Control system analysis via fast Fourier transform

The Fast Fourier Transform has demonstrated its power in the fields of communication, optics etc. It has never been applied to control system analysis. This thesis presents the fundamentals of the Fast Fourier Transform first; then develops several related theorems for Laplace transforms. It is believed that this is the first time to use the Fast Fourier Transform to perform the inverse Laplace transform of irrational transfer functions and transcendental transfer functions. Sixteen computer programs are included.