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generator matrix for Alamouti code for Hard decision ML decoding

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upmhafiz

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Hi,

I want to use hard decision maximum likelihood decoding to decode Alamouti code (2 transmit antenna). For that, I need G (and corresponding) H matrices. I wonder how can I design G for complex symbols? Let me explain with example.

Let s_1 and s_2 be the two symbols to be transmitted then mG (or Gm)=[s_1;s_2 -s^*_2;s^*_1] (; shows column-wise entries) where m=[s_1;s_2]. What will be G?

Asif
 

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