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Spezielle Anwendungen des VLSI – Entwurfs Applied VLSI design. FPGA design for a RGB YCbCr -transformation Results of Phase 2 Philip Grunert, Florian Ludwig. Results of Phase 1. Optimization of the multiplier. [1]. Average Error. Rounding Offset. 20. 3. 36. 2. 1. 21.
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Spezielle Anwendungen des VLSI – EntwurfsApplied VLSI design FPGA design for a RGB YCbCr-transformation Resultsof Phase 2 Philip Grunert, Florian Ludwig
Average Error • Rounding • Offset 20 3 36 2 1 21 0 7 0 14 15 13 4 12 11 5 10 9 6 8 37 43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 … … … +1 when 1 toggle
Optimization of summation Wallace Tree Wallace Tree Wallace Tree Carry Carry Sum Sum Carry Sum 4:2 Carry Sum 4:2 Carry Sum Ripple-Carry-Adder Result
Pipelining Booth Booth Booth Wallace-Trees Wallace-Trees Wallace-Trees 4:2 RCA RCA 4:2 3:2 3:2 RCA RCA RCA Round Round Round Offset Offset Y Cr Cb
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