Image Processing Reference
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Fig. 9. Standard deviation of the error in the recovered frequency  f as a function of noise
standard deviation  for an input signal that consists of two complex sinusoids with
amplitudes 1 and 0.01. The green, short dashed curve corresponds to the strong signal; the
red, long dashed, to the weak signal. Each curve is averaged over 20 realizations of the
noise.
Fig. 10. Standard deviation of the amplitude error  as a function of noise standard
deviation  for an input signal that consists of two complex sinusoids with amplitudes 1 and
0.01. The green, short dashed curve corresponds to the strong signal; red, long dashed, to
the weak signal. Each curve is averaged over 20 realizations of the noise.
5.3 Signal composed of 2 sinusoids with closely spaced frequencies in noise
We have also investigated the ability of our algorithm to separate two closely spaced
frequencies in the presence of noise. Fig. 11 shows  f and  a for the case with input
frequencies {0.3389, 0.3390}, unity amplitude and a 16x1024 mixing matrix. Note that
significant amplitude error occurs at  > 10 -4 compared to the single frequency results. The
frequencies are roughly correct but are not separated for  > 10 -2 .
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