User:Ouwerbie/Signals & System Engineering
Signals & System Engineering DRAFT
[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
- Kahan_summation_algorithm
- 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
- Numerical Integration, Numerical Methods and Analysis
- Explicit and implicit methods
- Numerical stability
- Numerical integration
- Truncation error (numerical integration)
- Rectangle method
- Riemann sum
- Trapezoidal rule
- Simpson's rule
- Numerical methods for ordinary differential equations
- Euler method
- Backward Euler method
- Runge–Kutta methods
- List of Runge–Kutta methods
- Energy drift
- List of numerical analysis topics
- List of numerical analysis software
- List of numerical libraries
- 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
- Random_sample_consensus
- 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
- Alpha_beta_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
- MultiRate Systems
- Multi-rate digital signal processing
- Downsampling
- Upsampling
- Interpolation
- Sample rate conversion
- Angle representations, 3D Attitude, Rotation and Angular velocity, Translation
- CORDIC
- 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
- List of information graphics software
- missing windowed sync interpolation using kaiser window. see also Lanczos resampling