US4067645A
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Minimum mean-square error linear optical filter
Assignee: University of Washington
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Filing: 1975-12-29
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Granted: 1978-01-10
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Expires: 1995-12-29
Abstract
Abstract A method of forming a minimum mean-square error linear filter photographically is disclosed. The optimum filter may be obtained photographically. In one form, a first photographic negative of a monolayer of cells having a high percentage of cells of the given type is made at the focal plane of a transforming lens mounted so as to collect the light scattered by the monolayer; and, developed for a gamma of unity. Thereafter, a second photographic negative is made at the same focal plane of a monolayer of cells containing a normal percentage of cells of the given type using the first negative as a filter. The second negative is developed for a gamma of two. The resulting photographic plate is a realization of the desired optimum (minimum mean-square error linear) filter. Alternatively, a sandwich of two photographic plates, one positive and obtained from a monolayer of cells having a high percentage of cells of the given type and the other negative obtained from a monolayer of cells having a normal percentage of cells of the given type, is constructed to provide a physical realization of the desired optimum filter.
Inventors
- 👤 F. Paul Carlson
- 👤 Joseph E. Ward, III
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-23 00:32
CPC Classifications
G; G01; G01N; G01N15/00; G01N15/10; G01N15/14; G01N15/1434; G01N15/1429; G01N15/1433; G01N15/1456; G01N15/1459; G02; G02B; G02B27/00; G02B27/42; G02B27/46; G06; G06V; G06V10/00; G06V10/88; G06V10/89; G06V10/893; G01N2015/1486; Y; Y10; Y10S; Y10S359/00; Y10S359/90
Claims Analysis
Total Claims: 10
Claim 1
Independent Claim
212 words
A method of forming a minimum mean-square error linear optical filter having the following mathematical amplitude frequency response: ##EQU8##where: S ss (ω) is the power spectral density of the signal to be enhanced by the minimum mean-square linear optical filter; and, S nn (ω) is the power spectral density of the signal to be suppressed by the minimum mean-square linear optical filter, said method comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens using said first photographic negative as a filter; and, developing said second photographic negative for a gamma of two.
Claim 2
Independent Claim
212 words
A method of forming a minimum mean-square error linear optical filter having the following mathematical amplitude frequency response: ##EQU8##where: S ss (ω) is the power spectral density of the signal to be enhanced by the minimum mean-square linear optical filter; and, S nn (ω) is the power spectral density of the signal to be suppressed by the minimum mean-square linear optical filter, said method comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens using said first photographic negative as a filter; and, developing said second photographic negative for a gamma of two.
Claim 3
Dependent Claim
17 words
A minimum mean-square error linear optical filter formed in accordance with the process recited in claim 1.
Claim 4
Independent Claim
225 words
A method of forming a minimum mean-square error linear optical filter having the following mathematical amplitude frequency response; ##EQU9##where: S ss (ω) is the power spectral density of the signal to be enhanced by the minimum mean-square error linear optical filter; and, S nn (ω) is the power spectral density of the signal to be suppressed by the minimum mean-square error linear optical filter, said method comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; obtaining a photographic positive from said first photographic negative; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens; developing said second photographic negative for a gamma of two; and, sandwiching said photographic positive and said second photographic negative together.
Claim 5
Independent Claim
225 words
A method of forming a minimum mean-square error linear optical filter having the following mathematical amplitude frequency response; ##EQU9##where: S ss (ω) is the power spectral density of the signal to be enhanced by the minimum mean-square error linear optical filter; and, S nn (ω) is the power spectral density of the signal to be suppressed by the minimum mean-square error linear optical filter, said method comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; obtaining a photographic positive from said first photographic negative; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens; developing said second photographic negative for a gamma of two; and, sandwiching said photographic positive and said second photographic negative together.
Claim 6
Dependent Claim
17 words
A minimum mean-square error linear optical filter formed in accordance with the process recited in claim 3.
Claim 7
Dependent Claim
208 words
A minimum mean-square error linear optical filter having the amplitude frequency transfer function: ##EQU10##where: S ss (ω) is the power spectral density of a desired optical signal; and, S nn (ω) is the power spectral density of the remainder of the optical signal, said minimum mean-square linear optical filter formed in a photographic plate prepared in accordance with a process comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens using said first photographic negative as a filter; and, developing said second photographic negative for a gamma of two.
Claim 8
Dependent Claim
208 words
A minimum mean-square error linear optical filter having the amplitude frequency transfer function: ##EQU10##where: S ss (ω) is the power spectral density of a desired optical signal; and, S nn (ω) is the power spectral density of the remainder of the optical signal, said minimum mean-square linear optical filter formed in a photographic plate prepared in accordance with a process comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; making a first photographic negative of the scattered light collected by said transforming lens at the focal plane of said transforming lens; developing said first photographic negative for a gamma of one; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω) + S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens using said first photographic negative as a filter; and, developing said second photographic negative for a gamma of two.
Claim 9
Dependent Claim
226 words
A minimum mean-square error linear optical filter having the amplitude frequency transfer function: ##EQU11##where: S ss (ω) is the power spectral density of a desired optical signal; and, S nn (ω) is the power spectral density of the remainder of the optical signal, said minimum mean-square linear optical filter contained in a photographic plate formed of a sandwich of a photographic positive having the transfer function S ss (ω) and a photographic negative having the transfer function S ss (ω) + S nn (ω) prepared in accordance with a process comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; developing said first photographic negative for a gamma of one; obtaining a photographic positive from said first photographic negative; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω)+ S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens; developing said second photographic negative for a gamma of two; and, sandwiching said photographic positive and said second photographic negative together.
Claim 10
Dependent Claim
226 words
A minimum mean-square error linear optical filter having the amplitude frequency transfer function: ##EQU11##where: S ss (ω) is the power spectral density of a desired optical signal; and, S nn (ω) is the power spectral density of the remainder of the optical signal, said minimum mean-square linear optical filter contained in a photographic plate formed of a sandwich of a photographic positive having the transfer function S ss (ω) and a photographic negative having the transfer function S ss (ω) + S nn (ω) prepared in accordance with a process comprising the steps of: directing a beam of coherent monochromatic light toward a monolayer of particles having a high percentage of particles having the power spectral density S ss (ω); collecting the light scattered by said particles with a transforming lens; developing said first photographic negative for a gamma of one; obtaining a photographic positive from said first photographic negative; directing a beam of coherent monochromatic light toward a monolayer of particles having the power spectral density S ss (ω)+ S nn (ω); collecting the light scattered by said monolayer with a transforming lens; making a second photographic negative of the light collected by said transforming lens at the focal plane of said transforming lens; developing said second photographic negative for a gamma of two; and, sandwiching said photographic positive and said second photographic negative together.
References Cited (Backward Citations)
US3501221A
Cited
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| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
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| 3.5 Years (Year 4) | 1981-01-09 | 1981-07-11 | 1982-01-10 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1985-01-09 | 1985-07-11 | 1986-01-10 | $3760.00 | Window Closed / Lapsed |
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