20105ee132B_1_hw1sol

# 20105ee132B_1_hw1sol - UCLA Electrical Engineering...

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UCLA Electrical Engineering Department EE132B HW Set Solution #1 Professor Izhak Rubin Solution to Problem 1                                      1 0 0 0 0 22 00 2 2 2 2 2 Let 1 . (1) 1 1 1 1 1 1 (2) 1 1 1 1 1 2 11 1 1 1 n n n n n n n n nn qp d E N n q q q q nq q q q dq d q p q q q dq q p E N N n n q q q q n n q d d q q q q q q q dq dq q q Var N E N N E N E N                         2 2 0 1 2 2 1 2 2 2 2 2 2 2 2 1 (3) For Re( ) 0, we have 1 ( ) 1 1 1 (4) ( ) | 1 ( ) | [ ( 1)] [ ] [ ] where 1 1 1 N n n n z z p p q s q z E z z q q qz d q p E N z dz q p d z E N N E N E N dz qq EN q Var N E N E N p q

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Solution to Problem 2                  
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20105ee132B_1_hw1sol - UCLA Electrical Engineering...

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