With the progress in mobile communication as the background, researchers have become interested in digital signaling techniques. The quadrature modulator and the quadrature demodulator are employed in those techniques.This paper aims at the suppression of the waveform distortion in such a quadrature modulator/demodulator and proposes the affine transformation distortion compensation for the linear distortion (ADC). The linear distortion is attributed to: (i) dc offset in the baseband signal; (ii) unbalance of IIQ amplitudes; and (iii) phase offset of quadrature reference carrier. It is shown that those can be eliminated by ADC. A method is shown which estimates the ADC parameters of the quadrature modulation from the output of the level detector for the modulated wave. A method is also shown which estimates the ADC parameters for quadrature demodulation from the detected component in the received wave. ADC is actually implemented in the QPSK transmission system using the decision feedback equalinx. The characteristics are examined experimentally, and the usefulness of the method is demonstrated.