102_1_zdic1_wscript

# 102_1_zdic1_wscript - EE102 Signals & Systems...

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Unformatted text preview: EE102 Signals & Systems Discussion #1 October 01 2010 Zhongnan Fang 1. Operations on a Signal (b) .7:(t 7+ 1) (C) 56(75 * 1) 2 Periodic Simal 20 (21) Given {WC digital periodic, signal: (b) Given "WU COHEE’IOEES tﬁme perigdiq s»:in , " 72,773), What is the minim um perigd 0 /W,‘am~m«, wmmmmwu mam mwwmwmnww J (c) Consider the periodic signal What is the period? What is the minimum period of \$(4t) What is the minimum period of 95(425) >< x(t) ; ﬁ’él’t‘flfﬂ'vﬁéf-ﬁ‘r 3. Energy and Power Signals Find the energy and power of following signal ﬂti‘ / [Vii—4 1/2 h] a (a) (hint: J11“ (midi : r—La {22 (é , 4. Review of Complex Numbers Cartesian form: 2 v”: a +jb; r a, :z t") wk» m (a) Conjugation: 2* z a m jb (b) Magnitude: |2| 2 v a2 + Z)?- (c) Phase: 95(2) : taii‘1(b/a) Polar form: 2 : rem, where 67¢ : cos(gz'>) + j sin((b) (Euler’s formula) i E (a) Conjugation: z* 2 ref” (b) Magnitude: : 7- (c) Phase: 45 (d) Real part: 5M2) 2 rcos(gb) (e) Imaginary part: :— T'Sln(¢) Excercise: (a) (b) (c) 4‘ ((1) Given w : 1 + jffind a set of complex numbers 2 that satisfy 1/2 g 12 — ml 3 1. ; Sketch the region in a complex plane 9; i (e) Find a set of complex numbers 2 that satisfy [2 ~~ j| : {z + Sketch the region in a complex plane. This can be veriﬁed by using Taylor series VT 2 , ,= 5 L7 , 9 h ...
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## This note was uploaded on 04/20/2011 for the course EE 102 taught by Professor Levan during the Fall '08 term at UCLA.

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102_1_zdic1_wscript - EE102 Signals & Systems...

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