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On this page
  • SigmaPointKalmanFilter
    • SigmaPointKalmanFilter.process_model
    • SigmaPointKalmanFilter.method
    • SigmaPointKalmanFilter.reject_outliers
    • SigmaPointKalmanFilter.iterate_mean
    • SigmaPointKalmanFilter.predict()
    • SigmaPointKalmanFilter.correct()

navlie.filters.SigmaPointKalmanFilter¶

class navlie.filters.SigmaPointKalmanFilter(process_model: ProcessModel, method: str = 'unscented', reject_outliers=False, iterate_mean=True)¶

Bases: object

On-manifold nonlinear Sigma Point Kalman filter.

Parameters:
  • process_model (ProcessModel) – process model to be used in the prediction step

  • method (str) –

    method to generate the sigma points. Options are

    ’unscented’: unscented sigma points ‘cubature’: cubature sigma points ‘gh’: Gauss-hermite sigma points

  • reject_outliers (bool, optional) – whether to apply the NIS test to measurements, by default False

  • iterate_mean (bool, optional) – whether to compute the mean state with sigma points or by propagating check {x_{k-1}} on the process model

process_model¶
method¶
reject_outliers¶
iterate_mean¶
predict(x: StateWithCovariance, u: Input, dt: float | None = None, input_covariance: ndarray | None = None) → StateWithCovariance¶

Propagates the state forward in time using a process model. The user must provide the current state, input, and time interval

Note

If the time interval dt is not provided in the arguments, it will be taken as the difference between the input stamp and the state stamp.

Parameters:
  • x (StateWithCovariance) – The current state estimate.

  • u (Input) – Input measurement to be given to process model

  • dt (float, optional) – Duration to next time step. If not provided, dt will be calculated with dt = u.stamp - x.state.stamp.

  • input_covariance (np.ndarray, optional) – Covariance associated to the inpu measurement. If not provided, it will be grabbed from u.covariance

Returns:

New predicted state

Return type:

StateWithCovariance

correct(x: StateWithCovariance, y: Measurement, u: Input, reject_outlier: bool | None = None) → StateWithCovariance¶

Fuses an arbitrary measurement to produce a corrected state estimate.

Parameters:
  • x (StateWithCovariance) – The current state estimate.

  • u (VectorInput) – Most recent input, to be used to predict the state forward if the measurement stamp is larger than the state stamp.

  • y (Measurement) – Measurement to be fused into the current state estimate.

  • reject_outlier (bool, optional) – Whether to apply the NIS test to this measurement, by default None, in which case the value of self.reject_outliers will be used.

Returns:

The corrected state estimate

Return type:

StateWithCovariance

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navlie.filters.UnscentedKalmanFilter

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