Space-blur bandwidth product in correlator performance evaluation

The effects of space-invariant blurring in the frequency plane of a coherent optical correlator on the system’s performance are considered. The correlator performance criteria used include loss in output correlation peak amplitude, output signal-to-noise ratio, and variation in the probability of a false alarm for a fixed probability of detection. A statistical approach is used to derive general expressions for the mean m and variance var of the output correlation. Expressions for the three correlator performance criteria are then obtained in terms of m and var. When these results are applied to several specific cases, we find that the performance of a correlator can be described and controlled by a new parameter, the space-blur bandwidth product.

[1]  H. Mostafavi.  Optimal window functions for image correlation in the presence of geometric distortion , 1979 .

[2]  A. W. Lohmann,et al.  Variable Fresnel Zone pattern. , 1967, Applied optics.

[3]  A. Lugt.  The effects of small displacements of spatial filters. , 1967, Applied optics.

[4]  Edward L. O'Neill,et al.  Spatial filtering in optics , 1956, IRE Trans. Inf. Theory.

[5]  M. J. Lahart,et al.  Optical Area Correlation with Magnification and Rotation , 1970 .

[6]  D Casasent,et al.  Effects of wavefront propagation error in an optical correlator. , 1979, Applied optics.

[7]  K. Singh,et al.  Influence of longitudinal vibrations on the diffraction images of bright incoherent disks. , 1975, Applied optics.

[8]  D. Casasent,et al.  Spatial light modulators , 1977, Proceedings of the IEEE.

[9]  A. B. Vander Lugt,et al.  Signal detection by complex spatial filtering , 1964, IEEE Trans. Inf. Theory.

[10]  D. Casasent,et al.  Coherent optical pattern recognition , 1979, Proceedings of the IEEE.

[11]  D Casasent,et al.  Sources of correlation degradation. , 1977, Applied optics.

[12]  Periodic nonsinusoidal vibration: effects in matched filtering for detection of signals buried in noise of uniform spectral density. , 1975, Applied optics.

[13]  Haddan Mostafavier,et al.  Image Correlation with Geometric Distortion Part 1: Acquisition Performance , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[14]  Hassan Mostafavi,et al.  Image Correlation with Geometric Distortion Part II: Effect on Local Accuracy , 1978, IEEE Transactions on Aerospace and Electronic Systems.