Extended Kalman Filter with filterpy












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I am trying to implement filterpy library's Extended Kalman Filter with 2D inputs (x, y) following the example at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/11-Extended-Kalman-Filters.ipynb



However, I couldn't make it run for 2 dimensions. I would be glad to get an example usage of this function for 2D coordinate system.



from filterpy.kalman import ExtendedKalmanFilter
from filterpy.common import Q_discrete_white_noise
import numpy as np

coordinates = # Fill coordinates with [x, y] pairs
dt = 0.05 f = ExtendedKalmanFilter(2, 2)
f.x[:2] = coordinates[0]
f.R = np.diag([5 ** 2])
f.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)
f.Q[1, 1] = 0.1
f.P *= 50
for c in coordinates:
f.predict_update(c, jacobF, Hx)
print(f.x)


Jacobian and H matrix calculations are defined as below:



def Hx(x):
return x

def jacobF(pt):
x_dist = pt[0]
y_dist = pt[1]
denom = np.sqrt(x_dist**2 + y_dist**2)
return np.array([x_dist/denom, y_dist/denom], dtype=np.float).transpose()









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    0















    I am trying to implement filterpy library's Extended Kalman Filter with 2D inputs (x, y) following the example at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/11-Extended-Kalman-Filters.ipynb



    However, I couldn't make it run for 2 dimensions. I would be glad to get an example usage of this function for 2D coordinate system.



    from filterpy.kalman import ExtendedKalmanFilter
    from filterpy.common import Q_discrete_white_noise
    import numpy as np

    coordinates = # Fill coordinates with [x, y] pairs
    dt = 0.05 f = ExtendedKalmanFilter(2, 2)
    f.x[:2] = coordinates[0]
    f.R = np.diag([5 ** 2])
    f.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)
    f.Q[1, 1] = 0.1
    f.P *= 50
    for c in coordinates:
    f.predict_update(c, jacobF, Hx)
    print(f.x)


    Jacobian and H matrix calculations are defined as below:



    def Hx(x):
    return x

    def jacobF(pt):
    x_dist = pt[0]
    y_dist = pt[1]
    denom = np.sqrt(x_dist**2 + y_dist**2)
    return np.array([x_dist/denom, y_dist/denom], dtype=np.float).transpose()









    share|improve this question

























      0












      0








      0








      I am trying to implement filterpy library's Extended Kalman Filter with 2D inputs (x, y) following the example at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/11-Extended-Kalman-Filters.ipynb



      However, I couldn't make it run for 2 dimensions. I would be glad to get an example usage of this function for 2D coordinate system.



      from filterpy.kalman import ExtendedKalmanFilter
      from filterpy.common import Q_discrete_white_noise
      import numpy as np

      coordinates = # Fill coordinates with [x, y] pairs
      dt = 0.05 f = ExtendedKalmanFilter(2, 2)
      f.x[:2] = coordinates[0]
      f.R = np.diag([5 ** 2])
      f.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)
      f.Q[1, 1] = 0.1
      f.P *= 50
      for c in coordinates:
      f.predict_update(c, jacobF, Hx)
      print(f.x)


      Jacobian and H matrix calculations are defined as below:



      def Hx(x):
      return x

      def jacobF(pt):
      x_dist = pt[0]
      y_dist = pt[1]
      denom = np.sqrt(x_dist**2 + y_dist**2)
      return np.array([x_dist/denom, y_dist/denom], dtype=np.float).transpose()









      share|improve this question














      I am trying to implement filterpy library's Extended Kalman Filter with 2D inputs (x, y) following the example at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/11-Extended-Kalman-Filters.ipynb



      However, I couldn't make it run for 2 dimensions. I would be glad to get an example usage of this function for 2D coordinate system.



      from filterpy.kalman import ExtendedKalmanFilter
      from filterpy.common import Q_discrete_white_noise
      import numpy as np

      coordinates = # Fill coordinates with [x, y] pairs
      dt = 0.05 f = ExtendedKalmanFilter(2, 2)
      f.x[:2] = coordinates[0]
      f.R = np.diag([5 ** 2])
      f.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)
      f.Q[1, 1] = 0.1
      f.P *= 50
      for c in coordinates:
      f.predict_update(c, jacobF, Hx)
      print(f.x)


      Jacobian and H matrix calculations are defined as below:



      def Hx(x):
      return x

      def jacobF(pt):
      x_dist = pt[0]
      y_dist = pt[1]
      denom = np.sqrt(x_dist**2 + y_dist**2)
      return np.array([x_dist/denom, y_dist/denom], dtype=np.float).transpose()






      python tracking kalman-filter






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      asked Nov 13 '18 at 7:56









      Deniz BekerDeniz Beker

      622615




      622615
























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