Techniques for constant envelope phase modulation and demodulation of a wireless signal such as BLE are described. The method comprises: dividing a binary data stream to be transmitted into a plurality of groups of binary data according to a predetermined phase modulation mode, each group of binary data comprising a plurality of bits; mapping the binary data stream into a plurality of phase symbols, wherein each group of binary data is mapped into one phase symbol; modulating a phase sequence composed of the phase symbols into a phase signal using a phase waveform obtained by integrating a predetermined pulse function; and converting the phase signal into two baseband signals by means of a cosine function and a sine function respectively.