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A novel concept of pulse-amplitude-modulated discrete multitone modulation (PAM-DMT) is presented. It is shown that by pulse amplitude modulation of the subcarriers used, the resulting PAM-DMT time signal can be clipped asymmetrically to achieve a unipolar signal for transmission. The distortion resulting from this asymmetric clipping is orthogonal to the information signal itself, causing no additional penalty. Especially in intensity-modulated direct-detection optical channels, where a unipolar signal is to be transmitted, it is shown that this idea can improve system performance.