A direct digital synthesizer (30) with noise shaping circuitry can comprise a ROM-less direct digital synthesizer having a quantizer (40) and a noise shaping loop incorporating the quantizer for shaping a quantization noise due to noise from the quantizer. The noise shaping loop can comprise a noise shaping filter (44) and the noise shaping loop can feed back to the noise shaping filter a difference between an input signal (49) to the quantizer and an output signal (43) from the quantizer. The ROM-less direct digital synthesizer can further include a dither (39) combined at an input of the quantizer.