VLSI Wiki
Contents:
  1. Cell Sizing
    1. 1. Definition: What is Cell Sizing?
    2. 2. Components and Operating Principles
      1. 2.1 (Optional) Subsections
    3. 3. Related Technologies and Comparison
    4. 4. References
    5. 5. One-line Summary

Cell Sizing

1. Definition: What is Cell Sizing?

Cell Sizing๋Š” ๋””์ง€ํ„ธ ํšŒ๋กœ ์„ค๊ณ„์—์„œ ๋งค์šฐ ์ค‘์š”ํ•œ ๊ณผ์ •์œผ๋กœ, ํšŒ๋กœ์˜ ์„ฑ๋Šฅ๊ณผ ์ „๋ ฅ ์†Œ๋น„๋ฅผ ์ตœ์ ํ™”ํ•˜๊ธฐ ์œ„ํ•ด ๊ฐ ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜๋Š” ์ž‘์—…์„ ์˜๋ฏธํ•ฉ๋‹ˆ๋‹ค. ์ด ๊ณผ์ •์€ VLSI ์„ค๊ณ„์—์„œ ํ•„์ˆ˜์ ์ด๋ฉฐ, ๋‹ค์–‘ํ•œ ๊ธฐ์ˆ ์  ์š”์†Œ์™€ ์ƒํ˜ธ์ž‘์šฉ์„ ํ†ตํ•ด ์ด๋ฃจ์–ด์ง‘๋‹ˆ๋‹ค. Cell Sizing์€ ์ฃผ๋กœ ํšŒ๋กœ์˜ ์ „์†ก ์ง€์—ฐ, ์ „๋ ฅ ์†Œ๋น„, ๊ทธ๋ฆฌ๊ณ  ๋ฉด์  ์ตœ์ ํ™”์™€ ๊ด€๋ จ์ด ์žˆ์Šต๋‹ˆ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด ๋””์ง€ํ„ธ ํšŒ๋กœ์˜ ์ „์ฒด ์„ฑ๋Šฅ์„ ๊ทน๋Œ€ํ™”ํ•˜๊ณ , ํŠน์ • ์• ํ”Œ๋ฆฌ์ผ€์ด์…˜์˜ ์š”๊ตฌ ์‚ฌํ•ญ์„ ์ถฉ์กฑ์‹œํ‚ค๋Š” ๋ฐ ๊ธฐ์—ฌํ•ฉ๋‹ˆ๋‹ค.

Cell Sizing์„ ์ˆ˜ํ–‰ํ•˜๋Š” ์ด์œ ๋Š” ์—ฌ๋Ÿฌ ๊ฐ€์ง€๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. ์ฒซ์งธ, ํšŒ๋กœ์˜ ์„ฑ๋Šฅ์„ ์ตœ์ ํ™”ํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ๊ฐ ์…€์˜ ํฌ๊ธฐ๋ฅผ ์ ์ ˆํžˆ ์„ค์ •ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ํšŒ๋กœ์˜ Timing์„ ๊ฐœ์„ ํ•˜๊ณ , ์‹ ํ˜ธ ์ „ํŒŒ ์ง€์—ฐ์„ ์ตœ์†Œํ™”ํ•˜๋Š” ๋ฐ ํ•„์ˆ˜์ ์ž…๋‹ˆ๋‹ค. ๋‘˜์งธ, ์ „๋ ฅ ์†Œ๋น„๋ฅผ ์ค„์ด๊ธฐ ์œ„ํ•ด์„œ๋Š” ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜์—ฌ Leakage ์ „๋ฅ˜๋ฅผ ๊ฐ์†Œ์‹œํ‚ฌ ํ•„์š”๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. ์…‹์งธ, ๋ฉด์ ์„ ์ตœ์ ํ™”ํ•จ์œผ๋กœ์จ ์นฉ์˜ ์ œ์กฐ ๋น„์šฉ์„ ์ ˆ๊ฐํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ์ด์œ ๋กœ Cell Sizing์€ VLSI ์„ค๊ณ„์˜ ์ดˆ๊ธฐ ๋‹จ๊ณ„์—์„œ๋ถ€ํ„ฐ ๊ณ ๋ ค๋˜์–ด์•ผ ํ•˜๋ฉฐ, ์ ์ ˆํ•œ ๋„๊ตฌ์™€ ๊ธฐ๋ฒ•์„ ์‚ฌ์šฉํ•˜์—ฌ ์ˆ˜ํ–‰๋˜์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค.

