A guided acoustic wave resonant device is provided. The device comprises at least two filters (F1, . . . , Fi, . . . , FN), each filter comprising at least two acoustic wave resonators (R11-R12, . . . , Ri1-Ri2, . . . , RN1-RN2), each filter having a useful frequency band (BF1, . . . , BFi, . . . , BFN) centered on a central frequency (f1, . . . , fi, . . . , fN), each resonator comprising at least one suite of inter-digitated upper electrodes exhibiting a periodic structure of period (Λij) and a layer of piezoelectric material, each resonator having a coupling coefficient (k21, k22, . . . , k2n) and a resonant frequency (fr1, . . . , fr2, . . . , fN), wherein at least one of the resonators comprises a differentiation layer (CDfi) making it possible in combination with the period of the inter-digitated electrodes to modify the coupling coefficient of the said resonator, the useful band and the central frequency being determined by the resonant frequencies and the coupling coefficients of the resonators which are adapted so as to have a determined useful bandwidth.