[{"data":1,"prerenderedAt":80},["ShallowReactive",2],{"glossary-en-advanced-filtering":3},{"id":4,"title":5,"body":6,"description":66,"extension":67,"meta":68,"navigation":75,"path":76,"seo":77,"stem":78,"__hash__":79},"en_glossary/en/glossary/advanced-filtering.md","Advanced Filtering: Unscented Kalman vs Standard Kalman",{"type":7,"value":8,"toc":58},"minimark",[9,14,18,23,31,55],[10,11,13],"h2",{"id":12},"when-standard-kalman-falls-short","When Standard Kalman Falls Short...",[15,16,17],"p",{},"The Standard Kalman Filter (KF) works on the assumption that the system moves linearly (e.g., a car moving at constant speed). However, the real world is chaotic.",[19,20,22],"h3",{"id":21},"extended-ekf-and-unscented-kalman-ukf","Extended (EKF) and Unscented Kalman (UKF)",[15,24,25,26,30],{},"If the system is ",[27,28,29],"strong",{},"non-linear"," (e.g., complex joint movements of a robot arm or a drone hit by sudden wind), standard KF produces erroneous results.",[32,33,34,41],"ol",{},[35,36,37,40],"li",{},[27,38,39],{},"Extended Kalman Filter (EKF)",": Tries to \"force\" the system into linearity using mathematical derivatives (Jacobian matrices). It requires processing power and can sometimes become unstable.",[35,42,43,46,47,50,51,54],{},[27,44,45],{},"Unscented Kalman Filter (UKF)",": Instead of linearizing the system, it takes a sample of possible scenarios (sigma points) and simulates them. Since there is no derivative calculation, it is ",[27,48,49],{},"more stable"," and usually yields ",[27,52,53],{},"more accurate"," results than EKF.",[15,56,57],{},"Amazeng's AI-powered modules utilize lightweight UKF algorithms to clean complex signal noise.",{"title":59,"searchDepth":60,"depth":60,"links":61},"",2,[62],{"id":12,"depth":60,"text":13,"children":63},[64],{"id":21,"depth":65,"text":22},3,"Noise reduction in non-linear systems and the superiority of the Unscented Kalman Filter (UKF).","md",{"tags":69},[70,71,72,73,74],"Kalman Filter","UKF","EKF","Estimation","Robotics",true,"/en/glossary/advanced-filtering",{"title":5,"description":66},"en/glossary/advanced-filtering","9amJwHL0d5ZDm0POH2Ayq3N24h-EiCAUD2BzUqG-jTs",1778229654790]