How to build a predictiv system

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