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The OP stated he was interested in $\pi/4$-DQPSK (not QPSK), so phase synchronization is presumably not an issue for him. As far as the actual implementation is concerned, you'll save yourself some time if you become familiar with the bottom of pages 29 (symbol mapping) and 37 (differential detection) in this student paper. Ignore all the old TI DSP-chip ...


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For this specific waveform as described, the following would demodulate the signal from the Frequency Shift Modulated Input into a square wave output: This works given the duration of the "0" symbol is 12 samples by using a "delay and multiply" frequency discriminator. The multiply will have a strong double frequency component that needs to be filtered out (...


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