3-Lesson_Notes_Lecture_19 - EE 204 Lecture 19 Review of...

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EE 204 Lecture 19 Review of Complex Numbers Complex Numbers: Any complex number A can be expressed as A a jb = + Where: a = real part of A b = imaginary part of A 1 j Both a & b are real numbers The bar on the top is used to denote that A is a complex number Basic Complex Number Operations: A brief review of basic complex number operations will be presented next Powers of j : ( ) 2 2 1 1 j = = − ( ) ( ) ( ) 3 2 3 1 1 1 j j = = × = − 4 2 2 ( 1) ( 1) 1 j j j = × = − × − = 5 4 (1) ( ) j j j j j = × = × = 6 4 2 (1) ( 1) 1 j j j = × = × − = − and so on
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