TABLE II 



Number of Products Falling in ^th Channel of Multichannel Carrier System 

 WITH Harmonic Carrier Frequencies rtip, (»i + !)/>, ... (ni + iV— 1)^ 



Wi/> = Lowest Carrier Frequency. iV= Number of Channels. 



n2p = (ni+iV—l)/) = Highest Carrier Frequency. /(x) =" Largest Integer^oc." 



kp = Carr, Freq. Associated with Mod. Product. No. of Products is Outside Ranges Indicated. 



Type 



Number of Products 

 Second Order 



2A. 



A+B 



k k 



1, ni^-^ii2 if - is an integer 



7h—llxj, W1 + W2— ^— 2H2 



A-B N-k,0<k<N 



Third Order 



3A 



k . k . 

 1, wi<-<M2 if T is an integer 



2A+B 



2A-B. 



A-2B. 



A+B+C.A 



„,_7g) + /(^^)_/(^i:^) + l,„, + 2«2<^<3«2 

 j/'!!!+^A _„, + !, 2Hi-K2</fe<wi-l, k^O 



n2+'i. — l(— — ^ ], n2+l— ^— 2w2 — wi 



lC^^^^\-ni + l, 0<k<n2-27ii, W2^2n, 



/( -7 )+/ Yz ■ ' "i + 2w2-l^«^3w2-3 



2wi+«2+2<^^mi+2m2— 2 



A+B-C.A 



N-n^ + k\ ^/'N-m + k + \ 



' i(i^:zli±i),( 



Y 2ni — 7h 



+ l^k^ni-i 



Note: Number of products included in which k — ni, wi<^<ni + 



N-1 



^-channel signal is one fund, component = - 



rii — k, rti + 



iV-1 



Kk^ru 



A-B 



-C. j(^N-^yi^N~^k^n^y 0<;fe<«2-2«,-l, n2>2«. + l 



Note: Number of products included in which 

 ^-channel signal is one fund, component = 



N-2k-\, m^k'- 



J. "2—1,^1. 



k — n\, :^ "^k- 



N-2k, 



3 " 



«2 + l. 



.K2— 1 



- W2+1 



" 3 



.N 



