How to build a predictiv system

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Hi ;
i'm using simuling to predict a signal with measurment horizon of 10 sec
my signal is a speed by time signal, with a duration of 800 sec
i want to build a system that can predict the the next 10 sec by measuring the past 10 sec
i've heard about MPC and Kalman filter , but i've never used those :/
thanks for your help

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