Effects of Narrow-Band Filters on the Output Envelopes and Phases of Joint AM-FM Inputs: An Analytical Extension of the Bedrosian-Rice Formulation

The problem of determining the waveform distortion produced by a (symmetrical) 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 [1]. Here, both the instantaneous angle and envelope of the resulting narrowband output are determined. These 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.