# kalman\_filter

- [소개](/booil-jung/docs/applied_math/kalman_filter/01_preface_ko.md)
- [Introductions](/booil-jung/docs/applied_math/kalman_filter/02_preface_en.md)
- [사전 지식](/booil-jung/docs/applied_math/kalman_filter/09_preliminary.md)
- [목차 (TOC)](/booil-jung/docs/applied_math/kalman_filter/_10-toc.md)
- [1장: 서론](/booil-jung/docs/applied_math/kalman_filter/chapter_01.md)
- [서론: 칼만 필터란 무엇인가?](/booil-jung/docs/applied_math/kalman_filter/chapter_01/011.md)
- [칼만 필터의 역사와 발전 배경](/booil-jung/docs/applied_math/kalman_filter/chapter_01/012.md)
- [칼만 필터의 적용 분야](/booil-jung/docs/applied_math/kalman_filter/chapter_01/013.md)
- [2장: 칼만 필터의 수학적 기초](/booil-jung/docs/applied_math/kalman_filter/chapter_02.md)
- [상태 공간 모델 (State-Space Model)](/booil-jung/docs/applied_math/kalman_filter/chapter_02/021.md)
- [확률적 모델링: 가우시안 분포의 중요성](/booil-jung/docs/applied_math/kalman_filter/chapter_02/022.md)
- [선형 시스템의 기본 이론](/booil-jung/docs/applied_math/kalman_filter/chapter_02/023.md)
- [최소 제곱 추정법과 칼만 필터의 관계](/booil-jung/docs/applied_math/kalman_filter/chapter_02/024.md)
- [3장: 칼만 필터의 기본 개념](/booil-jung/docs/applied_math/kalman_filter/chapter_03.md)
- [필터링 문제의 정의](/booil-jung/docs/applied_math/kalman_filter/chapter_03/031.md)
- [상태 추정: 관측과 시스템의 동적 모델](/booil-jung/docs/applied_math/kalman_filter/chapter_03/032.md)
- [시간 갱신(Time Update) 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_03/033.md)
- [측정 갱신(Measurement Update) 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_03/034.md)
- [칼만 이득(Kalman Gain)](/booil-jung/docs/applied_math/kalman_filter/chapter_03/035.md)
- [4장: 칼만 필터의 유도](/booil-jung/docs/applied_math/kalman_filter/chapter_04.md)
- [최적 상태 추정: 최소 분산 추정](/booil-jung/docs/applied_math/kalman_filter/chapter_04/041.md)
- [칼만 필터 알고리즘의 유도](/booil-jung/docs/applied_math/kalman_filter/chapter_04/042.md)
- [리카티 방정식 (Riccati Equation)](/booil-jung/docs/applied_math/kalman_filter/chapter_04/043.md)
- [칼만 필터의 수렴성 분석](/booil-jung/docs/applied_math/kalman_filter/chapter_04/044.md)
- [5장: 칼만 필터의 구현](/booil-jung/docs/applied_math/kalman_filter/chapter_05.md)
- [이산 시간 칼만 필터(Discrete-Time Kalman Filter)](/booil-jung/docs/applied_math/kalman_filter/chapter_05/051.md)
- [연속 시간 칼만 필터(Continuous-Time Kalman Filter)](/booil-jung/docs/applied_math/kalman_filter/chapter_05/052.md)
- [초기 조건의 설정 및 영향](/booil-jung/docs/applied_math/kalman_filter/chapter_05/053.md)
- [필터 성능 분석: 추정 오차 공분산 분석](/booil-jung/docs/applied_math/kalman_filter/chapter_05/054.md)
- [수치적 안정성과 계산 효율성](/booil-jung/docs/applied_math/kalman_filter/chapter_05/055.md)
- [6장: 칼만 필터의 응용 사례](/booil-jung/docs/applied_math/kalman_filter/chapter_06.md)
- [항법 시스템(Navigation Systems)에서의 칼만 필터 응용](/booil-jung/docs/applied_math/kalman_filter/chapter_06/061.md)
- [신호 처리 및 통신에서의 칼만 필터 응용](/booil-jung/docs/applied_math/kalman_filter/chapter_06/062.md)
- [경제 및 금융 모델링에서의 칼만 필터 응용](/booil-jung/docs/applied_math/kalman_filter/chapter_06/063.md)
- [로보틱스 및 제어 시스템에서의 칼만 필터 응용](/booil-jung/docs/applied_math/kalman_filter/chapter_06/064.md)
- [이미지 및 비디오 처리에서의 칼만 필터](/booil-jung/docs/applied_math/kalman_filter/chapter_06/065.md)
- [7장: 칼만 필터의 한계와 개선](/booil-jung/docs/applied_math/kalman_filter/chapter_07.md)
- [칼만 필터의 기본 가정과 그 한계](/booil-jung/docs/applied_math/kalman_filter/chapter_07/071.md)
- [노이즈와 모델링 오차의 영향](/booil-jung/docs/applied_math/kalman_filter/chapter_07/072.md)
- [비선형 시스템에서의 한계점](/booil-jung/docs/applied_math/kalman_filter/chapter_07/073.md)
- [잡음 특성의 변동과 적응형 칼만 필터](/booil-jung/docs/applied_math/kalman_filter/chapter_07/074.md)
- [칼만 필터의 테스트 및 검증](/booil-jung/docs/applied_math/kalman_filter/chapter_08.md)
- [실험적 검증 방법](/booil-jung/docs/applied_math/kalman_filter/chapter_08/081.md)
- [시뮬레이션을 통한 성능 분석](/booil-jung/docs/applied_math/kalman_filter/chapter_08/082.md)
- [실제 데이터 적용 사례](/booil-jung/docs/applied_math/kalman_filter/chapter_08/083.md)
- [검증 지표와 분석 도구](/booil-jung/docs/applied_math/kalman_filter/chapter_08/084.md)
- [9장: 칼만 필터와 관련된 고급 주제](/booil-jung/docs/applied_math/kalman_filter/chapter_09.md)
- [정보 필터(Information Filter)](/booil-jung/docs/applied_math/kalman_filter/chapter_09/091.md)
- [스무딩 기법 (Smoothing Techniques)](/booil-jung/docs/applied_math/kalman_filter/chapter_09/092.md)
- [다중 모델 접근법 (Multiple Model Approach, IMM)](/booil-jung/docs/applied_math/kalman_filter/chapter_09/093.md)
- [신뢰성 있는 시스템 설계와 장애 대응](/booil-jung/docs/applied_math/kalman_filter/chapter_09/094.md)
