Algorithms For Designing Phase-Only Synthetic Discriminant Functions

Use of the Magneto-Optic Spatial Light Modulator (MOSLM) in the filter plane of optical correlators is attractive because it is capable of high frame rates. This has led to the design of several different types of Binary Phase-Only Filters (BPOFs) and Ternary Filters matched to a single reference. To further increase the throughput of an optical correlator employing the MOSLM, attempts at designing Binary Phase-Only Composite Filters have been made. In this paper, we introduce a new iterative technique to design such Composite Filters in which we simultaneously maximize the peak sharpness and minimize the deviation of the actual correlation peak intensities from their desired values.

Section: Development Of Bpocfsmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

<title>Iterative algorithm for designing binary phase-only composite filters</title>

Hendrix

Kumar

1993

“…These constraints limit the discussion to only two basic approaches, the Jared-and-Ennis technique [17] and the successive forcing algorithm (SFA) [18]. Both are methods that iteratively adjust the weights of a composite reference image.…”

Section: Bpof and Tpap Distortion Invariancementioning

confidence: 99%

<title>Improving binary phase-only filter distortion invariance by direct phase iterations</title>

Flannery

1993

Investigations of an algorithm using direct iteration of binary phase states to approach the goal of correlation response uniformity across an arbitrary training set are reported. The approach is applied to a real-world filter design case involving 180 training set images and is compared to other methods (e.g., the Jared-and-Ennis approach) in terms of both effectiveness and computational demands. Concepts to improve and extend the approach and to integrate it with other BPOF (TPAF) optimization techniques that adjust the region of support are suggested.

“…This leads to the following updating method for the coefficients a1, a2 ak,. a = a+ c-c1 , i=1,2, ,N (9) where the superscripts on aL and m1 refer to the iteration index in filter design and f3 is a user-selected damping parameter. The is given by m' = $fs(uv)…”

Section: Relaxation Algorithmmentioning

confidence: 99%

“…These include: using the phase from a conventional SDF [6,7], the Relaxation Algorithm (RA) [8], the Successive Forcing Algorithm (SFA) [9] and the Transform Ratio Ternary Phase Amplitude Filter (TR-TPAF) [1 0]. However, some available devices such as the DMD cannot be characterized as phase-only or binary phase-only.…”

Section: Introductionmentioning

confidence: 99%

<title>Synthetic discriminant functions for implementation on arbitrarily constrained devices</title>

Carlson

Kumar

1993