

InterviewSolution
Saved Bookmarks
1. |
If a possible representation of a band pass signal is obtained by expressing xl (t) as \(x_l (t)=a(t)e^{jθ(t})\) then what are the equations of a(t) and θ(t)?(a) a(t) = \(\sqrt{u_c^2 (t)+u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\)(b) a(t) = \(\sqrt{u_c^2 (t)-u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\)(c) a(t) = \(\sqrt{u_c^2 (t)+u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_c (t)}{u_s (t)}\)(d) a(t) = \(\sqrt{u_s^2 (t)-u_c^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\)This question was addressed to me in semester exam.This key question is from The Representation of Bandpass Signals in portion Sampling and Reconstruction of Signals of Digital Signal Processing |
Answer» The correct answer is (a) a(t) = \(\SQRT{u_c^2 (t)+u_s^2 (t)}\) and θ(t)=\(TAN^{-1}\frac{u_s (t)}{u_c (t)}\) |
|