Cell Sizing์˜ ๊ธฐ์ˆ ์  ํŠน์ง•์—๋Š” ๋‹ค์–‘ํ•œ ์ตœ์ ํ™” ๊ธฐ๋ฒ•์ด ํฌํ•จ๋ฉ๋‹ˆ๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜๋ฉด์„œ๋„ ํšŒ๋กœ์˜ ์„ฑ๋Šฅ์„ ์ €ํ•˜์‹œํ‚ค์ง€ ์•Š๋„๋ก ํ•˜๊ธฐ ์œ„ํ•ด, ๋‹ค์–‘ํ•œ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๊ธฐ๋ฒ•์ด ์‚ฌ์šฉ๋ฉ๋‹ˆ๋‹ค. Dynamic Simulation์„ ํ†ตํ•ด ํšŒ๋กœ์˜ ๋™์ž‘์„ ๋ถ„์„ํ•˜๊ณ , Timing ๋ถ„์„์„ ํ†ตํ•ด ๊ฐ ์…€์˜ ํฌ๊ธฐ๊ฐ€ ํšŒ๋กœ ์ „์ฒด์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ํ‰๊ฐ€ํ•ฉ๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ๊ณผ์ •์€ ํšŒ๋กœ ์„ค๊ณ„์ž๊ฐ€ ์ตœ์ ์˜ ์…€ ํฌ๊ธฐ๋ฅผ ์„ ํƒํ•˜๋Š” ๋ฐ ๋„์›€์„ ์ค๋‹ˆ๋‹ค.

2. Components and Operating Principles

Cell Sizing์˜ ์ฃผ์š” ๊ตฌ์„ฑ ์š”์†Œ์™€ ์šด์˜ ์›๋ฆฌ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค. Cell Sizing ๊ณผ์ •์€ ์—ฌ๋Ÿฌ ๋‹จ๊ณ„๋กœ ๋‚˜๋‰˜๋ฉฐ, ๊ฐ ๋‹จ๊ณ„์—์„œ ๋‹ค์–‘ํ•œ ๊ธฐ์ˆ ์  ์š”์†Œ๊ฐ€ ์ƒํ˜ธ์ž‘์šฉํ•ฉ๋‹ˆ๋‹ค. ์ฒซ ๋ฒˆ์งธ ๋‹จ๊ณ„๋Š” ํšŒ๋กœ์˜ ์š”๊ตฌ ์‚ฌํ•ญ์„ ๋ถ„์„ํ•˜๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ด ๋‹จ๊ณ„์—์„œ๋Š” ํšŒ๋กœ์˜ ๊ธฐ๋Šฅ, ์„ฑ๋Šฅ ๋ชฉํ‘œ, ์ „๋ ฅ ์†Œ๋น„ ์š”๊ตฌ ์‚ฌํ•ญ ๋“ฑ์„ ๊ณ ๋ คํ•˜์—ฌ ์ตœ์ ์˜ ์…€ ํฌ๊ธฐ๋ฅผ ๊ฒฐ์ •ํ•˜๊ธฐ ์œ„ํ•œ ๊ธฐ์ดˆ ์ •๋ณด๋ฅผ ์ˆ˜์ง‘ํ•ฉ๋‹ˆ๋‹ค.

