The magnitude of
is 0.313 in Figure 11.27(a) and
is 0.281 in Figure 11.27(f). This value approaches
in Figure 11.23 as the number of data sampled increases.
Note : Different types of definition of DFT and IDFT are used, depending upon personal preference. Some use the following definitions, in which the magnitudes of
coincide with that of Fourier transform in Figure 11.24.
( n = 0, 1, 2, … N -1) (11.32)
and
( k = 0, 1, 2, … N -1) (11.33)