Effects of narrow-band filters on the output enalytical extension of the Bedrosian-Rice formulation

The problem of determining the wave-form distortion produced by a (symetrical) narrow-band linear filter when an off-tune, simultaneously amplitude- and angle-modulated carrier is introduced, is analytically solved by an extension of the Bedrosian-Rice approach. Here, both the instantaneous angle and envelope of the resulting narrow-band output are determined. The results provide a basis for numerical calculations and extension to the more complex problem of interference effects produced by multiple inputs of the above type.