JNTU 'sadda

1.2 (a) Sketch the signal x(t). Represent the signal in terms of unit step functions. a) Given x(t)=t+1 when t>=-1 and t<=1                   And x(t)=0 elsewhere              At  t=-1   x(t)=0              At t=0    x(t)=1              At t=1    x(t)=2                      x(t)                                                ...

1.1 )   Consider the following signals having the same frequency but different amplitudes    and phase components.  h(t)= 1.2cos(500 πt-π/5)  and g(t)= cos( 500 πt+π/3). (a) Test whether the signal s(t)= 1.2+ 0.5 h(t) is periodic signal or not. If it is periodic find the  fundamental period and its power / energy.   Ans: Given h(t)=1.2cos(500 π t- π /5) and g(t)=cos(500 π t+ π /3) a)      s(t)=1.2+0.5h(t)       =1.2+0.5(1.2cos(500 π t- π /5))       =1.2+0.6(cos(500 π t- π /5))  Since s(t)=Acos( Ω ₒ t+ Ø )     A=0.6     Ω ₒ = 500 π then F ₒ =250Hz     Ø= - π /5            Then s(t+T ₒ )=1.2+ 0.6(cos(500 π( t+T ₒ )- π /5))  T ₒ =1/ F ₒ =1/250      = 1.2+0.6cos(500 π t+2 π- π /5)      =1.2+0.6cos(500 π t ...