Digital Signal Processing Reference
In-Depth Information
Figure 15.7
Illustration of (a) the digital regularization noise and (b) the maximal value of the
regularization errors versus the normalized reference sine-wave frequency (number of signal
sources) of the nearly worst case of sine-wave crossing sampling of a single-tone signal at a
frequency close to the Nyquist limit
The digital regularization noise is shown in Figure 15.7(a) and the maximal value
of the regularization errors versus the normalized reference sine-wave frequency
(number of signal sources) is given in Figure 15.7(b).
The regularization noise
(
t
k
) impacts on the processing of signals sampled on
the basis of the sine-wave crossing approach like any other additive noise present
in the signal. Figure 15.8 illustrates the impact of this noise on the estimation of a
Fourier coefficient. To realize conditions under which the impact of regularization
ε
