ELECTRICAL N'OISE IN SEMICONDUCTORS 07") 



Under the assumption that {]\o sonrces are statistically indcpciKlcnl , 

 the total voltafio scinarcd is ol)tain('d l)y into,<>;ratinfj; the s(|naic of (2) 

 oxer all t he sources. 



/*n 



2 2 T I "ixoKr -all -(o+L)/<l2 , 



J— 00 



+ Iu r\y - e-^"^""^""? r/.ro 



= lu 



■^-z + r"'" 



Similarly, the cross product of voltages in two segments, extending say 

 from to L and L to 2L, is 



ViV-2 = Ai / e " [i - c \[e — e \ dxo 



»/— CO 



+ i^l / /^'11 



Jo 



-U-.o)ltu^-L:r _ ^-.Lir. ^^, 



Tj^ ^ ri ~Ll(i2 



From the definition of the correlation coefficient 

 Pl2 = ViV2/{vl X vl) = 7^ 



/ (1 - e^'y 



Li 



which is the desired relation, from which the solid curves of Figs. 14-16 

 were calculated. 



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