ABSTRACT
The use of Fourier transform in systems analysis involves the decomposition of the excitation function into a function over an infinite band of frequencies. The Laplace transform is well adapted to linear time domain systems analysis. Another feature of the Laplace transform is that it automatically provides for initial conditions in the systems. The situation changes considerably in those cases when the system consists of a number of subsystems that are interconnected to form the completed system. For cascaded systems, it is possible, by selecting the appropriate transfer functions, to cancel zeros or poles, thus producing stabilization. During transmissions, the information-carrying signal is distorted by the transfer function of the space it traveled, known as channel. One of the important tasks of engineers is to build noise cancellers that suppress or remove unwanted signals.
