Optimal phase-only filters
Abstract
Phase-only Filters (POFs) and Binary Phase-only Filters (BPOFs) were studied. It is proved that the conventional POF introduced originally by Horner and Gianino is indeed the best among all POFs from the viewpoint of maximizing the Signal-to-Noise Ratio (SNR). The importance is illustrated of selecting the optimal support function for the POF and show with the help of example images that output SNR can be improved considerably (by about 5 dB) by using optimal POFs (OPOFs). An efficient algorithm is described for designing OPOFs. Because of their suitability for binary Spatial Light Modulators (SLMs) such as the Magneto Optic SLM (MOSLM), binary POFs (BPOFs) are of much interest. The optimal BPOF (OBPOF) is introduced and efficient algorithms are presented for designing OBPOFs. Several simulation results based on the use of 32 X 32 images are included to verify the performance of OBPOFs.
- Publication:
-
Final Report
- Pub Date:
- April 1990
- Bibcode:
- 1990cmu..rept.....K
- Keywords:
-
- Algorithms;
- Matched Filters;
- Optical Filters;
- Phase Modulation;
- Signal To Noise Ratios;
- Bandpass Filters;
- Efficiency;
- Optical Correlators;
- Optimization;
- Simulation;
- Electronics and Electrical Engineering