Maestrello and Linden 



Oj/Up+Im {^\ 



.^M 



Fig. 10. Location of Poles and Branch Cuts 



As indicated previously, Zg and Zg are not on the physical 

 sheet for the range of frequencies considered (up to 14,000 Hz). 





dy 



u( m4t ' 'y) 



^*(mti- Wc'^'y) 



^""(im^iy) ^"(-MTT-iy) 



where T ((k/M+1) + iy) is the expression following Eq. (31), the 

 plus being included only to explicate that it is the positive side of the 

 square root branch cut. T~((k/M + 1) + iy) is obtained from T by 

 replacing p, by - |jl. 



= -\ dy-A 



^0 t( 



M - 1 Uc 



iy) 



M 



- 1 Uc 



iy) 



r(M^-v) 



.-* 



.M - 1 



iy> 



^3 = 



■£ 



dy 



Huh - 'y) 



T ( 



M - 1 u; 



- ly 



) 



M - 1 



- ly 



) T-t 



M - 1 



+ iy 



u = 



j; 



dy 



^( M^ "-W-'y) 



( 



M + 1 Uc 



iy) 



'^^*(trTT - iy) ^"*(irTT - 'y) 



It is felt, that the effect of the pole at Zj cancels the contribution of 

 I| and similarly the residue at Zjg cancels the contribution of I3. 



502 



