Dirac delta comb Fourier transform

In the Fourier domain, the spectra are convolved with the Dirac delta comb (Eq. 2.13), which means the spectrum will be infinitely repeated. To avoid aliasing, if the spectrum covers a bandwidth from 0 to v ax, the transformed Dirac delta comb must have a period of at least Iv ax, this is... 

Figure 3.4. (a) Dirac delta comb (or Shah fimction) of period l/rr (b) its Fourier transform, another Dirac comb of period x. 

Figure 4.13 Dirac delta comb and its Fourier transform, (a) LU (x) and (b) (1 /a)lU (v) (arbitrary height).

The Dirac delta comb and its Fourier transform are referred to in Section 4.4.2. An infinite train of the Dirac delta functions at intervals of a on the x axis is called the Dirac delta comb and denoted by dJ (x). This function is defined as... 

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