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EE620-HW-03-solutions

# EE620-HW-03-solutions - EE 620 MIMO Wireless Communications...

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1 EE 620: MIMO Wireless Communications Solutions for Homework #3: (1) 0 1 0 2 2 0 C C - = - , 0 2 2 2 2 2 C C - = - , 0 3 2 0 0 2 C C - = , 1 2 2 0 0 2 C C - = , 1 3 2 2 2 2 C C - - = , 2 3 0 2 2 0 C C - - = , ( ) 0 1 det 4 C C - = , ( ) 0 2 det 8 C C - = , ( ) 0 3 det 4 C C - = ( ) 1 2 det 4 C C - = , ( ) 1 3 det 8 C C - = , ( ) 2 3 det 4 C C - = The normalized coding gain is ( ) 1 1 2 2 ' ' 1 1 1 min det 4 0.7071 2 2 2 2 2 l l l l C C ζ = - = = (2) 0 1 2 2 2 2 2 3 j C C j - = - - , 0 2 2 2 2 2 2 3 j j C C j j - - = - - , 0 3 0 2 2 2 2 2 0 3 j C C j - - = - - ,

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2 1 2 0 2 2 2 2 2 0 3 j C C j - - - = - , 1 3 2 2 2 2 2 3 j j C C j j - - - = - , 2 3 2 2 2 2 2 3 j C C j - - = - , ( ) 0 1 16 det 3 C C - = , ( ) 0 2 16 det 3 C C - = , ( ) 0 3 16 det 3 C C - = ( ) 1 2 16 det 3
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EE620-HW-03-solutions - EE 620 MIMO Wireless Communications...

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