An analytical method of determining pole locations of certain types of feedback amplifiers

The pole locations of feedback amplifiers of an arbitrarily large number of stages, but with only one or two characteristic time constants, can be solved analytically. The resulting expression is then general for all of one class of amplifiers. A solution of the case of n stages of one time constant and m stages of another with n/m ¿ 1 is presented. The case with m = 1 and with ideal matched transmission lines in the loop is also solved. Other cases presented are for m = 0 and m = n. The analysis is shown to be good for high- or low-frequency investigations where the system bandwidth is broad enough to prevent high- and low-frequency response interference.