Proof of concept, Resolution, Future Advances in resolution, Speed, Calibration
Future Advancements
The power behind differentiations of colors is based upon probability theory. When we throw a dice, the probability of getting any number (1 to 6) is 1/6. For three dices, the probability is 1/6^3 = 1/216. The same methodology applies for greater resolutions in which the number of dices is represented by number of channels (or primes) and the number of dots on a face of the dice is represented by number of bits of the A/D converter. Thus the number of shades of color of a single pixel (resolutions in visible light) is given by:
[1/256^3] ^2 = 1/256^6 = 1/281,474,976,710,656. = 2.81* 10^14.
With four primes and 9 bits of the A/D converter, the odds are 1/ 512 ^4 = 1/ 68,719,476,736. This is 4,096 times more power of resolution. For four primes and 12 bits of the A/D converter, the resolution is 1/281,474,976,710,656 or 16,777,216 times more power of resolution compared to the three primes and 8 bit A/D converter. For two or more pixels the resolution increases exponentially to much greater odds (equation 2).
Note: The above detection Figures of a star by the simulator, is based on 3 primes and 8 bit per prime.
The Achievable four primes and 12 bit per prime provides brightness resolutions of magnitudes of 10^14 better than 10^10 desired by NASA. This technology provides 10^4 or 10,000 time better differentiations in brightness. To separate planets from stars, the combinations of visible light and IR should provide the masking (filter) that is required to detect an Earth like planet surrounded by water. The IR signature of H2O is quite distinct. For a four channel of IR and 12 bits per A/D converter, the equation for resolutions is:
This provides resolutions of 1/281,474,976,710,656 * 281,474,976,710,656 = 1/ 2.8 * 10^28.
For two or more pixels the resolution increases exponentially to much greater odds given by.
This technology is posed to resolve the masking and starlight suppression problems economically in shorter time.
The power behind differentiations of colors is based upon probability theory. When we throw a dice, the probability of getting any number (1 to 6) is 1/6. For three dices, the probability is 1/6^3 = 1/216. The same methodology applies for greater resolutions in which the number of dices is represented by number of channels (or primes) and the number of dots on a face of the dice is represented by number of bits of the A/D converter. Thus the number of shades of color of a single pixel (resolutions in visible light) is given by:
- Probability of Detection of shade of color o a pixel = 1/d^p. Equation 1
- Probability of identification with ‘n’ number of pixels = [1/d^p]^n. Equation 2
[1/256^3] ^2 = 1/256^6 = 1/281,474,976,710,656. = 2.81* 10^14.
With four primes and 9 bits of the A/D converter, the odds are 1/ 512 ^4 = 1/ 68,719,476,736. This is 4,096 times more power of resolution. For four primes and 12 bits of the A/D converter, the resolution is 1/281,474,976,710,656 or 16,777,216 times more power of resolution compared to the three primes and 8 bit A/D converter. For two or more pixels the resolution increases exponentially to much greater odds (equation 2).
Note: The above detection Figures of a star by the simulator, is based on 3 primes and 8 bit per prime.
The Achievable four primes and 12 bit per prime provides brightness resolutions of magnitudes of 10^14 better than 10^10 desired by NASA. This technology provides 10^4 or 10,000 time better differentiations in brightness. To separate planets from stars, the combinations of visible light and IR should provide the masking (filter) that is required to detect an Earth like planet surrounded by water. The IR signature of H2O is quite distinct. For a four channel of IR and 12 bits per A/D converter, the equation for resolutions is:
- Probability of Detection = (1/d^p). (1/d^c). Equation 3
This provides resolutions of 1/281,474,976,710,656 * 281,474,976,710,656 = 1/ 2.8 * 10^28.
For two or more pixels the resolution increases exponentially to much greater odds given by.
- Probability of Detection = [1/d^p). (1/d^c)]^n. Equation 4
This technology is posed to resolve the masking and starlight suppression problems economically in shorter time.