ABSTRACT
In earlier chapters, we computed Fourier transforms of periodic functions (obtaining regular arrays
of delta functions) and Fourier transforms of regular arrays (obtaining periodic functions). You may
have even computed a Fourier transform or Fourier series for one or two regular arrays that were
also periodic (such as a comb function). In this chapter we will look more closely at the computation
of transforms of those delta function arrays that are both periodic and regular. In the process, we
will obtain results and formulas that will be particularly useful in developing the “discrete theory”
of Fourier analysis in the next chapter.