A method including receiving, via a frontend of a communication device from a communication link, a cascaded waveform modulation with embedded control signal (CWM-CS); performing time-domain demultiplexing on the CWM-CS to obtain a first waveform modulation signal (W1), a second waveform modulation signal (W2), and a control signal (CS); training a channel equalizer based on the control signal; performing channel equalization on the first waveform modulation signal, the second waveform modulation signal, and the control signal CS; performing time-domain de-multiplexing on the first waveform modulation signal W1, the second waveform modulation signal W2, and the control signal CS; applying a rounding function to the first waveform modulation signal W1; generating a recovered signal (S), by summing the first waveform modulation signal W1 and the second waveform modulation signal W2; recovering data from the recovered signal S; and recovering control information by demodulating the control signal CS.