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| マッチドフィルタ× | カルマンフィルタによる信号追跡× | |
|---|---|---|
| 分野 | 信号処理 | 信号処理 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1943 | 1960 |
| 提唱者≠ | D. O. North | Rudolf E. Kalman |
| 種類≠ | Optimal filter for signal detection | Recursive optimal filter |
| 原典≠ | North, D. O. (1943). An Analysis of the Factors Which Determine Signal/Noise Discrimination in Pulsed Carrier Systems. RCA Laboratories, Technical Report PTM-946. link ↗ | Kalman, R. E. (1960). A New Approach to Linear Filtering and Prediction Problems. Journal of Basic Engineering, 82(1), 35–45. DOI ↗ |
| 別名 | Correlation Detector, Optimal Filter Detection, Template Matching | Kalman Filtering, Recursive State Estimation, Optimal Filtering |
| 関連 | 4 | 4 |
| 概要≠ | The matched filter is an optimal signal detector that maximizes the signal-to-noise ratio (SNR) for detecting a known signal in additive Gaussian noise. Developed by D. O. North during World War II for radar applications, the matched filter represents the optimal linear filter for signal detection and remains the foundation for detection theory and digital communications. | 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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