In a multiple QAM system in which a pair of quadrature-phase carrier signals is modulated by a first and a second input digital signal, each representative of N or less levels, into a quadrature-phase amplitude modulated signal having M signal points on a phase plane where M=N2, a code converting unit converts the digital signals according to a predetermined rule into a first and a second modulating signal for use in modulating the carrier signals with the M signal points arranged approximately at a circle of a diameter which is shorter than a diagonal of a square of a side corresponding to the N levels. In a counterpart demodulating system, a pair of demodulated signals is derived from the amplitude modulated signal and converted into reproductions of the respective digital signals according to an inverse of the predetermined rule. |