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Color space transformation

This paper presents advancements in color space transformation methods, focusing on reducing error, minimizing size, and increasing processing speed. Key improvements include optimized multiplier designs and coefficient corrections that significantly enhance output signal accuracy. By employing array multipliers and shifting techniques, the signal processing efficiency is boosted, leading to a new operating frequency of 75.477 MHz and reduced resource usage to 1312 LUT FF pairs. These enhancements represent significant strides in digital processing for color transformation applications.

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Color space transformation

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  1. Color space transformation Phase 2 <Hani Samara ; Heiko Westphal> 24.11.2011 Institute MD, University of Rostock

  2. Origin (Old Design): • Frequency: 38.109 MHz • Area (LUT FF pairs): 3641

  3. Improvents to do • Decrease Error • Decrease Size • Increase Speed

  4. Improvents to do • Decrease Error  Round, coefficient correction • Decrease Size • Increase Speed

  5. Improvents to do • Decrease Error  Round, coefficient correction • Decrease Size • Increase Speed Optimize Multiplier

  6. Error Decresing • Previous: Output signal just been cut off to match output witdthExample:…0101100|110010…  …0101100110010…  Error 0,78125 • Solution: Check first cut-off bit, if it is ‘1’ add ‘1’ to output signal…0101100|110010…  …0101101110010…  Error 0,21875 • coefficient correction: coefficient cb(2) and cr (0) which are both b"001111_11111111_11111111" should be actually b"000000_00000000_00000000“ •  New average error: 0.249936

  7. A better multiplier • Using of an array multiplier • Add partial products with single FAs insteads full width adders  shorter critical path

  8. Further Improvements • Due to coefficient correction: Save of a multiplier in CB and CR: • multiplication with 2^x means shifting • Adding two pipeline steps

  9. Example: Cb-Computation • 2 Multipliers • 3 Adders • 2 Two’s Complements Rst REG 1 Mult1 NOT Coeff_0 Pixel_in_r REG 2 add1 Round Mult2 Coeff_1 NOT add3 Cb-Component Pixel_in_g Shift add2 Pixel_in_b Offset increased by 2 • CLK

  10. Result of improvements/New Metric • Frequency: 75.477 MHz • Area (LUT FF pairs): 1312

  11. Thank you for your attention!

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