertial
    Earth's rotation
    Latitude
    ECEF
    Inertial navigation system
    LN-3 Inertial Navigation System
    GPS INS fusion
    Sensor fusion
    Global Positioning System
    Real Time Kinematic
    GPS/INS
    Error analysis for the Global Positioning System
    GPS extended
    GNSS augmentation
    GPS augmentation
    Assisted GPS
    Differential GPS
    Wide Area Augmentation System
    Local Area Augmentation System
    OmniSTAR
    Borehole Surveying
    Well logging
    Logging while drilling
    Measurement while drilling
    Directional drilling
    Precision Farming
    Precision agriculture
    Dynamic Positioning
    Dynamic positioning
    People in Engineering
    Richard Hamming
    Claude Shannon
    Ronald Fisher
    Malcolm D. Shuster
    Jim Williams (analog designer)
    Bob Pease
    Norbert Wiener
    Rudolf E. Kálmán
    W. Edwards Deming
    Jack Kilby
    Robert Noyce
    BELOW TO BE SORTED and inserted in sequence
    MISSING ITEMS
    missing Numerical Implementation methods of KF e.g. UD factorisation
    missing direct integration of D(RotationMatrix)/dt
    missing Numerical Integration Errors in Frequency Domain cf. Hamming
    Missing Fixed Point Implementations
    missing Coning and Sculling solutions
    missing Pseudo Coning
    missing Hadamard variance
    missing, Error Modeling for Borehole Surveying, precision of estimate.
    missing INS error propagation, Borehole Surveying Systems Error Models
    Multivariate normal distribution
    Multivariate stable distribution
    Chi distribution
    missing Gyro While Drill
    missing, attitude dilution of precision
    missing Wander azimuth and other specifc navigation frames
    missing KF observability
    missing multirate systems for data processing
    missing Robust Estimation, Robust KF
    missing Rate Random Walk RRW, Angular Random Walk ARW definition wrt to standard noise models
    missing quantisation noise
    missing 3 parameter quaternion plus sign
    Attitude Estimation and Initial Alignment
    missing, Attitude Estimation Direct Method
    missing davenport q-method for attitude determination
    missing SVD based attitude determination
    missing QUEST Attitude estimator as solution to wahba's problem
    missing Attitude estimation indirect method
    Gyrocompassing, Azimuth Alignment enhanced by horizontal force
    missing Observability of RIMU systems
    missing Redundant Inertial Measurement Systems RIMU
    missing, optimally skewed sensor arrays
    missing Impact of cross axis sensitivity and sensor misalignment cf. James Farrell
    missing Fisher Information and information Matrix
    Fisher information
    Formation matrix
    Observed information
    Cramér–Rao bound
    missing literature reference
    missing INS Transport Rates
    missing Complementary Filter
    missing Dimension Analysis, PI theorem
    missing Akima spline fit
    missing Numerical Methods
    Hermitian matrix
    Hankel matrix
    Control Engineering, Dynamics of Systems
    Ergodic theory
    Control engineering
    Dynamical systems theory
    Control theory
    Optimal control
    Bode plot
    Nichols plot
    Bode's sensitivity integral
    Nyquist plot
    Linear phase
    Minimum phase
    Holonomic (robotics)
    Holonomic constraints
    Nonholonomic system
    Bicycle and motorcycle dynamics
    Falling cat problem
    Parallel parking problem
    Stuff to be sorted
    ´Careful not to overlap with JARGON from Statistics
    Filter bank
    Generalized least squares
    Partial least squares regression
    Iteratively reweighted least squares
    Loss function
    Geometric median
    Regression validation
    Mean and predicted response
    Errors and residuals
    Goodness of fit
    Studentized residual
    Portal:Statistics
    Confidence region
    Ellipsoid
    Errors-in-variables models
    Efficient estimator
    Fisher consistency
    Consistent estimator
    Polar decomposition
    Outlier
    Cross-covariance
    List of uncertainty propagation software
    Uncertainty quantification
    Experimental uncertainty analysis
    Automatic differentiation
    Digital filter
    Recursive filter
    Moving average
    Laplace distribution
    Nonuniform sampling
    Phase margin
    Signal reconstruction
    Group delay and phase delay
    Phase distortion
    Waveform
    Angle
    Geodetic datum
    Discretization
    Stochastic simulation
    Discrete event simulation
    Time-scale calculus
    Resonance
    Electrical impedance
    Q factor
    Mean-preserving spread
    Correlation and dependence
    Numerical differentiation
    Finite difference
    Padé approximant
    Stencil (numerical analysis)
    Five-point stencil
    Newton polynomial
    Polynomial interpolation
    Polynomial regression
    Spline (mathematics)
    Discrete spline interpolation
    Cubic Hermite spline
    Collocation method
    Trigonometric interpolation
