Highly Nonlinear Approximations for Sparse Signal Representation

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Next: Example 5 Up: Signal Representation, Reconstruction, and Previous: Possible constructions of oblique


The need of nonlinear approaches

Even when the subspaces $ {\cal{V}}$ and $ {\cal{W}^\bot}$ are `theoretically' complementary, in practice, due to the calculations being performed in finite precision arithmetics, the inaccuracy in the computation of the corresponding projector may cause the failure to correctly separate signals in $ {\cal{V}}$ and $ {\cal{W}^\bot}$. The next example illustrates the situation.
Subsections