ืžื‘ื•ื ืœืคืกื™ื›ื•ืœื•ื’ื™ื” – ืกื™ื›ื•ืžื™ื: ื—ื™ืฉื”

ืžื‘ื•ื ืœืคืกื™ื›ื•ืœื•ื’ื™ื” – ืกื™ื›ื•ืžื™ื:ย ื—ื™ืฉื”

ื”ืกื™ื›ื•ืžื™ื ืขื•ื–ืจื™ื ืœื›ื? ืื ื ืฉืงืœื•ย ืœืชืช ืชืจื•ืžื” ืงื˜ื ื” ื‘ืชืžื•ืจื”โ€ฆย ืืคืฉืจ ื’ื ืœืขืฉื•ืชย ืœื™ื™ืง!

ื—ื–ืจื” ืœืจืฉื™ืžืชย ืกื™ื›ื•ืžื™ื ื‘ืžื‘ื•ื ืœืคืกื™ื›ื•ืœื•ื’ื™ื”ย 

ื‘ืขื™ื•ืช ื‘ืชืคื™ืกืช ื’ื™ืจื•ื™ื™ื: ย ย ย ย ย ย ย ย ย ย 

  1. ื‘ืขื™ื™ืช ื”ื’ื™ืœื•ื™– ืฆืจื™ืš ืœื’ืœื•ืช ืฉื™ืฉ ื‘ื›ืœืœ ื’ื™ืจื•ื™ ื•ืœืขื ื•ืช ื›ืŸ/ืœื.
  2. ื‘ืขื™ื™ืช ื”ื”ื‘ื—ื ื”– ืฆืจื™ืš ืœืฉื™ื ืœื‘ ืœืฉื™ื ื•ื™ื™ื.
  3. ื‘ืขื™ื™ืช ื”ื–ื™ื”ื•ื™– ืžื” ื”ื’ื™ืจื•ื™ ื”ืžื•ืฆื’?

รง ืชื™ืื•ืจื™ืช ื”ืกืฃ ื”ืžื•ื—ืœื˜ (absolute threshold)

ื”ืกืฃ ื”ืžื•ื—ืœื˜ ื”ื•ื ื”ื“ืจืš ื”ื ืคื•ืฆื” ื‘ื™ื•ืชืจ ืœื”ืขืจื›ืช ืจื’ื™ืฉื•ืช ืฉืœ ืชืฆื•ืจื” ืกื ืกื•ืจื™ืช. ื”ืกืฃ ื”ืžื•ื—ืœื˜ ื”ื•ื ื”ื’ื•ื“ืœ ื”ืžื™ื ื™ืžืœื™ ืฉืœ ื’ื™ืจื•ื™ ืฉื ื™ืชืŸ ืœื”ืคืจื“ื” ื‘ืจื•ืจื” ืžืžืฆื‘ ืฉืœ ืื™-ื’ื™ืจื•ื™. ื”ืกืฃ ื”ืžื•ื—ืœื˜ ื›ืขืจืš ืฉืžืชื—ืชื™ื• ืื™ืŸ ื›ืœืœ ืื™ืชื•ืจ ืฉืœ ื”ื’ื™ืจื•ื™ ื•ืžืขืœื™ื• ื™ืฉ ืื™ืชื•ืจ ืžืœื ืฉืœ ื”ื’ื™ืจื•ื™- "ื”ื›ืœ ืื• ื›ืœื•ื".

ื- ื’ื™ืœื•ื™ ื”ืกืฃ ื”ืžื•ื—ืœื˜ ื‘ืืžืฆืขื•ืช ืฉื™ื˜ืช ื”ื’ื‘ื•ืœื•ืช:

ืžืœืžื˜ื” ืœืžืขืœื”โ€“ ื’ื™ืจื•ื™ ื‘ืขืฆืžื” ื—ืœืฉื” ืฉืžืชื—ื–ืง ื‘ื”ื“ืจื’ื”.

ืžืœืžืขืœื” ืœืžื˜ื”โ€“ ื’ื™ืจื•ื™ ื‘ืขืฆืžื” ื—ื–ืงื” ืฉื ื—ืœืฉ ื‘ื”ื“ืจื’ื”.

ืขืจืš ื”ืกืฃ ื”ืžื•ื—ืœื˜: ื”ืžืžื•ืฆืข ื‘ื™ืŸ ื”ืขืจื›ื™ื ื‘ื”ื ื”ื ื—ืงืจ ืฉื™ื ื” ืืช ืชื’ื•ื‘ืชื•.

