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On this page
  • ExtendedKalmanFilter
    • ExtendedKalmanFilter.process_model
    • ExtendedKalmanFilter.reject_outliers
    • ExtendedKalmanFilter.predict()
    • ExtendedKalmanFilter.correct()

navlie.filters.ExtendedKalmanFilter¶

class navlie.filters.ExtendedKalmanFilter(process_model: ProcessModel, reject_outliers=False)¶

Bases: object

On-manifold nonlinear Kalman filter.

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

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

process_model¶
reject_outliers¶
predict(x: StateWithCovariance, u: Input, dt: float | None = None, x_jac: State | None = None, output_details: bool = False) → 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.

  • x_jac (State, optional) – Evaluation point for the process model Jacobian. If not provided, the current state estimate will be used.

Returns:

New predicted state

Return type:

StateWithCovariance

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

Fuses an arbitrary measurement to produce a corrected state estimate. If a measurement model returns None from its evaluate() method, the measurement will not be fused.

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

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

  • u (Input) – Most recent input, to be used to predict the state forward if the measurement stamp is larger than the state stamp. If set to None, no prediction will be performed and the correction will just be done with the current state estimate.

  • x_jac (State, optional) – valuation point for the process model Jacobian. If not provided, the current state estimate will be used.

  • 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.

  • output_details (bool, optional) – Whether to output intermediate computation results (innovation, innovation covariance) in an additional returned dict.

Returns:

The corrected state estimate

Return type:

StateWithCovariance

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