Method for monitoring a status of a tyre fitted on a vehicle, the method comprising: - in a first operative phase with said tyre in a reference status: - during an advancement of said vehicle, acquiring at least one first signal representative of a motion of a crown portion of said tyre; - obtaining a first frequency spectrum of said at least one first signal, said first frequency spectrum comprising a first plurality of peaks; - identifying a first determined peak in said first plurality of peaks and determining a first frequency of said first determined peak; - in a second operative phase subsequent to said first operative phase: - during an advancement of said vehicle, acquiring a second signal representative of said motion of the crown portion; - obtaining a second frequency spectrum of said second signal, said second frequency spectrum comprising a second plurality of peaks; - identifying a second determined peak in said second plurality of peaks corresponding to said first determined peak in said first plurality of peaks, and determining a second frequency of said second determined peak; - determining a reference frequency as a function of said first frequency of said first determined peak; - determining a current frequency as a function of said second frequency of said second determined peak; - monitoring said status of the tyre on the basis a) either of a comparison between said current frequency and said reference frequency, or b) of a comparison between two values of a same physical quantity, said two values being correlated to said current frequency and to said reference frequency respectively, wherein said physical quantity is a mass or a moment of inertia or a stiffness of the tyre. - in a first operative phase with said tyre in a reference status: - during an advancement of said vehicle, acquiring at least one first signal representative of a motion of a crown portion of said tyre; - obtaining a first frequency spectrum of said at least one first signal, said first frequency spectrum comprising a first plurality of peaks; - identifying a first determined peak in said first plurality of peaks and determining a first frequency of said first determined peak; - during an advancement of said vehicle, acquiring at least one first signal representative of a motion of a crown portion of said tyre; - obtaining a first frequency spectrum of said at least one first signal, said first frequency spectrum comprising a first plurality of peaks; - identifying a first determined peak in said first plurality of peaks and determining a first frequency of said first determined peak; - in a second operative phase subsequent to said first operative phase: - during an advancement of said vehicle, acquiring a second signal representative of said motion of the crown portion; - obtaining a second frequency spectrum of said second signal, said second frequency spectrum comprising a second plurality of peaks; - identifying a second determined peak in said second plurality of peaks corresponding to said first determined peak in said first plurality of peaks, and determining a second frequency of said second determined peak; - during an advancement of said vehicle, acquiring a second signal representative of said motion of the crown portion; - obtaining a second frequency spectrum of said second signal, said second frequency spectrum comprising a second plurality of peaks; - identifying a second determined peak in said second plurality of peaks corresponding to said first determined peak in said first plurality of peaks, and determining a second frequency of said second determined peak; - determining a reference frequency as a function of said first frequency of said first determined peak; - determining a current frequency as a function of said second frequency of said second determined peak; - monitoring said status of the tyre on the basis a) either of a comparison between said current frequency and said reference frequency, or b) of a comparison between two values of a same physical quantity, said two values being correlated to said current frequency and to said reference frequency respectively, wherein said physical quantity is a mass or a moment of inertia or a stiffness of the tyre. a) either of a comparison between said current frequency and said reference frequency, or b) of a comparison between two values of a same physical quantity, said two values being correlated to said current frequency and to said reference frequency respectively, wherein said physical quantity is a mass or a moment of inertia or a stiffness of the tyre.