Parameter and time-delay identification for MISO-FIR systems based on the orthogonal matching pursuit algorithm

This paper considers the identification problem of the multiple-input single-output finite impulse response (MISO-FIR) systems with unknown time-delays and orders. For an MISO-FIR system with a large number of inputs and unknown input time-delays, the corresponding mathematical model contains a large number of parameters, requiring a large number of observations for identification, and leading to a heavy computation burden. Inspired by the compressed sensing theory, this paper presents a threshold orthogonal matching pursuit algorithm to simultaneously identify the parameters, orders and time-delays of the MISO-FIR systems. The proposed method requires only a small number of sampling data compared to the conventional identification methods such as the least square method. A simulation example is given to illustrate the effectiveness of the proposed algorithm.