A study is presented on the DDM (double delta modulation) system which incorporates another modulation loop in front of the delta modulation system. DDM is proposed to delta modulate the error signal which is derivated through the ordinary delta modulation. This system is constructed simply by adding a differential amplifier and an integrator to the basic DM system. Since signal-to-quantization noise ratio SNR is the most informative measure of quantizer performance, the formula of the max. SNR of the DDM system is derived and investigated experimentally for a sinusoidal input. The max. SNR of the DDM is larger than that of DM in low bit rate region and vice versa in high bit rate region