HW#4_solution

HW#4_solution - HW4 1. vin (t ) = 2 cos(2 t ) 1 + cos(4 t )...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
HW4 1. ( ) 2cos(2 ) in vt t π = a) 2 ( ) 10cos(2 ) 0.1cos (2 ) out t t ππ = + 22 44 4 4 2 2 5 2 1 cos(4 ) ( ) 10cos(2 ) 0.1 2 11 10 ( ) 0.05 0.05 ( ) 0.05 5 5 0.025 0.025 | [ ]| (0.025) 2.5 10 46.02 | [1] | 5 out jt out k out t t ee e e Vk THD dB V −− = + = + = + ++ + = + + = = = ×= b) 0 1 ,0 0.5 () 1 1 ,0.5 1 out t T t <≤ = = 0 1 2 00 0 0.5 1 0 0.5 2 0.5 2 1 0 0.5 1 [ ] 0, [] | | 1 (( 1) 1) (1 ( 1) ) 0 , 2,4,6. .. 2 o T jk t jk t out out out jk t jk t jk t jk t out k kk out V k v t e dt v t e dt T e e dt when k e e jk jk jk jk jk k jk ω = = = = + = − − + = = ∴= ∫∫ 2 2 21 2 1 2 , 1, 3, 5. .. 41 | ( ) 1 ( )( ) 4 | 2 1 0.234 6.31 out k out k k THD Use Matlab to culculate dB ∞∞ = = = = + = = = + = = − ∑∑
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. 3 () out in in v t vt v t = Method 1) If 0 ( ) cos( ) in vt t ω = , then 3 00 0 0 0 2 2 2 22 ( ) cos( ) cos ( ) 1 cos(2 ) cos( ) cos( ) 2 11 cos( ) cos( )cos(2 ) cos( ) {cos(3 ) cos( )} 24 cos( ) cos(3 ) 44 | [ ]| (1/ 4) 10 | [1] | out out k out t t t tt t t Vk THD dB V ωω = = + = = = −+ = = = = = Method 2) If 0 jt in vt e = , then 0 3 o j t out vt e e = 2 2 2 | 1 | 1 out k out THD dB V = = = = =
Background image of page 2
3. THD THD(dB) ( ) 0.01cos( ) in vt t ω = 4 4.18 10 × -33.48 ( ) 0.25cos( ) in t = 3 3.9 10 × -24.08 ( ) 0.5cos( ) in t = 2 1.54 10 × -18.12 ( ) cos( ) in t = 2 5.94 10 × -12.27 1000, 0.00001, ( ) 100 f
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/16/2010 for the course EE 201 taught by Professor Kruempel during the Spring '06 term at Iowa State.

Page1 / 4

HW#4_solution - HW4 1. vin (t ) = 2 cos(2 t ) 1 + cos(4 t )...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online