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Wireless Channel Characteristics - Fading Channel

์ง€ ์› 2021. 12. 6. 00:44

์ด๋™ํ†ต์‹  ์ฑ„๋„์—๋Š” Large-Scale propagation๊ณผ Small-Scale propagation์˜ Fading์„ ๊ฐ–๋Š”๋‹ค.

 

 

์ด๋™ํ†ต์‹ ์‹œ์Šคํ…œ์—์„œ ์‹ ํ˜ธ ์ „ํŒŒ์— ์˜ํ–ฅ์„ ๋ฏธ์น˜๋Š” 3๊ฐ€์ง€์˜ ๊ธฐ๋ณธ ๋ฉ”์ปค๋‹ˆ์ฆ˜

  • Relflection : ์ „ํŒŒํ•˜๋Š” ์ „์ž๊ธฐํŒŒ๊ฐ€ RF ์‹ ํ˜ธ ํŒŒ์žฅ์— ๋น„ํ•ด ๋งค์šฐ ํฐ ํฌ๊ธฐ์˜ ๋งค๋„๋Ÿฌ์šด ํ‘œ๋ฉด์— ์ถฉ๋Œํ•  ๋•Œ ๋ฐœ์ƒ
  • Diffaction : ์†ก์‹ ๊ธฐ์™€ ์ˆ˜์‹ ๊ธฐ ์‚ฌ์ด์˜ ๋ฌด์„ ๊ฒฝ๋กœ๊ฐ€ λ์— ๋น„ํ•ด ๋งค์šฐ ๋ฐ€์ง‘๋œ ๋ฌผ์ฒด์— ์˜ํ•ด ์ฐจ๋‹จ๋˜์–ด ๋ฐฉํ•ด๋˜๋Š” ๋ฌผ์ฒด์˜ ๋’ค์— 2์ฐจํŒŒ๊ฐ€ ํ˜•์„ฑ๋  ๋•Œ ๋ฐœ์ƒ
  • Scattering : ์ „ํŒŒ๊ฐ€ ํฌ๊ณ  ๊ฑฐ์นœ ํ‘œ๋ฉด์ด๋‚˜ λ์™€ ๋น„์Šทํ•˜๊ฑฐ๋‚˜ ์ž‘์€ ํ‘œ๋ฉด์— ์ถฉ๋™ํ•˜์—ฌ ๋ฐ˜์‚ฌ๋œ ์—๋„ˆ์ง€๊ฐ€ ์‚ฌ๋ฐฉ์œผ๋กœ ํผ์ ธ ๋‚˜๊ฐˆ ๋•Œ ๋ฐœ์ƒ

 

Large-Scale Fading

 

Mobile Cannel Environment

 

  • ๊ฑฐ๋ฆฌ์— ๋”ฐ๋ฅธ Path Loss, ์žฅ์• ๋ฌผ์— ์˜ํ•œ Shadowing
  • ๋‹ค์ค‘๊ฒฝ๋กœ์— ์˜ํ•œ Fading
  • ๊ฐ™์€ ๊ธฐ์ง€๊ตญ(cell)์•ˆ์˜ ๋‹ค๋ฅธ ์‚ฌ์šฉ์ž๋กœ๋ถ€ํ„ฐ์˜ ๊ฐ„์„ญ - intracell interference
  • ๋‹ค๋ฅธ ๊ธฐ์ง€๊ตญ(cell)์œผ๋กœ๋ถ€ํ„ฐ ์ˆ˜์‹ ๋˜๋Š” ์‹ ํ˜ธ์— ๋”ฐ๋ฅธ ๊ฐ„์„ญ - intercell interference

 

 

Large-Scale Propagation Model

 

  • ์†ก์ˆ˜์‹ ๋‹จ ์‚ฌ์ด์˜ ๊ฑฐ๋ฆฌ์— ๋”ฐ๋ฅธ ๊ฐ์‡  Path Loss
  • ๊ฑด๋ฌผ ๋“ฑ์˜ ์ง€ํ˜• ์ง€๋ฌผ์— ๋”ฐ๋ฅธ ๊ฐ์‡  Shadowing

⇒ ์‹ ํ˜ธ์˜ ๋ณ€ํ™”๋Š” ์ฒœ์ฒœํžˆ ์ผ์–ด๋‚˜๋ฉฐ, ์‹ ํ˜ธ์˜ ๋ณ€ํ™” ๋ถ„ํฌ๋Š” ์ฃผ๋กœ Log-normal ๋ถ„ํฌ

 

๊ฑฐ๋ฆฌ์— ๋”ฐ๋ฅธ path loss๊ฐ’

 

Log-distance ๊ฒฝ๋กœ ์†์‹ค ๋ชจ๋ธ

 

