**4.3 Signal composed of 2 sinusoids with large dynamic range**

For signals composed of 2 well separated frequencies but widely different amplitudes in the absence of noise, we recover the amplitude and frequency of the 2 sinusoids when *a*1 = 1 and *a*2 is as small as 10-14 with an 8x1024 mixing matrix. For this case the amplitude and frequency of the large signal are recovered to machine precision while the frequency and amplitude error of the weak signal are 3x10-4 and 1%, respectively. Naturally, such performance is not found in the presence of noise as discussed below.