๋‘ ๋ฒˆ์งธ ๋‹จ๊ณ„๋Š” Circuit์˜ ๊ตฌ์กฐ๋ฅผ ๋ถ„์„ํ•˜๋Š” ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ด ๋‹จ๊ณ„์—์„œ๋Š” ํšŒ๋กœ์˜ ๊ฐ ๊ตฌ์„ฑ ์š”์†Œ๊ฐ€ ์–ด๋–ป๊ฒŒ ์—ฐ๊ฒฐ๋˜์–ด ์žˆ๋Š”์ง€๋ฅผ ํŒŒ์•…ํ•˜๊ณ , ๊ฐ ์…€์˜ ํฌ๊ธฐ๊ฐ€ ํšŒ๋กœ์˜ Timing์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค. ์ด ๊ณผ์ •์—์„œ Path ๋ถ„์„์ด ์ด๋ฃจ์–ด์ง€๋ฉฐ, Critical Path๋ฅผ ์‹๋ณ„ํ•˜์—ฌ ์„ฑ๋Šฅ์„ ์ €ํ•˜์‹œํ‚ค๋Š” ์š”์†Œ๋ฅผ ์ฐพ์•„๋ƒ…๋‹ˆ๋‹ค.

์„ธ ๋ฒˆ์งธ ๋‹จ๊ณ„๋Š” Dynamic Simulation์„ ํ†ตํ•œ ๊ฒ€์ฆ์ž…๋‹ˆ๋‹ค. ์ด ๋‹จ๊ณ„์—์„œ๋Š” ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋„๊ตฌ๋ฅผ ์‚ฌ์šฉํ•˜์—ฌ ์„ค๊ณ„๋œ ํšŒ๋กœ์˜ ๋™์ž‘์„ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ํ•˜๊ณ , ๊ฐ ์…€์˜ ํฌ๊ธฐ๊ฐ€ Timing, ์ „๋ ฅ ์†Œ๋น„, ๊ทธ๋ฆฌ๊ณ  ์ „์ฒด ์„ฑ๋Šฅ์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ํ‰๊ฐ€ํ•ฉ๋‹ˆ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด ์„ค๊ณ„์ž๋Š” ์ตœ์ ์˜ ์…€ ํฌ๊ธฐ๋ฅผ ๊ฒฐ์ •ํ•˜๊ณ , ํ•„์š”์— ๋”ฐ๋ผ ์กฐ์ •ํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

๋งˆ์ง€๋ง‰์œผ๋กœ, ์ตœ์ ํ™”๋œ Cell Sizing ๊ฒฐ๊ณผ๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ ํšŒ๋กœ๋ฅผ ์‹ค์ œ๋กœ ๊ตฌํ˜„ํ•˜๋Š” ๋‹จ๊ณ„๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. ์ด ๋‹จ๊ณ„์—์„œ๋Š” ์„ค๊ณ„๋œ ํšŒ๋กœ๋ฅผ ์‹ค์ œ ์นฉ์œผ๋กœ ์ œ์ž‘ํ•˜๊ธฐ ์œ„ํ•œ Masking ๋ฐ Fabrication ๊ณผ์ •์ด ํฌํ•จ๋ฉ๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ๋ชจ๋“  ๋‹จ๊ณ„๋Š” Cell Sizing์˜ ์„ฑ๊ณต์ ์ธ ์ˆ˜ํ–‰์„ ์œ„ํ•ด ํ•„์ˆ˜์ ์ด๋ฉฐ, ๊ฐ ๋‹จ๊ณ„์—์„œ์˜ ์„ธ์‹ฌํ•œ ๋ถ„์„๊ณผ ์กฐ์ •์ด ํ•„์š”ํ•ฉ๋‹ˆ๋‹ค.

