Optical binary phase-only filters for circular harmonic correlations.

In our previous paper we proposed using successively binary cosine and sine filters and combining the correlation intensities for rotation-invariant phase-only circular harmonic correlation. This paper presents an alternative method that uses a single filter. We present theory and optical and computer experimental results to show that, with a spatial frequency carrier, the binary phase-only filter [1, -1] and the binary filter [1, 0] yield the impulse response of a continuous phase-only filter. Compared with conventional computer-generated holographic filters, the binary phase-only filter and the binary filter have no representation-related error, require a minimum space-bandwidth product, and may be implemented in a spatial light modulator.

[1]  D M Cottrell,et al.  Fresnel lens-encoded binary phase-only filters for optical pattern recognition. , 1989, Optics letters.

[2]  H. Yau,et al.  Phase-only circular harmonic matched filtering. , 1989, Applied optics.

[3]  J. Horner,et al.  Phase-only matched filtering. , 1984, Applied optics.

[4]  J L Horner,et al.  Amplitude encoded phase-only filters. , 1989, Applied optics.

[5]  H H Arsenault,et al.  Recording holograms with diagonal coding on binary spatial light modulators for pattern recognition. , 1990, Applied optics.

[6]  Joseph L. Horner,et al.  Clutter Effects On Optical Correlators , 1990, Optics & Photonics.

[7]  Joseph L. Horner,et al.  Additional properties of the phase-only correlation filter , 1984 .

[8]  J L Horner,et al.  Pattern recognition with binary phase-only filters. , 1985, Applied optics.

[9]  J W Goodman,et al.  Optimal binary phase-only matched filters. , 1988, Applied optics.

[10]  H. Arsenault,et al.  Simple filter with limited rotation invariance. , 1986, Applied optics.

[11]  B. Kumar,et al.  Efficient algorithm for designing a ternary valued filter yielding maximum signal to noise ratio. , 1989, Applied optics.

[12]  B Javidi,et al.  Generalization of the linear matched filter concept to nonlinear matched filters. , 1990, Applied optics.

[13]  W. H. Lee,et al.  Binary synthetic holograms. , 1974, Applied optics.

[14]  Demetri Psaltis,et al.  Optical-Image Correlation With A Binary Spatial Light-Modulator , 1984 .

[15]  J P Allebach,et al.  Representation-related errors in binary digital holograms: a unified analysis. , 1981, Applied optics.

[16]  J. Horner,et al.  Fourier optical signal processors , 1989, Proc. IEEE.

[17]  Clark C. Guest,et al.  Choice of phase in binary phase-only filters for optical image recognition. , 1990, Applied optics.

[18]  H H Arsenault,et al.  Optical pattern recognition using circular harmonic expansion. , 1982, Applied optics.

[19]  H. Yau,et al.  Experimental demonstration of phase-only circular harmonic filtering using computer generated filters. , 1990, Applied optics.

[20]  J A Davis,et al.  Optical correlator performance of binary phase-only filters using Fourier and Hartley transforms. , 1987, Applied optics.

[21]  J Shamir,et al.  Circular harmonic phase filters for efficient rotationinvariant pattern recognition. , 1988, Applied optics.

[22]  A. Kozma,et al.  Spatial Filtering for Detection of Signals Submerged in Noise , 1965 .

[23]  H H Arsenault,et al.  Rotation invariant phase-only and binary phase-only correlation. , 1989, Applied optics.