1. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 1 Spezielle Anwendungen des VLSI – Entwurfs Applied VLSI design FPGA design for a RGB  YCbCr-transformation Results of Phase 2 Philip Grunert, Florian Ludwig

2. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 2 Results of Phase 1 Area A pairs (LUT pairs)3235 Frequency f max 61.675 MHz Operation time t OP 6.7 * 10 -4 s Average error0.5192415 Metric982.775034 Pair² s

3. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 3 Optimization of the multiplier [1]

4. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Average Error Rounding Offset Slide 4 …0 43 0 37 0 36 … 0 21 0 20 … 0 0 0 15 0 13 0 12 0 11 0 10 0 9 0 8 0 14 0 7 0 6 0 5 0 4 0 3 0 2 0 1 0 0 toggle +1 when 1

5. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Optimization of summation Slide 5 Wallace Tree 4:2 Wallace Tree Wallace Tree Ripple-Carry-Adder Carry Sum Result SumCarry Sum

6. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 6 Pipelining Booth Wallace-Trees 4:2 Wallace-Trees RCA 4:23:2 RCA Round Offset YCrCb

7. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 7 Metric Area A pairs (LUT pairs)2807 Frequency f max 248.324 MHz Operation time t OP 1.7*10 -4 s Average error0.2499474 Metric20.500809 Pair² s

8. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 8 Thank you for your attention!

9. Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Slide 9 References [1]Kim, Soojin and Cho, Kyeongsoon: “Design of High- speed Modified Booth Multipliers Operating at GHz Ranges”, World Academy of Science, Engineering and Technology61, 2010