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DEQPSK modulation

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I have implemented a DEQPSK demodulator with complex multiplication.

Ak = Ik.Ik-1 + Qk.Qk-1
Bk = Qk.Ik-1 - Ik.Qk-1

This demodulator good functionning with pi/4 DQPSK

I would like to demodulate classic DQPSK with this complex multiplication

Is it possible and so what is the mapping at the modulator ?

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