### CAS Seminar

## "Phase retrieval in k-dimensional linear subspaces"

** Date: ** |
Tue, November 20, 2012 |

** Time: ** |
11:15 |

** Place: ** |
Research I Seminar Room |

**Abstract:** A common problem arising in many optical measurements is signal reconstruction
from the absolute value of Fourier coefficients. In the discrete setting this
means to reconstruct a signal from the magnitudes of one-dimensional
projections. We consider a more general problem and aim to reconstruct a
signal from the norms of higher dimensional subspace components. First, we
derive a closed formula for reconstruction. Second, we use random subspaces
and semidefinite programming to reduce the number of subspace components.