MULTICHANNEL AMPLIFIERS BELOW OVERLOAD 607 



«2e„2 = ^' E Qr? + ^J: Qn' COS (2np + 2q„)t 



tij m— 1 



+ «2 E E <2™<2n COS [(m + n)p + g„ + g„]/ 



+ «2 E E QmQn COS [(m - «)^ +-2« - g„]/. (2) 



Similarly the term asC^,^ may be written as a triple series in /, m, n 

 as follows: 



O'Z^O^ = ^ E <2n^ cos (w/> + qn)t 

 ^ n=ni 



"a 



+ T ^ ^"^ cos (3w^ + 3gn)/ 



+ -y^ L E ^m^<2n COS (w^ + g„)/ 

 ^ m— ni+1 n— ni 



■2_ "J »"— 1 



+ ^ L E <2m(2n^ COS {mp + g„,)^ 



O Tlj Wl— 1 



+ -r T. i: QJQn COS [(2m + n)p + 2g„ + g„]/ 



3a "' "*~^ 

 + ^ E E <3m''<2n COS C(2w - n)p + 22;„ - 2„]/ 



3a "* """^ 



+ V ^ ^ <2'»^"' c°s [(m + 2«)^ + g. + 22„]/ 



^ m=ni+l n— ni 

 3a "' """^ 



+ -T^ E E <2-<2n2 cos [(m - 2n)p + 2„ - 2g„]/ 



^ »n=ni4-l n=ni 

 + ^' Z E E P.PnJ'n 



X {cos [_{l + 771 -\- n)p + gj + g„ 4- gn]/ 

 + cos [(/ + m - w)^ + gi + gm - qn]t 



+ cos [(/ - W + W)^ + g_l - g.m + qn^ 



+ cos [(/ - w - n)p + gi - g« - g,]/}. (3) 



