Abstract: A modulator (M) which may be installed in a wireless communication equipment, comprises i) a modulation means (SPC, M0, GM, CM0, CMI, MX1, US1) for generating digital I/Q signals associated to time slots of a group of time slots, filled with data bits of a burst and separated one from the others by a guard interval filled with guard bits, ii) a filter means (F0) for applying a chosen pulse shape defined by filter values to the digital I/Q signals to output modulated digital I/Q signals, and iii) initialization means (SPC?, M0?, GM?, CM0?, US1?, US2?, MX0) arranged, upon reception of a transmit burst of digital I/Q signals, to feed the filter means with chosen rotated valid symbols, time-aligned with consecutive guard bits and data bits respectively filling a guard interval and the consecutive time slots that enclose it, before transmission to the filter means of the last guard bits filling the guard interval, and/or with digital I/Q signals set to zero just after transmission to the filter means of the last d