Hzz Qjw L 4ej w 2ej 2 w Find Magnitude and Phase of the

H(z)/z = Qjw = L + 4e^-j w + 2e^-j 2 w Find: Magnitude and Phase of the above expression, i.e., |H(ejw)/& H(ej^w)

Solution

h(z)=1+4(cosw-jsinw)+2(cos2w-jsin2w)

or

take e^-jw common

h(z)=e^-jw(e^jw+4+2e^-jw)

=e^-jw(4+cosw+e^-jw)

hence magnitude is 4+cosw

phase is -jw