Abstract: The successive symbols of a digital stream are converted into phase increments which are accumulated. A modulating phase is obtained by filtering the accumulated phase. A complex signal is produced whose argument represents the modulating phase. Two quadrature radio waveforms are respectively modulated on the basis of that complex signal, and a radio signal resulting from a combination of the two modulated waveforms is transmitted. The complex signal may be filtered digitally. Its real and imaginary components are converted into analog form, and are subjected to anti-aliasing analog filtering and then mixed with the two radio waveforms. Appropriate sizing of the digital filters provides efficient modulation with small envelope variations, causing little adjacent channel interference and a low error rate.

Abstract: A receiving device performs N separate demodulations (N.gtoreq.2) each supplying respective estimates of successive binary symbols resulting from differential coding of a sequence of bits sent by a transmitting device, the differential coding being of the form a.sub.k c.sub.k .sym.a.sub.f(k) where a.sub.k and c.sub.k designate the binary symbol at position k and the bit at position k, f(k) designates an integer equal to k-1 at most and .sym. designates the exclusive-OR operation. Each estimate of a binary symbol at position k is a real number s.sub.k.sup.(i) (1=i=N) the sign of which represents the most probable value of the symbol and the modulus of which measures the likelihood of the most probable value.