RESPONSE OF RECTIFIER TO SIGNAL AND NOISE 113 



the author.* Under the assumed conditions that the original noise spectrum 

 is either flat throughout a limited range, or falls off like an error function, 

 and that the audio amplifier passes all the difference components in question, 

 we find the following results: 



(73) 



(74) 



2p0 — pr — pi'. 



TF,,.„n = ^"6-"-'/"^"/?(IF,/2TF„) 



OTT 

 pQ-\- Pi — Pr — Ps'- 



Win.nr. = ^T^^/"" [/o(IF./2IF„) - h{Wj2Wn)f 



327r 



3^0 — Pq — Pr — P» ' 



TF3..„„n = "^ e-'^-/'^- [(1 + mjW.)L(W,/2Wn) (75) 



- Io{W,/2Wr.)f 



This includes all beats containing not more than three noise fundamentals. 

 The reductions of hypergeometric functions to exponential and Bessel func- 

 tions given in Appendix II have been used in deriving the above results. 



8 Bennett, "Cross-Modulation in Multichannel Amplifiers," BellSys. Tech. J our., Oct. 

 1940, Vol. XrX, pp. 587-610. 



