An embodiment of the invention provides one or more cascade circuits that are cascaded together to form a cascaded circuit. The cascaded circuit reduces noise at an analog output of the cascaded circuit. Each of the cascade circuits contains a noise-shaping circuit, a PCM (Pulse Code Modulation)-to-PWM (Pulse Width Modulation) converter and a 1-bit P-tap AFIR (Analog Finite Impulse Response) filter DAC. Noise at the output of the cascaded circuit may be further reduced by increasing the number of cascade circuits.