- [10장: 결론](/booil-jung/docs/applied_math/kalman_filter/chapter_10.md)
- [칼만 필터의 요약](/booil-jung/docs/applied_math/kalman_filter/chapter_10/101.md)
- [향후 연구 방향](/booil-jung/docs/applied_math/kalman_filter/chapter_10/102.md)
- [칼만 필터의 미래 전망](/booil-jung/docs/applied_math/kalman_filter/chapter_10/103.md)
- [칼만 필터 예제](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples.md)
- [칼만 필터 예제](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_guide_ko.md)
- [칼만 필터를 이용한 위치 및 속도 추정](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_.md)
- [시스템 모델링](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/01_-_-_.md)
- [시스템 초기화](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/02_-_.md)
- [상태 벡터 $\mathbf{x}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/03_-_-_x.md)
- [업데이트 간격 t](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/04_-_-_t.md)
- [상태 전이 행렬 F](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/05_-_-_-_a.md)
- [입력 제어 행렬 B](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/06_-_-_-_b.md)
- [시스템 노이즈 w](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/07_-_-_w.md)
- [측정 모델 z](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/12_-_-_z.md)
- [측정 행렬 H](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/13_-_-_h.md)
- [예측 및 업데이트 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/21_-_-_-_.md)
- [프로세스 공분산 행렬 Q](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/22_-_-_-_-_q.md)
- [파이썬 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/31_-_.md)
- [C++ 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/01_1-_-_-_-_-_/32_c++_.md)
- [2차원에서 초기 위치와 방향이 주어진 경우 속도를 입력하여 위치를 추정하는 칼만 필터 예제](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_.md)
- [시스템 모델링 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/01_-_-_.md)
- [시스템 초기화](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/02_-_.md)
- [상태 벡터 $\mathbf{x}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/03_-_-_x.md)
- [상태 전이 행렬 $\mathbf{F}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/04_-_-_-_f.md)
- [입력 제어 행렬 $\mathbf{B}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/05_-_-_-_b.md)
- [시스템 노이즈 $\mathbf{w}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/06_-_-_w.md)
- [측정 모델링](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/11_-_.md)
- [측정 행렬 $\mathbf{H}$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/12_-_-_h.md)
- [측정 잡음 $\mathbf{v}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/13_-_-_v.md)
- [예측 및 업데이트 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/21_-_-_-_.md)
- [시스템 노이즈 공분산 행렬 $\mathbf{Q}\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/22_-_-_-_q.md)
- [파이썬 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/31_-_.md)
- [C++ 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/02_2-_-_-_-_-_-_-_-_/32_c++_.md)
- [칼만 필터를 이용한 3차원 위치 측정과 속도 추정](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_.md)
- [시스템 모델링 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/01_-_-_.md)
- [시스템 초기화](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/02_-_.md)
- [상태 벡터 모델링](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/04_-_-_.md)
- [상태 전이 행렬 $\mathbf F$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/05_-_-_-_f.md)
- [입력 제어 행렬 $\mathbf B$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/06_-_-_-_b.md)
- [측정 모델링](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/11_-_.md)
- [측정 모델 $\mathbf z\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/12_-_-_z.md)
- [측정 행렬 $\mathbf{H}$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/13_-_-_h.md)
- [예측 및 업데이트 단계](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/21_-_-_-_.md)
- [시스템 노이즈 $\mathbf w\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/22_-_-_w.md)
- [시스템 노이즈 공분산 행렬 $\mathbf Q\_k$](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/23_-_-_-_-_q.md)
- [파이썬 구현](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/31_-_.md)
- [C++ Eigen3 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_11_examples/03_3-_-_-_-_-_/32_c++_eigen3_.md)
- [부록 (Appendix)](/booil-jung/docs/applied_math/kalman_filter/chapter_99_appendix.md)
- [주요 수학적 공식과 정리](/booil-jung/docs/applied_math/kalman_filter/chapter_99_appendix/991.md)
- [칼만 필터의 Matlab/Python 구현 코드](/booil-jung/docs/applied_math/kalman_filter/chapter_99_appendix/992.md)
- [추가 참고 문헌 및 논문 리스트](/booil-jung/docs/applied_math/kalman_filter/chapter_99_appendix/993.md)