2.1 (Optional) Subsections

2.1.1 Analysis of Circuit Requirements

ํšŒ๋กœ ์š”๊ตฌ ์‚ฌํ•ญ ๋ถ„์„์€ Cell Sizing์˜ ์ฒซ ๋ฒˆ์งธ ๋‹จ๊ณ„๋กœ, ๊ธฐ๋Šฅ์  ์š”๊ตฌ ์‚ฌํ•ญ, ์„ฑ๋Šฅ ๋ชฉํ‘œ, ์ „๋ ฅ ์†Œ๋น„ ์š”๊ตฌ ์‚ฌํ•ญ ๋“ฑ์„ ํฌํ•จํ•ฉ๋‹ˆ๋‹ค. ์ด ๋‹จ๊ณ„์—์„œ ์„ค๊ณ„์ž๋Š” ํšŒ๋กœ์˜ ๋ชฉ์ ์— ๋งž๋Š” ์…€ ํฌ๊ธฐ๋ฅผ ๊ฒฐ์ •ํ•˜๊ธฐ ์œ„ํ•œ ๊ธฐ์ดˆ ์ •๋ณด๋ฅผ ์ˆ˜์ง‘ํ•ฉ๋‹ˆ๋‹ค.

2.1.2 Circuit Structure Analysis

ํšŒ๋กœ ๊ตฌ์กฐ ๋ถ„์„์€ ๊ฐ ์…€์˜ ์—ฐ๊ฒฐ ๋ฐฉ์‹๊ณผ Timing ๋ถ„์„์„ ํฌํ•จํ•ฉ๋‹ˆ๋‹ค. ์ด ๊ณผ์ •์—์„œ๋Š” Critical Path๋ฅผ ์‹๋ณ„ํ•˜์—ฌ ์„ฑ๋Šฅ ์ €ํ•˜ ์š”์†Œ๋ฅผ ์ฐพ์•„๋‚ด๊ณ , ์ด๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•ฉ๋‹ˆ๋‹ค.

2.1.3 Verification through Dynamic Simulation

Dynamic Simulation์€ ์ตœ์ ํ™”๋œ ์…€ ํฌ๊ธฐ๊ฐ€ ํšŒ๋กœ์˜ ์„ฑ๋Šฅ์— ๋ฏธ์น˜๋Š” ์˜ํ–ฅ์„ ํ‰๊ฐ€ํ•˜๋Š” ๋ฐ ์‚ฌ์šฉ๋ฉ๋‹ˆ๋‹ค. ์ด ๊ณผ์ •์—์„œ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋„๊ตฌ๋ฅผ ํ†ตํ•ด ์„ค๊ณ„๋œ ํšŒ๋กœ์˜ ๋™์ž‘์„ ํ™•์ธํ•˜๊ณ , ํ•„์š”ํ•œ ์กฐ์ •์„ ์ˆ˜ํ–‰ํ•ฉ๋‹ˆ๋‹ค.

Cell Sizing์€ ์—ฌ๋Ÿฌ ๊ด€๋ จ ๊ธฐ์ˆ ๊ณผ ๋น„๊ตํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ, ์ด๋Ÿฌํ•œ ๋น„๊ต๋ฅผ ํ†ตํ•ด Cell Sizing์˜ ํŠน์ง•๊ณผ ์žฅ๋‹จ์ ์„ ์ดํ•ดํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, Cell Sizing๊ณผ Logic Synthesis๋Š” ๋ฐ€์ ‘ํ•œ ๊ด€๊ณ„๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. Logic Synthesis๋Š” ์ฃผ์–ด์ง„ ๋…ผ๋ฆฌ ํ•จ์ˆ˜๋ฅผ ๊ตฌํ˜„ํ•˜๊ธฐ ์œ„ํ•œ ์ตœ์ ์˜ ํšŒ๋กœ ๊ตฌ์กฐ๋ฅผ ์ƒ์„ฑํ•˜๋Š” ๊ณผ์ •์ด๋ฉฐ, Cell Sizing์€ ์ด๋Ÿฌํ•œ ๊ตฌ์กฐ์—์„œ ๊ฐ ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜์—ฌ ์ตœ์ ์˜ ์„ฑ๋Šฅ์„ ๋‹ฌ์„ฑํ•˜๋Š” ๊ณผ์ •์ž…๋‹ˆ๋‹ค. Logic Synthesis๋Š” ์ฃผ๋กœ ํšŒ๋กœ์˜ ๊ธฐ๋Šฅ์  ์š”๊ตฌ ์‚ฌํ•ญ์„ ์ถฉ์กฑํ•˜๋Š” ๋ฐ ์ค‘์ ์„ ๋‘๋Š” ๋ฐ˜๋ฉด, Cell Sizing์€ ์„ฑ๋Šฅ๊ณผ ์ „๋ ฅ ์†Œ๋น„, ๋ฉด์  ์ตœ์ ํ™”์— ์ค‘์ ์„ ๋‘ก๋‹ˆ๋‹ค.

