RF telemetry for an active medical device such as active implant or programmer for such implant. The device includes at least one RF antenna (14), and at least one RF telemetry transmitter/receiver (44) with, for coupling to the antenna, an associated band rejection filter (54). The band rejection filter (54) comprises at least one volume acoustic wave BAW resonator (40) of the SMR type with insulation by Bragg acoustic reflector (42). The device can be a multi-band device comprising a plurality of RF transmitters/receivers (12, 44) operating in respective distinct bands of frequencies such as the 402˜405-MHz, 863˜870-MHz, 902˜928-MHz and 2.4-GHz bands or by UWB transmission.