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Rca1948FrequencyModu.. - The New Jersey Antique Radio Club

Rca1948FrequencyModu.. - The New Jersey Antique Radio Club

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(wTRANSMISSION THROUGH A NETWORK 443M 2N2 i eout= S 2 Jr, 1 -]) [t +1 i(Ci: ° >v)t(A m cos km,r]v + B m sin km-qv)711=0 -q=— 2N— e-i^+vv) *(Am * cos km-qv + B m* sin km-qv) ].(48)Changing cos km-qv and sin km-qv to exponential form,M 22Vm=0 i?=—22V(V'[(u + + >n'> t kmr/v] _|_ £ i[(u +!)«) *— S:mi7»])+ _i( £ j'r(u + ijti) f ftmiju] £i[(u +))))) f— ftmijv])2/4 *2B *(49)2/<strong>The</strong> Bessel coefficients are combined with the exponentials by the useof the relation,22V2 J v im-f) i" e sin~ tm *>l)=—2Nwhich is accurate because the J n(m ) 'a fbelow -q = — 22V and aboveq — 27V are negligible by the definition of N.M2ie„ut= S ( £i[K„' + mf sin (»f + tfflt)]L 2B.-(- e + /[]) — ( e yt f + »»/ sin (— «* + fcm«)]+ e J 'e i[— w2//[— o) t + m/ sin (£— ^(-fcrnu)] \ (50)

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