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New family of binary arrays for coded aperture imaging
Applied Optics
|June 18, 2010
Summary
A new family of modified uniformly redundant arrays (MURAs) offers coded aperture imaging with excellent sensitivity. These novel binary arrays provide more pattern choices and enable optimal coded apertures for all prime numbers.
Area of Science:
- Image reconstruction
- Coded aperture imaging
- Array signal processing
Background:
- Uniformly redundant arrays (URAs) are established for coded aperture imaging.
- Existing binary arrays have limitations in pattern selection and constructability.
- The need for improved aperture design flexibility and performance is recognized.
Purpose of the Study:
- Introduce a new family of binary arrays, modified URAs (MURAs).
- Evaluate MURAs for coded aperture imaging applications.
- Compare MURA performance and properties against existing array types.
Main Methods:
- Developed MURAs based on quadratic residues.
- Analyzed decoding coefficients for unimodularity.
- Assessed noise independence and constructability in various configurations.
Main Results:
- MURAs exhibit sensitivity and SNR comparable to URAs.
- Unimodular decoding coefficients ensure noise terms are independent of image-source structure.
- MURAs are constructible in configurations not possible with cyclic difference sets or pseudonoise sequences.
Conclusions:
- MURAs expand the selection of binary arrays for coded aperture imaging.
- All prime numbers can now be utilized for optimal coded aperture design.
- The number of available square aperture patterns is increased by over 300%.
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