    Chebfun
    Lagrange polynomial
    Singular value
    Singular value decomposition
    Verification and validation
    Curve fitting
    Smoothing
    Autoregressive–moving-average model
    Exponential smoothing
    Local regression
    Quantification of margins and uncertainties
    Decimation (signal processing)
    Comb filter
    Chebyshev filter
    Butterworth filter
    Differentiator
    Recurrence relation
    Holonomic function
    Orthogonal polynomials
    Kernel (statistics)
    Kernel method
    Spectral theory
    Spectrum of a matrix
    Spectral radius
    Integrator
    Gramian matrix
    Controllability Gramian
    Observability Gramian
    Controllability
    State-space representation
    Phase portrait
    Phase space
    Filter (signal processing)
    Levenberg–Marquardt algorithm
    Nelder–Mead method
    Conjugate gradient method
    Nonlinear conjugate gradient method
    Preconditioner
    Iterative method
    Matrix splitting
    Root-finding algorithm
    List of operator splitting topics
    Cauchy's integral theorem
    Methods of contour integration
    Antiderivative
    Lebesgue integration
    Pathological (mathematics)
    Monte Carlo method
    Quasi-Monte Carlo method
    Markov chain Monte Carlo
    Markov chain
    Brownian motion
    Ergodic hypothesis
    Ergodic process
    Ergodicity
    Law of large numbers
    Central limit theorem
    Central limit theorem for directional statistics
    Taylor expansions for the moments of functions of random variables
    Law of the iterated logarithm
    Martingale (probability theory)
    Noisy-channel coding theorem
    Poisson distribution
    Hofstadter's law
    Overengineering
    Planning fallacy
    Markov process
    Variance-stabilizing transformation
    Examples of Markov chains
    Continuous stochastic process
    Continuous-time Markov chain
    Metropolis–Hastings algorithm
    Gibbs sampling
    Gaussian process
    Brownian bridge
    Fractional Brownian motion
    Pink noise
    Crest factor
    Clipping (signal processing)
    Dynamic range
    Form factor (electronics)
    Johnson–Nyquist noise
    Quantum 1/f noise
    Shot noise
    Autoregressive fractionally integrated moving average
    Riemann integral
    Heteroscedasticity
    Homoscedasticity
    Factor analysis
    Jordan normal form
    Canonical form
    Angles between flats
    Matrix similarity
    Additive white Gaussian noise
    Type I and type II errors
    Hilbert transform
    Envelope (waves)
    Group velocity
    Phase velocity
    Wave
    Impulse response
    Quadrature filter
    Analytic signal
    Noise floor
    Burst noise
    Moving target indication
    Karhunen–Loève theorem
    Mean squared error
    Random variable
    Orthogonal functions
    Covariance function
    Uncorrelated random variables
    Independence (probability theory)
    Statistic
    Discrete cosine transform
    Hilbert space
    Fourier analysis
    Orthonormal basis
    Cartesian coordinate system
    Lp space
    Mean absolute error
    Variogram
    Random field
    Autocorrelation
    Cross-correlation
    Regression analysis
    Correlation function
    Covariance mapping
    Generalized canonical correlation
    Differential equation
    Multiplier (Fourier analysis)
    Homomorphic filtering
    Conformal map
    Transient (acoustics)
    Likelihood ratio
    Likelihood function
    Conditional probability
    Frequentist inference
    Fiducial inference
    Decision theory
    German tank problem
    Bayes factor
    Blind deconvolution
    Hidden Markov model
    Recursive Bayesian estimation
    Dynamic Bayesian network
    Variational Bayesian methods
    Generalized filtering
    Expectation–maximization algorithm
    MM algorithm
    Mixture model
    Pfaffian constraint
    Udwadia–Kalaba equation
    Parallel curve
    Grey box model
    Black box
    Cybernetics
    Wiener deconvolution
    Deconvolution
    Cascaded integrator–comb filter
    Nearest-neighbor interpolation
    Bandlimiting
    Instantaneous phase
    Gram–Schmidt process
    Numerical analysis
    Tortuosity
    Analysis of algorithms
    Inner product space
    Arnoldi iteration
    Condition number
    Well-posed problem
    Coherence (signal processing)
    Pearson correlation coefficient
    Scaled correlation
    Statistical inference
    Statistics
    Eigenvalue perturbation
    Data fusion
    Data wrangling
    Information integration
    Integrative level
    Data assimilation
    Image fusion
    Convolutional neural network
    Design of experiments
    Graphical model
    Monty Hall problem
    List of people in systems and control
    Lists of engineers
    List of systems engineers
    List of systems scientists
    List of systems engineering universities
    missing windowed sinc interpolation using kaiser window. see also Lanczos resampling
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