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hypothèse de linéarité d'un système mécanique implique que son admittance peut s'écrire sous la forme d'une fraction rationnelle de pôlynomes P et Q de (jo)) Après avoir choisi m (degré du numérateur) et n (degré du dénominateur), le problème est de déterminer les coefficients réels des polynômes P et Q qui permettent à la fraction rationnelle A(jw) d', approcher au mieux les valeurs expérimentales: A(w) P0+ Pi(jo)) + ... + Pm(iO))m -Qo + Qio)) + ... + Q(jw)n ,
nous avons pu déterminer p mesures de l'admittance (pour p pulsations différentes) Pour une pulsation o, nous obtenons A*(jo) ,
ERREUR La valeur de l'admittance identifiée pour une pulsation jo)k est A(jwk) = P(jk) ,