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

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 MHz Operation time t OP 6.7 * s Average error Metric Pair² s

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

Institute of Applied Microelectronics and Computer Engineering College of Computer Science and Electrical Engineering, University of Rostock Average Error Rounding Offset Slide 4 … … … toggle +1 when 1

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

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

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 MHz Operation time t OP 1.7*10 -4 s Average error Metric Pair² s

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

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