20092ee132B_1_hw1sol

20092ee132B_1_hw1sol - UCLA Electrical Engineering...

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Unformatted text preview: UCLA Electrical Engineering Department EE132B HW Set Solution #1 Professor Izhak Rubin Solution to Problem 1 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 2 2 2 2 2 2 2 2 2 2 2 Let 1 . (1) 1 1 1 1 1 1 (2) 1 1 1 1 1 2 1 1 1 1 1 n n n n n n n n n n n n n n n n q p 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 - = = = = - = = = = = - =- =- =-- =- = =-- =-- =-- =- =- =- =- +- = - ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 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 q q E N q q p Var N E N E N p q = = =- = - = =- = -- = = =- =- =- + =-- =- = = - Solution to Problem 2 ( 29 ( 29 ( 29 ( 29 ( 29...
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This note was uploaded on 04/12/2010 for the course EE 132B taught by Professor Izhakrubin during the Spring '09 term at UCLA.

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20092ee132B_1_hw1sol - UCLA Electrical Engineering...

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