A Soft Demodulation Method of Quadrature Amplitude Modulation
A technology of quadrature amplitude modulation and soft demodulation, applied in the field of communication, can solve the problem that the accuracy of soft demodulation information and storage capacity are difficult to achieve a good balance
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[0020] The soft mapping method of QAM can be deduced as follows: mark time k, bit set {u k,i}, i=1,2,3...m is mapped to the real number pair {A of the constellation mapping plane k ,B k}, and the in-phase branch and quadrature branch X of the demodulator receiving data k , Y k It can be expressed as:
[0021] x k =a k A k +NI k Y k =a k B k +NQ k
[0022] where a k It is a Rayleigh random variable under Rayleigh fading channel and 1 under Gaussian white noise channel.
[0023] Among them, NI k and NQ k is the mean is 0 and the variance is Gaussian noise, and they are independent of each other.
[0024] Then the soft output of each bit, that is, the logarithmic likelihood ratio LLR (Logarithm of Likelihood Ratio) is:
[0025]
[0026] Using Bayesian criterion, and since P{u k,i =1}=P{u k,i =0}, the above formula gets:
[0027]
[0028] If the divisor of the QAM mapping is an even power of 2, the in-phase signal X n and the quadrature signal Y n In...
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