ื”ื‘ืขื™ื•ืช ื‘ืฉื™ื˜ืช ื”ื’ื‘ื•ืœื•ืช: ย 1. ื‘ืขื™ื™ืช ื”ื”ืชืžื“ื”: ื ื‘ื“ืง ืžืชืžื™ื“ ืœืขื ื•ืช ื‘ืชืฉื•ื‘ื” ืื—ืช (ื›ืŸ, ื›ืŸ, ื›ืŸ).

ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  ย ย ย ย ย ย  2. ื‘ืขื™ื™ืช ื”ืฆื™ืคื™ื™ื”: ืชืฉื•ื‘ืช ื”ื ื‘ื“ืง ืชื•ืืžืช ืœืฆื™ืคื™ื™ื” ืฉืœื• โ€“ ื•ืœื ืœืชื—ื•ืฉืชื•.

ย ย ย ย ย ย  3. ื”ืกืฃ ื”ืžื•ื—ืœื˜ ืžืฉืชื ื”: ื‘ื”ืชืื ืœืื“ื ื•ืœืชื ืื™ ื”ื ื™ืกื•ื™ (ืขื™ื™ืคื•ืช, ืžื™ื“ืช ืงืฉื‘).

ื‘- ืคืชืจื•ืŸ– ืฉื™ื˜ืช ื”ื’ื™ืจื•ื™ื™ื ื”ืงื‘ื•ืขื™ื:

ื”ืฆื’ื” ืืงืจืื™ืช ืฉืœ ื’ื™ืจื•ื™ื™ื ืžืกื‘ื™ื‘ ืœืกืฃ ื”ืžืฉื•ืขืจ. ื”ืกืฃ ื”ืžื•ื—ืœื˜ ื”ื•ื ืขืฆืžืช ื”ื’ื™ืจื•ื™ ืฉืขื‘ื•ืจื• ื ืชืงื‘ืœื• 50% ืชืฉื•ื‘ื•ืช "ื›ืŸ". ื›ื™ื•ื•ืŸ ืฉื”ื”ืฆื’ื” ืืงืจืื™ืช ื”ื ื‘ื“ืง ืœื ื™ื›ื•ืœ ืœื”ืชืžื™ื“ ื‘ืกื•ื’ ื”ืชืฉื•ื‘ื”, ืœื—ื–ื•ืช ืืช ื”ืชืฉื•ื‘ื” ื”ื‘ืื”, ื•ืชื ื•ื“ื•ืช ื‘ืขื™ื™ืคื•ืช ื•ื‘ืจื™ื›ื•ื– ื™ืฉืคื™ืขื• ื‘ืื•ืคืŸ ืฉื•ื•ื” ืขืœ ื›ืœ ื”ื’ื™ืจื•ื™ื™ื.

รง ืชื™ืื•ืจื™ืช ื’ื™ืœื•ื™ ื”ืื•ืชื•ืช (signal-detection theory)

ื”ืฆื’ืช ื’ื™ืจื•ื™ ื‘ืขืœ ืขื•ืฆืžื” ืงื‘ื•ืขื”, ื›ืืฉืจ ืœืขื™ืชื™ื ื”ื’ื™ืจื•ื™ ืžื•ืฆื’ ื•ืœืขื™ืชื™ื ืœื. ื”ืชื™ืื•ืจื™ื” ื”ื™ื ื“ืจืš ื”ืžืืคืฉืจืช ืœื”ืกื‘ื™ืจ ืืช ื”ื˜ืขื•ื™ื•ืช ื”ื ืขืฉื•ืช ื‘ื’ื™ืœื•ื™ ืื•ืชื•ืช.

ืจืขืฉ (noise)– ื”ืžืขืจื›ืช ื”ืชืคื™ืกืชื™ืช ื”ื™ื ืžืขืจื›ืช ืจื•ืขืฉืช ื‘ืื•ืคืŸ ืชืžื™ื“ื™. ื”ืจืขืฉ ื™ื›ื•ืœ ืœื”ื™ื•ืช ื—ื™ืฆื•ื ื™/ืคื ื™ืžื™ ื•ื‘ืขื•ืฆืžื” ืžืฉืชื ื”, ืขืœ ื”ืื“ื ืœื”ื—ืœื™ื˜ ืื ื”ืฉื™ื ื•ื™ ื‘ืขื•ืฆืžื” ื”ื•ื ืกืคื•ื ื˜ื ื™ ืื• ืฉืžื“ื•ื‘ืจ ื‘ื”ืฆื’ืช ื’ื™ืจื•ื™ (signal). ื ื•ื›ื—ื•ืช ื”ื’ื™ืจื•ื™ ืžื•ืกื™ืคื” ืœืจืขืฉ ื‘ื›ืœ ืžืงืจื”.

