# Highly Nonlinear Approximations for Sparse Signal Representation

### Example 2

Assume that the signal to be analyzed here is the superposition of two signals, , each component being produced by a different phenomenon we want to discriminate. Let us assume further that and with and disjoint subspaces. Thus, we can obtain, say, from , by an oblique projector onto and along . The projector will map to zero the component to produce