090126Lecture09

090126Lecture09 - 2 Channel modulation matrices 1 Y z = X z...

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ECE 700 WI 2 Channel modulation matrices [ ] [ ] [ ] [ ] 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 ( ) ( ) ( ) 1 ( ) ( ) ( ) ( ) ( ) ( ) 2 ( ) ( ) ( ) 1 ( ) ( ) ( ) ( ) ( ) 2 ( ) ( ) ( ) 1 ( ) ( ) ( ) ( ) ( ) ( ) 2 ( ) 1 ( ) ( ) 2 H z H z G z Y z X z X z H z H z G z H z H z X z G z G z H z H z X z H z H z X z Y z G z G z H z H z X z H z G z G z     = -     - -     -     =     - -     - -     - = - -     -     = = - - 0 1 1 0 1 0 0 0 1 1 1 ( ) ( ) ( ) ( ) ( ) Combining both, ( ) ( ) ( ) ( ) ( ) ( ) 1 ( ) ( ) ( ) ( ) ( ) ( ) 2 H z X z H z H z X z G z G z H z H z Y z X z G z G z H z H z Y z X z -         - -     -         =         - - - - -        
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ECE 700 WI Analysis and synthesis modulation matrices ( ) ( ) 0 1 0 0 0 1 1 1 [ ( )] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 ( ) ( ) ( ) ( ) ( ) ( ) 2 ( ) is called the Analysis Modulation Matrix and
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090126Lecture09 - 2 Channel modulation matrices 1 Y z = X z...

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