ื™ืฉื ื 4 ืชื’ื•ื‘ื•ืช ืืคืฉืจื™ื•ืช:

ื. ืžืฆื‘ื™ื ื”ืžืฆื™ื™ื ื™ื ืชืฉื•ื‘ืช "ื›ืŸ" ื ื›ื•ื ื”/ืœื ื ื›ื•ื ื”.

  • Hit โ€“ ืชื’ื•ื‘ืช ื›ืŸ ื›ืืฉืจ ื™ืฉ ืื•ืช.
  • FA (false alarm) โ€“ ืชื’ื•ื‘ืช ื›ืŸ ื›ืืฉืจ ืื™ืŸ ืื•ืช (รŸ ื”ืคืจื›ื” ืฉืœ ืชื™ืื•ืจื™ืช ื”ืกืฃ ื”ืžื•ื—ืœื˜).

ื‘. ืžืฆื‘ื™ื ื”ืžืฆื™ื™ื ื™ื ืชืฉื•ื‘ืช "ืœื" ื ื›ื•ื ื”/ืœื ื ื›ื•ื ื”.

  • CR ืœื ื”ื™ื” ื’ื™ืจื•ื™ ื•ื”ื ื‘ื“ืง ืืžืจ ืœื.
  • MISS ื”ื™ื” ื’ื™ืจื•ื™ ื•ื”ื ื‘ื“ืง ืืžืจ ืœื.

ย 

ืขืงื•ืžื” 1- ืขืงื•ืžืช ROC:

ื”ืกื™ื›ื•ื ืฉืœ ื‘ื™ืฆื•ืข ื”ื ื‘ื“ืง ื ืขืฉื” ื‘ืืžืฆืขื•ืช ืขืงื•ืžืช ROC. ื”ืขืงื•ืžื” ืžืฆื‘ื™ืขื” ืขืœ ืจืžืช ื”ืจื’ื™ืฉื•ืช; ื›ื›ืœ ืฉื”ืจื’ื™ืฉื•ืช ื’ื‘ื•ื”ื” ื™ื•ืชืจ ื›ืš ื”ืขืงื•ืžื” ืงืžื•ืจื” ื™ื•ืชืจ. ื”ืงื• ื”ืืœื›ืกื•ื ื™ ืžื™ื™ืฆื’ ื—ื•ืกืจ ืจื’ื™ืฉื•ืช- ื‘ื›ืœ ื ืง' ืขืœ ื”ืงื• (FA)P=(HIT)P. ื›ืœ ื”ื ืงื•ื“ื•ืช ืขืœ ืื•ืชื” ืขืงื•ืžื” ื”ืŸ ื‘ืื•ืชื” ืจื’ื™ืฉื•ืช, ืœื›ืŸ ื”ืขืงื•ืžื•ืช "ืฉื•ื•ืช ืจื’ื™ืฉื•ืช".

ืฆื™ืจ ื”-X ื”ื”ืกืชื‘ืจื•ืช/ืคืจื•ืคื•ืจืฆื™ื” ืœืื–ืขืงืช ืฉื•ื•ื =FA/(FA+CR)(FA)P.

ืฆื™ืจ ื”-Y ื”ื”ืกืชื‘ืจื•ืช/ืคืจื•ืคื•ืจืฆื™ื” ืœืคื’ื™ืขื” HIT/(HIT+MISS)=(HIT)P.

ืงืจื™ื˜ืจื™ื•ืŸ (ฮฒ): ื’ื•ืจื ื ื•ืกืฃ ื”ืžืฉืคื™ืข ืขืœ ืชืฉื•ื‘ืช ื”ื ื‘ื“ืง. ื”ืงืจื™ื˜ืจื™ื•ืŸ ื”ื™ื ื”ื ืงื•ื“ื” ืขืœ ื”ื’ืจืฃ ืžืขืœื™ื” ืื“ื ื™ืืžืจ "ื›ืŸ" ื•ืžืชื—ืชื™ื” ื™ืืžืจ "ืœื" (ืกื•ื’ ืฉืœ ื”ื—ืœื˜ื” ืœื ืžื•ื“ืขืช). ืขืœ ื”ืขืงื•ืžื”: ื”ื ืงื•ื“ื” ื”ื™ืžื ื™ืช ื”ืขืœื™ื•ื ื”- ื”ื ื‘ื“ืง ื”ืฉื™ื‘ "ื›ืŸ" ืœื›ืœ ื”ืฉืืœื•ืช. ื”ื ืงื•ื“ื” ื”ืฉืžืืœื™ืช ื”ืชื—ืชื•ื ื”- ื”ื ื‘ื“ืง ื”ืฉื™ื‘ "ืœื" ืœื›ืœ ื”ืฉืืœื•ืช.

ื”ืฉืคืขื•ืช ืขืœ ืงื‘ื™ืขืช ืงืจื™ื˜ืจื™ื•ืŸ:

  1. ืฆื™ืคื™ื•ืช: ืžื” ื”ืกื™ื›ื•ื™ ืฉื™ื”ื™ื” ื’ื™ืจื•ื™? (ืงืจื™ื˜ืจื™ื•ืŸ ืžืงืœโ€“ ื ื˜ื™ื” ืœื•ืžืจ "ื›ืŸ", ืงืจื™ื˜ืจื™ื•ืŸ ืžื—ืžื™ืจโ€“ ืคื—ื•ืช ื ื˜ื™ื” "ื›ืŸ").
  2. ืžื•ื˜ื™ื‘ืฆื™ื”: ืžื”ื™ ื”ืชื•ืขืœืช ืฉืœ ื”ื ื‘ื“ืง ืžื’ื™ืœื•ื™ ืื• ืื™ ื’ื™ืœื•ื™ ื”ื’ื™ืจื•ื™? ื”ืžื—ื™ืจ ืฉืื ื™ ืžืฉืœื ืขืœ ื”ื˜ืขื•ื™ื•ืช (ืงืจื™ื˜ืจื™ื•ืŸ ืžืงืœโ€“ ืžื—ื™ืจ ื’ื‘ื•ื” ื™ื•ืชืจ ืœMISS, ืงืจื™ื˜ืจื™ื•ืŸ ืžื—ืžื™ืจโ€“ ืžื—ื™ืจ ื’ื‘ื•ื” ื™ื•ืชืจ ืœ- FA).

ืขืงื•ืžื” 2- ืขืงื•ืžืช N ื•ืขืงื•ืžืช N+S:

ื ื™ืชืŸ ืœืฉืจื˜ื˜ ืืช ืชื”ืœื™ืš ื”ื”ื—ืœื˜ื” ืข"ืค ืชื™ืื•ืจื™ืช ื’ื™ืœื•ื™ ื”ืื•ืชื•ืช ื‘ืื•ืคืŸ ื”ื‘ื:

ืฆื™ืจ ื”-X ืขื•ืฆืžืช ื”ืชื—ื•ืฉื”.

ืฆื™ืจ ื”-Y ื”ื”ืกืชื‘ืจื•ืช ืœืชื—ื•ืฉื” ื‘ืขื•ืฆืžื” ืžืกื•ื™ืžืช: N– ืื™ืŸ ื’ื™ืจื•ื™ ื™ืฉ ืจืง ืจืขืฉ / N+S– ื™ืฉ ื’ื™ืจื•ื™ ื•ื™ืฉ ืจืขืฉ (ื”ืขืงื•ืžื” ื–ื–ื” ื™ืžื™ื ื”).

ืฉื™ื ื•ื™ ื”ืงืจื™ื˜ืจื™ื•ืŸ: ื™ื•ืชืจ "ืœื" (ื”ืขืœืืช ื”ืงืจื™ื˜ืจื™ื•ืŸ) ื™ื•ื‘ื™ืœ ืœืชื–ื•ื–ื” ื™ืžื™ื ื” ืฉืœ ื”ืงืจื™ื˜ืจื™ื•ืŸ, ื™ื•ืชืจ "ื›ืŸ" (ื”ื•ืจื“ืช ื”ืงืจื™ื˜ืจื™ื•ืŸ) ื™ื•ื‘ื™ืœ ืœืชื–ื•ื–ื” ืฉืžืืœื” ืฉืœ ื”ืงืจื™ื˜ืจื™ื•ืŸ.

ืจื’ื™ืฉื•ืช (โ€˜d): ื”ืžืจื—ืง ื‘ื™ืŸ ืฉืชื™ ื”ืขืงื•ืžื•ืช, ืžืฉืงืฃ ืืช ื”ืชื•ืกืคืช ื‘ืขื•ืฆืžื” (ื”ืชื—ื•ืฉื” ืฉื ื’ืจืžื” ืขืงื‘ ื”ื•ืกืคืช ื”ื’ื™ืจื•ื™). ื›ื›ืœ ืฉื”ืจื’ื™ืฉื•ืช ื’ื‘ื•ื”ื” ื™ื•ืชืจ ื›ืš ื”ืชื•ืกืคืช ื‘ืชื—ื•ืฉื” ื’ื“ื•ืœื” ื™ื•ืชืจ ื•ื™ืฉ ืžืขื˜ ื—ืคื™ืคื” ื‘ื™ืŸ ื”ืขืงื•ืžื•ืช. ื›ื›ืœ ืฉื”ืขืงื•ืžื•ืช ืคื—ื•ืช ืจื’ื™ืฉื•ืช ื›ืš ื™ืฉ ื™ื•ืชืจ ืื™ ื•ื“ืื•ืช, ืžืฉื•ื ืฉืงืฉื” ื™ื•ืชืจ ืœื“ืขืช ืžืชื™ ื”ื•ืคื™ืข ืื•ืช ื•ืžืชื™ ืœื. ื›ืฉื”ืขืงื•ืžื•ืช ืžืชืœื›ื“ื•ืช ื”ืจื’ื™ืฉื•ืช ื”ื™ื ืืคืก- ื”ืื“ื ืื™ื ื• ืžื‘ื—ื™ืŸ ื›ืœืœ ืื ื™ืฉ ืจืง ืจืขืฉ ืื• ื ื•ืกืฃ ืื•ืช.

ื”ืฉืคืขื•ืช ืขืœ ืจื’ื™ืฉื•ืช:

  1. ืขื•ืฆืžืช ื”ื’ื™ืจื•ื™– ื›ื›ืœ ืฉื”ืขื•ืฆืžื” ืขื•ืœื” ื”ืขืงื•ืžื•ืช ืžืชืจื—ืงื•ืช ื–ื• ืžื–ื• ื•ืœื›ืŸ ื™ืฉ ืคื—ื•ืช ื—ืคื™ืคื” ื‘ื™ื ื™ื”ืŸ.
  2. ื’ื•ืจืžื™ื ืคื™ื–ื™ื•ืœื•ื’ื™ื– ืžืชื™ื™ื—ืก ืœื”ืกืชื’ืœื•ืช ืคื™ื–ื™ื•ืœื•ื’ื™ืช, ืœืื—ืจ ืฉืžืกืชื’ืœื™ื ืคื—ื•ืช ืจื’ื™ืฉื™ื.
  3. ืžื™ื•ืžื ื•ืช– ืืฆืœ ืื“ื ืžื™ื•ืžืŸ ื”ืจื’ื™ืฉื•ืช ืขื•ืœื”.

รœย ย ย ย ย  ืกืฃ ื”ื”ื‘ื“ืœ (DT)– ื”ื”ืคืจืฉ ื”ืžื™ื ื™ืžืœื™ ื‘ืขื•ืฆืžื” ืคื™ืกื™ืงืœื™ืช ื‘ื™ืŸ ืฉื ื™ ื’ื™ืจื•ื™ื™ื, ื”ื ื“ืจืฉ ื›ื“ื™ ืœืชืคื•ืก ืื•ืชื ื›ืฉื•ื ื™ื.ย ย ย ย ย ย  รŸื‘ื™ื—ื™ื“ื•ืช ืคื™ืกื™ืงืœื™ื•ืช.

ย ย ย ย ย ย ย ย ย ย  DT = ืžื—ืฆื™ืช ื”ืคืขืจ ื‘ื™ืŸ ื”ืกืฃ ื”ืขืœื™ื•ืŸ ืœืกืฃ ื”ืชื—ืชื•ืŸ.

ย ย ย ย ย ย ย ย ย ย  ืกืฃ ื”ื‘ื“ืœ ื ืžื•ืš- ืจื’ื™ืฉื•ืช ื’ื‘ื•ื”ื” / ืกืฃ ื”ื‘ื“ืœ ื’ื‘ื•ื”- ืจื’ื™ืฉื•ืช ื ืžื•ื›ื”.

รœย ย ย ย ย  JND (just noticeable difference)- ื”ื™ืงืฃ ื”ืฉื™ื ื•ื™ ื”ืžื™ื ื™ืžืœื™ ื”ื›ืจื—ื™ ืขืœ ืžื ืช ืœื”ื‘ื—ื™ืŸ ื‘ื™ืŸ 2 ื’ื™ืจื•ื™ื™ื.ย ย ย ย ย  รŸื‘ื™ื—ื™ื“ื•ืช ืฉืœ ืชื—ื•ืฉื”.

รœย ย ย ย ย  ืกื™ืœื•ื: ืชืจื’ื•ื ืฉืœ ืขืฆืžืช ื’ื™ืจื•ื™ ืคื™ื–ื™ืงืœื™ ืœืขืฆืžืช ื’ื™ืจื•ื™ ืคืกื™ื›ื•ืœื•ื’ื™.

ื—ื•ืง ื•ื•ื‘ืจ ืžื ืกื— ืžื”ื• ื”ืฉื™ื ื•ื™ ื”ืคื™ื–ื™ืงืœื™ ื”ื ื“ืจืฉ ืขืœ ืžื ืช ืฉื ืจื’ื™ืฉ ื‘ื”ื‘ื“ืœ ื‘ื™ืŸ ืฉื ื™ ื’ื™ืจื•ื™ื™ื, ืืš ืื™ื ื• ื ื•ืชืŸ ื“ืจืš ืœืชืจื’ื ืขืฆืžื” ืคื™ื–ื™ืงืœื™ืช ืœืชื—ื•ืฉื”.

ืกื™ืœื•ื ื™ืฉื™ืจ โ€“ ื”ื ื‘ื“ืง ืžื“ืจื’ ืืช ืขืฆืžืช ื”ืชื—ื•ืฉื” ืฉืœื• (ืคื™ ื›ืžื” ื”ืชื—ื–ืง ื”ืจืขืฉ?).

ืกื™ืœื•ื ืขืงื™ืฃ โ€“ ืžืกื™ืงื™ื ืืช ื”ืชืจื’ื•ื ืžืชื•ืš ืชืฉื•ื‘ื•ืช ืœืžืฉื™ืžื” ืื—ืจืช (ื”ื ื‘ื“ืงื™ื ืฆืจื™ื›ื™ื ืจืง ืœื”ืขื™ื“ ืขืœ ืฉื™ื ื•ื™ ื•ืœื ืขืœ ืขืฆืžืช ื”ืฉื™ื ื•ื™).

ย 

 

ื—ื•ืง ื•ื•ื‘ืจ
ื—ื•ืง ืคื›ื ืจ

ื—ื•ืง ืกื˜ื™ื‘ื ืก

ืขื‘ื•ืจ ื›ืœ ืื•ืคื ื” ื—ื•ืฉื™ืช (ืฉืžื™ืขื”, ืจืื™ื”) ื™ืฉื ื• ื™ื—ืก ืงื‘ื•ืข ื‘ื™ืŸ ื’ื•ื“ืœ ื”ื’ื™ืจื•ื™ ืœื‘ื™ืŸ ืขื•ืฆืžืช ื”ื”ื‘ื“ืœ ื”ื ื“ืจืฉืช ืขืœ ืžื ืช ืฉื™ื–ื•ื”ื” ื”ื‘ื“ืœ ื‘ื™ืŸ ื”ื’ื™ืจื•ื™ื™ื. ืขืค"ื™ ื•ื•ื‘ืจ, ื›ื›ืœ ืฉืขืจื›ื• ืฉืœ ื”ื’ื™ืจื•ื™ ื”ืกื˜ื ื“ืจื˜ื™ ื’ื‘ื•ื” ื™ื•ืชืจ, ื›ืš ื™ื•ืจื“ืช ืจื’ื™ืฉื•ืช ื”ืžืขืจื›ืช ื”ืกื ืกื•ืจื™ืช ืœืฉื™ื ื•ื™ื™ื ื‘ืขื•ืฆืžื” (100 ื ืจื•ืช ื‘ื—ื“ืจ ืœื ื ืฉื™ื ืœื‘ ืื ื™ื•ืกื™ืคื• ื ืจ 1 ืจืง ืื ื™ื•ืกื™ืคื• 5 ื ืจื•ืชโ€“ ื”ื’ื“ืœืช ื‘-5%). ืงืฉืจ ื–ื” ื ืงืจื ื—ื•ืง ื•ื•ื‘ืจ. ื”ืงื‘ื•ืข ืฉืœ ื”ืคืจื•ืคื•ืจืฆื™ื•ื ืœื™ื•ืช ื ืงืจื ืงื‘ื•ืข ื•ื•ื‘ืจ.

ย K ื’ื“ื•ืœ รง ืจื’ื™ืฉื•ืช ืงื˜ื ื”

K ืงื˜ืŸ รง ืจื’ื™ืฉื•ืช ื’ื“ื•ืœื”

ืข"ืค ื—ื•ืง ืคื›ื ืจ ืงื™ื™ืžืช ืืคืฉืจื•ืช ืœืงื‘ื•ืข ืืช ื”ื™ื—ืก ื‘ื™ืŸ ืขื•ืฆืžืช ื”ื’ื™ืจื•ื™ (ื’ื•ื“ืœ ืคื™ื–ื™ืงืœื™) ืœื‘ื™ืŸ ืขื•ืฆืžืช ื”ืชื—ื•ืฉื”. ืคื›ื ืจ ืงื™ื‘ืœ ืืช ื—ื•ืง ื•ื•ื‘ืจ ื•ื”ื•ืกื™ืฃ:

  • ืžืชื—ืช ืœืกืฃ ื”ืžื•ื—ืœื˜ ืื™ืŸ ืชื—ื•ืฉื”.
  • ืชื—ื•ืฉืช ื”ื‘ื“ืœ ื‘ื™ืŸ ืฉื ื™ ื’ื™ืจื•ื™ื™ื ืื™ื ื” ืชืœื•ื™ื” ื‘ื’ื•ื“ืœ ื”ื’ื™ืจื•ื™ื™ื JND- ื™ื—' ื”-JND ืฉื•ื•ืช.
  • ืขื•ืฆืžืช ื”ืชื—ื•ืฉื” ื”ื™ื ืžืกืคืจ ื™ื—ื™ื“ื•ืช ื”-JND ืžืขืœ ื”ืกืฃ ื”ืžื•ื—ืœื˜.
  • ืกื™ืœื•ื ืขืงื™ืฃ- ืชื”ืœื™ืš ื”ื—ื™ืฉื•ื‘ ืื™ื ื• ืžื•ื“ืข.
  • ืกื•ื’ ื”ืคื•ื ืงืฆื™ื”: ื“ื•ื—ืกืช (ืœื•ื’ืจื™ืชืžื™ืช).

ืกื˜ื™ื‘ื ืก ื”ืชื‘ืกืก ื’ื ื”ื•ื ืขืœ ื—ื•ืง ื•ื•ื‘ืจ, ืืš ื‘ื ื™ื’ื•ื“ ืœืคื›ื ืจ ื”ื ื™ื— ื›ื™:

  • ื™ื—ื™ื“ื•ืช ื”ืชื—ื•ืฉื” ืื™ื ืŸ ืฉื•ื•ืช, ืืœื ืžืฉืชื ื•ืช (ื”ื•ืœื›ื•ืช ื•ื’ื“ืœื•ืช).
  • ืกื™ืœื•ื ื™ืฉื™ืจ- ื”ื•ื ืžืืžื™ืŸ ืฉืื ืฉื™ื ื™ื›ื•ืœื™ื ืœืฉืคื•ื˜ ื•ืœื“ื•ื•ื— ืขืœ ืขื•ืฆืžืช ื”ื—ื•ื•ื™ื” ื”ืชื—ื•ืฉืชื™ืช.
  • ืกื•ื’ื™ ืคื•ื ืงืฆื™ื•ืช: ื“ื•ื—ืกืช (n<1)

ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  ืœื™ื ื™ืืจื™ืช (n=1)

ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  ืžื ืคื—ืช (n>1)

ย 

ย 

ย 

ย 

ย 

R = C * log S

ืขื•ืฆืžืช ื’ื™ืจื•ื™ย  ืงื‘ื•ืข ืคื›ื ืจย ย ย ย  ืชื—ื•ืฉื”

ืงื™ื“ื•ื“ ืกื ืกื•ืจื™

ื›ื™ืฆื“ ืžื•ืขื‘ืจื™ื ื’ื™ืจื•ื™ื™ื ืžื”ืจืฆืคื˜ื•ืจื™ื ื”ื—ื•ืฉื™ื™ื ืœืžื•ื—?

ื›ืœ ืชืฆื•ืจื” ืกื ืกื•ืจื™ืช, ื—ื™ื™ื‘ืช ืœื”ื™ื•ืช ืžืชื•ืจื’ืžืช ืœื”ื•ืœื›ื” (ื˜ืจื ืกื•ื“ืงืฆื™ื”)- ืชืจื’ื•ื ืื ืจื’ื™ื” ืคื™ืกื™ืงืœื™ืช ืœืื•ืชื•ืช ืืœืงื˜ืจื•ื ื™ื™ื ืฉื™ื›ื•ืœื™ื ืœื”ื’ื™ืข ืœืžื•ื—. ื”ืžืจื” ื–ื• ืžืชื‘ืฆืขืช ืข"ื™ ื”ืจืฆืคื˜ื•ืจื™ื ื‘ืื™ื‘ืจื™ ื”ื—ื™ืฉื”, ืฉืžืขื‘ื™ืจื™ื ืืช ื”ืžืกืจ ืœืงื•ืจื˜ืงืก.