ํ‰๊ท  ์ˆ˜์‹  ์ „๋ ฅ์€ ๊ฑฐ๋ฆฌ์— ๋”ฐ๋ผ ๋กœ๊ทธํ•จ์ˆ˜์˜ ๊ฐ’์œผ๋กœ ๊ฐ์†Œ๋จ

Log-normal shadowing ๋ชจ๋ธ

 

๊ฑฐ๋ฆฌ d๋งŒํผ ๋–จ์–ด์ง„ ์ง€์ ์—์„œ ๊ฒฝ๋กœ ๊ฐ์‡  ๊ฐ’

- ์‹ค์ œ ์ฃผ๋ณ€ ํ™˜๊ฒฝ์— ๋”ฐ๋ผ ๊ฒฝ๋กœ ์†์‹ค ๋ณ€ํ™”

- ์‹ค์ œ ํ™˜๊ฒฝ์—์„œ ๋‚˜๋ฌด๋‚˜ ๋นŒ๋”ฉ ๋“ฑ์— ์˜ํ•ด ์ „ํŒŒ ๊ฐ์‡ 

๊ฐ™์€ ๊ฑฐ๋ฆฌ์— ์กด์žฌํ•˜๋‚˜ ์‹ ํ˜ธ์„ธ๊ธฐ๊ฐ€ ๋‹ค๋ฅธ ์š”์ธ

 

 

Small-Scale Fading

: ์•„์ฃผ ์งง์€ ์‹œ๊ฐ„ (์ˆ˜์ดˆ ๋‹จ์œ„) ํ˜น์€ ์งง์€ ๊ฑฐ๋ฆฌ (์ˆ˜ ํŒŒ์žฅ)์—์„œ ์ˆ˜์‹  ์‹ ํ˜ธ์˜ ๋น ๋ฅธ ๋ณ€ํ™”๋ฅผ ๋‚˜ํƒ€๋‚ด๋Š” ์ „ํŒŒ ๋ชจ๋ธ

 

 

 

 multi-path fading 

 

Multi-path(๋‹ค์ค‘ ๊ฒฝ๋กœ ์ง€์—ฐ ํ™•์‚ฐ)์— ์˜ํ•œ fading - ์‹œ๊ฐ„์ถ• Delay spread

 

  • ์ฃผํŒŒ์ˆ˜ ์„ ํƒ์  ํŽ˜์ด๋”ฉ(frequency selective fading)
    • ์‹ ํ˜ธ ๋Œ€์—ญํญ > ์ฑ„๋„ ๋Œ€์—ญํญ
    • ์ง€์—ฐ ํ™•์‚ฐ > ์‹ฌ๋ณผ ์ฃผ๊ธฐ
    • ISI ์ฆ๊ฐ€, delay ์ฆ๊ฐ€

 

  • ์ฃผํŒŒ์ˆ˜ ๋น„์„ ํƒ์  ํŽ˜์ด๋”ฉ(flat fading)
    • ์‹ ํ˜ธ ๋Œ€์—ญํญ < ์ฑ„๋„ ๋Œ€์—ญํญ
    • ์ง€์—ฐํ™•์‚ฐ < ์‹ฌ๋ณผ ์ฃผ๊ธฐ
    • delay ๊ฐ์†Œ

 

 

 

Doppler Effect(๋„ํ”Œ๋Ÿฌ ํ™•์‚ฐ)์— ์˜ํ•œ fading - ์ฃผํŒŒ์ˆ˜์ถ• Doppler spread 

 

  • ๋น ๋ฅธ ํŽ˜์ด๋”ฉ (fast fading)
    • ๋„ํ”Œ๋Ÿฌ ํ™•์‚ฐ์˜ ์ฆ๊ฐ€
    • Coherence Time < ์‹ฌ๋ณผ ์ฃผ๊ธฐ
    • ๋„ํ”Œ๋Ÿฌ ํ™•์‚ฐ์œผ๋กœ ์ธํ•œ ์ฃผํŒŒ์ˆ˜ ๋ถ„์‚ฐ์ด ํด ๊ฒฝ์šฐ

 

  • ๋Š๋ฆฐ ํŽ˜์ด๋”ฉ (slow fading)
    • ๋„ํ”Œ๋Ÿฌ ํ™•์‚ฐ์˜ ๊ฐ์†Œ
    • Coherence Time > ์‹ฌ๋ณผ ์ฃผ๊ธฐ
    • ๋„ํ”Œ๋Ÿฌ ํ™•์‚ฐ์œผ๋กœ ์ธํ•œ ์ฃผํŒŒ์ˆ˜ ๋ถ„์‚ฐ์ด ์ž‘์€ ๊ฒฝ์šฐ

 

 

 

 

 

 

 

์ฐธ๊ณ 

Sklar, Bernard. "Rayleigh fading channels in mobile digital communication systems. I. Characterization." IEEE Communications magazine 35.7 (1997): 90-100.

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