An ASK modulator includes a baseband unit which obtains a sequence comprising at least one amplitude value and adds an additional value to each of the at least one amplitude value to generate a modified sequence; a digital-to-analog converter coupled to the baseband unit, the digital-to-analog converter converts the modified sequence to generate a first signal, the additional value is determined based on a half scale of the digital-analog converter; and a mixer which receives the first signal and a second signal and generate a modulated signal by mixing the first signal with the second signal.