EE422G

solutions to HW#5

1a)

 

1c)

 

 

True magnitude at s=jw c : = -3 db. The maximum error difference between the actual and asymptotic Bodes plot is -3dB

 

2a)

T=8p sec Þ f=1/(8p ) Þw =1/4 rad/sec; |H(jw )|=14/6=7/3; Ð H(jw )=(3.5p )/(8p ) ´ 360° = 157.5°

 

2b)

 

2c)

Response due to the input: w(t)=5u(t-4)

 

 

2d)

at w=wn, |H(jw)| = 8 = 18.06dB

 

2e)

 Unit step response: