Algorithm for designing phase-only filters with maximally sharp correlation peaks

Bhagavatula Vijaya Kumar; Charles D. Hendrix; W. Shi

doi:10.1117/12.21257

1 September 1990 Algorithm for designing phase-only filters with maximally sharp correlation peaks

Bhagavatula Vijaya Kumar, Charles D. Hendrix, W. Shi

Proceedings Volume 1296, Advances in Optical Information Processing IV; (1990) https://doi.org/10.1117/12.21257
Event: 1990 Technical Symposium on Optics, Electro-Optics, and Sensors, 1990, Orlando, FL, United States

Abstract

Phase-Only filtering1 has received much attention recently because of its 100% light throughput efficiency and the resulting sharp correlation peaks. However, due to its wide bandwidth, conventional POF is very sensitive to noise in the input image. We have previously proposed that by turning off (i.e., by setting the magnitude to zero) some frequencies, we can improve the output Signal-to-Noise Ratio (SNR). We termed such filter' as Optimal POFs (OPOFs). In this paper, we present an algorithm for designing a support function (which indicates the frequencies of the Phase-Only filters with unit magnitude) to get the sharpest possible output correlation peaks. The rest of this paper is organized as follows. Next section introduces the performance measure used to characterize the sharpness of the correlation peak. An algorithm is developed in section 3 to maximize this figure of merit. Section 4 describes some of the computer experiments that illustrate these ideas and the final section provides our conclusions.

Citation Download Citation

Bhagavatula Vijaya Kumar, Charles D. Hendrix, and W. Shi "Algorithm for designing phase-only filters with maximally sharp correlation peaks", Proc. SPIE 1296, Advances in Optical Information Processing IV, (1 September 1990); https://doi.org/10.1117/12.21257

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