An example sigma delta modulator (SDM) circuit includes a floor circuit, a subtractor having a first input coupled an input of the floor circuit and a second input coupled to an output of the floor circuit, and a multi-stage noise shaping (MASH) converter having a programmable order. The MASH converter includes an input coupled to an output of the subtractor. The SDM further includes a programmable delay circuit having an input coupled to the output of the floor circuit, and an adder having a first input coupled to an output of the MASH converter and a second input coupled to an output of the programmable delay circuit.