Process / pipelineOptimal state estimation

Kalman Filter for Signal Tracking

The Kalman filter is a recursive algorithm that optimally estimates the state of a linear dynamic system from noisy measurements, minimizing mean-square error. Introduced by Rudolf Kalman in 1960, it revolutionized control theory, navigation, and signal processing by enabling real-time optimal estimation for time-varying systems. The Kalman filter became indispensable for spacecraft tracking, GPS navigation, and countless modern applications.

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Sources

  1. Kalman, R. E. (1960). A New Approach to Linear Filtering and Prediction Problems. Journal of Basic Engineering, 82(1), 35–45. DOI: 10.1115/1.3662552
  2. Grewal, M. S., & Andrews, A. P. (2015). Kalman Filtering: Theory and Practice with MATLAB (4th ed.). Wiley-IEEE Press. link

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Referenced by

ScholarGateKalman Filter for Signal Tracking (Kalman Filter for Signal Estimation and Tracking). Retrieved 2026-06-04 from https://scholargate.app/en/signal-processing/kalman-filter-signal