๋˜ํ•œ, Cell Sizing์€ Timing Closure์™€๋„ ๊ด€๋ จ์ด ์žˆ์Šต๋‹ˆ๋‹ค. Timing Closure๋Š” ํšŒ๋กœ์˜ Timing์„ ์ตœ์ ํ™”ํ•˜์—ฌ ์„ฑ๋Šฅ ๋ชฉํ‘œ๋ฅผ ๋‹ฌ์„ฑํ•˜๋Š” ๊ณผ์ •์œผ๋กœ, Cell Sizing์€ ์ด ๊ณผ์ •์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•ฉ๋‹ˆ๋‹ค. Timing Closure ๊ณผ์ •์—์„œ Cell Sizing์ด ์ œ๋Œ€๋กœ ์ด๋ฃจ์–ด์ง€์ง€ ์•Š์œผ๋ฉด, ํšŒ๋กœ์˜ ์„ฑ๋Šฅ์ด ์ €ํ•˜๋  ์ˆ˜ ์žˆ์œผ๋ฉฐ, ์ด๋Š” ๊ฒฐ๊ตญ ์ œํ’ˆ์˜ ํ’ˆ์งˆ์— ์˜ํ–ฅ์„ ๋ฏธ์นฉ๋‹ˆ๋‹ค.

์‹ค์ œ ์‚ฌ๋ก€๋กœ๋Š” ๊ณ ์† ํ”„๋กœ์„ธ์„œ ์„ค๊ณ„์—์„œ Cell Sizing์ด ์–ด๋–ป๊ฒŒ ํ™œ์šฉ๋˜๋Š”์ง€๋ฅผ ๋“ค ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ๊ณ ์† ํ”„๋กœ์„ธ์„œ์—์„œ๋Š” ๋†’์€ Clock Frequency๋ฅผ ์œ ์ง€ํ•˜๋ฉด์„œ๋„ ์ „๋ ฅ ์†Œ๋น„๋ฅผ ์ตœ์†Œํ™”ํ•ด์•ผ ํ•˜๋ฏ€๋กœ, Cell Sizing์ด ํ•„์ˆ˜์ ์ž…๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ๊ฒฝ์šฐ, ์„ค๊ณ„์ž๋Š” ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜์—ฌ ์ „์†ก ์ง€์—ฐ์„ ์ตœ์†Œํ™”ํ•˜๊ณ , ์ „๋ ฅ ์†Œ๋น„๋ฅผ ์ค„์ด๋ฉฐ, ์ตœ์ ์˜ ์„ฑ๋Šฅ์„ ๋‹ฌ์„ฑํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค.

4. References

  • IEEE (Institute of Electrical and Electronics Engineers)
  • ACM (Association for Computing Machinery)
  • Semiconductor Industry Association (SIA)
  • International Symposium on Low Power Electronics and Design (ISLPED)

5. One-line Summary

Cell Sizing์€ ๋””์ง€ํ„ธ ํšŒ๋กœ์˜ ์„ฑ๋Šฅ, ์ „๋ ฅ ์†Œ๋น„ ๋ฐ ๋ฉด์ ์„ ์ตœ์ ํ™”ํ•˜๊ธฐ ์œ„ํ•ด ๊ฐ ์…€์˜ ํฌ๊ธฐ๋ฅผ ์กฐ์ •ํ•˜๋Š” ์ค‘์š”ํ•œ ๊ณผ์ •์ด๋‹ค.