Fourier Analysis in the Analysis of Systems
Let us pause in our development of the theory of Fourier transforms to see how these transforms might be useful in applications. Rather than closely examine any particular application, however, we will discuss the analysis appropriate for a large class of problems in which the goal is to predict the outputs of various physical or mathematical devices based on the expected inputs. Consequently, our discussion will remain somewhat general.
27.1 Linear, Shift-Invariant Systems
Systems, Linearity and Shift Invariance
Many physical systems (such as telescopes and radios) convert some type of input into some sort of output (for example, an optical telescope will convert a given optical image into ...
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