Rca1948FrequencyModu.. - The New Jersey Antique Radio Club

MULTIPATH DISTORTION 191Appendix IDerivation of Equations for Frequency-Modulation DistortionCaused by Multipath TransmissionThe analysis of this appendix is similar to that developed byCrosby, 4 and is repeated here for convenience. It will serve as an introductionto the derivation in Appendix II.Let one frequency-modulated wave be delayed with respect toanother by a given time interval t . This condition can be caused by atwo-path transmission, where one path islonger than the other by afixed distance. The equations for the instantaneous voltages of thetwo signals are£i cos0-j/ er^^-EesrneFig. 24—Composition of two vectors.D/\e x— E 1 sin I