In one embodiment, a method for converting an input digital signal into an analog signal is provided. The method comprises modulating the input digital signal into a modulated digital signal, and converting the modulated digital signal into the analog signal using a digital-to-analog converter (DAC). The modulation shapes quantization noise of the DAC to place a notch at a frequency within an out-of-bound frequency band to reduce the quantization noise within the out-of-bound frequency band.