However, additive white Gaussian noise (AWGN) is not sparse in this transformed domain, and the weight vector element amplitudes follow Rayleigh distribution while the AWGN is projected in the field.
With respect to [17], the proposed algorithm is novel in the following aspect: by leveraging compressive sensing principles, we are able to identify tamperings that are not sparse in the time domain only, but that can be represented by a sparse set of coefficients in some orthonormal basis or redundant dictionary.
We considered jiDE genes to be clustered if the jiDE ratio in a window was three times higher than the 3rd quartile value of jiDE ratios and highly expressed genes were not sparse in the window.
We can see that the signal is not sparse in frequency domain, and the accurate reconstruction cannot be implemented by the existing CS algorithms.
However, if the signal is not sparse in frequency domain as shown in simulation, the existing CS algorithms as OMP cannot reconstruct the received signal accurately.
Since the parity-check matrix of polar codes is not sparse in general [12], running BP decoding directly on it does not obtain good frame error rate (FER) performances.
Note that MR images are not sparse in any currently known domain, so it is more accurate to refer to them as compressible.
The matrix decomposition for ICA is ICA results in sparse ZICA, whereas ΛICA is not sparse as in our models.
Even if the original signal is not sparse, a basis can be found in which most coefficients are small, and the relatively few large coefficients capture most of the information and this allows for the use of sparse recovery in the problem of biohash inversion.
In general, the canonical projectors w x and w y found as solutions in Eq. (18) are not sparse, i.e., the entries of both w x and w y are non-zeros.
