how he has written second term. kindly explain in steps thanks
Follow Math Help Forum on Facebook and Google+
Denominator: $\displaystyle (1-ae^{-jw})(1-ae^{jw})=1-ae^{-jw}-ae^{jw}+a^2=$ $\displaystyle 1+a^2-a(e^{-jw}+e^{jw})=1+a^2-2a\cos w\in \mathbb{R}$ Numerator: $\displaystyle 1-ae^{jw}=1-a(\cos w+j\sin w)=(1-a\cos w)+(-a\sin w)j$ Now, you can conclude.
thanks
View Tag Cloud