ืฉืชื™ ืชื›ื•ื ื•ืช ืฉืœ ื’ื™ืจื•ื™ ื”ืŸ:

ืขื•ืฆืžื”– ืขื“ ื›ืžื” ื—ื–ืง ื”ื’ื™ืจื•ื™? ืขื•ืฆืžืช ื”ื’ื™ืจื•ื™ ืชื™ืžื“ื“ ื‘ืžื•ื ื—ื™ ืžืกืคืจ ืื™ืžืคื•ืœืกื™ื ื”ืขืฆื‘ื™ื™ื ื‘ื™ื—ื™ื“ืช ื–ืžืŸ ืื• ืข"ื™ ืžื“ื™ื“ืช ื”ืžืจื—ืง ื‘ื™ืŸ ืื™ืžืคื•ืœืก ืื—ื“ ืœืžืฉื ื”ื•.

ืื™ื›ื•ืช– ืžื” ื˜ื™ื‘ื• ืฉืœ ื”ื’ื™ืจื•ื™? ืื™ื–ื” ื’ื™ืจื•ื™ ื–ื”? ืงื™ื“ื•ื“ ืื™ื›ื•ืช ื”ื’ื™ืจื•ื™ ื ืงื‘ืขื™ื, ื›ืคื™ ืฉื”ืฆื™ืข ืžื™ืœืจ, ืขืค"ื™ ื”ื‘ื—ื ืชื• ืฉืœ ื”ืžื•ื— ื‘ื™ืŸ ืžื™ื“ืข ืžืชืฆื•ืจื•ืช ืกื ืกื•ืจื™ื•ืช ืฉื•ื ื•ืช. ื”ืžื•ื— ืžืงื•ื“ื“ ืืช ื”ื”ื‘ื“ืœื™ื ื‘ืื™ื›ื•ืช ื‘ื™ืŸ ืชืฆื•ืจื•ืช ืกื ืกื•ืจื™ื•ืช ืœืคื™ ื”ืžืกืœื•ืœื™ื ื”ืขืฆื‘ื™ื™ื ื”ืกืคืฆื™ืคื™ื™ื ื”ืงืฉื•ืจื™ื ืœื”ื. ื’ื ื‘ืชื•ืš ืื•ืชื• ื—ื•ืฉ ืขืฆืžื•, ื”ืงื™ื“ื•ื“ ืžื‘ื•ืกืก ืขืœ ื ื•ื™ืจื•ื ื™ื ื”ืงืฉื•ืจื™ื ืœื›ืš.

ืืคื™ืœื• ืžืชื•ืš ื”ืฉืงืจ ื”ืืžืช ื ื™ื›ืจืช: 9 ืฆื™ื˜ื•ื˜ื™ื ืžืจื’ืฉื™ื ืฉืœ ืฉ"ื™ ืขื’ื ื•ืŸ

ืขืœ ืžื” ื›ืชื‘ ืขื’ื ื•ืŸ "ื“ื•ืžื” ื”ื™ื” ืœื™ ืฉื”ืืจืฅ ืฉื”ืœื›ืชื™ ืขืœื™ื” ื•ื”ืจื—ื•ื‘ื•ืช ืฉืขื‘ืจืชื™ ื‘ื”ื ื•ื›ืœ ื”ืขื•ืœื ื›ื•ืœื• ืื™ื ื ืืœื ืคืจื•ื–ื“ื•ืจ ืœื‘ื™ืช ื–ื”"?

ืชื•ืขืœืชื ื•ืช ื•ื”ื ื•ืกื—ื” ื”ืžื ืฆื—ืช ืœืื•ืฉืจ

ืžื” ืื ื‘ื›ืœ ืื—ืช ืžืืœืคื™ ืžื”ื”ื—ืœื˜ื•ืช ื”ืงื˜ื ื•ืช ืื• ื”ื’ื“ื•ืœื•ืช ืฉืื ื• ืžืงื‘ืœื™ื ื‘ื›ืœ ื™ื•ื ื”ื™ื™ืชื” ื ื•ืกื—ื” ืฉืชืืžืจ ืœื ื• ืžื” ื”ื”ื—ืœื˜ื” ื”ื ื›ื•ื ื” ืฉืชื•ื‘ื™ืœ ืื•ืชื ื• ืœืื•ืฉืจ?

ืื™ืš ื“ืžื•ืงืจื˜ื™ื•ืช ืžืชื•ืช (ื•ืœืžื”)?

ืœืžื” ืกืคืจ ืฉื“ื™ื‘ืจ ืขืœ ื›ืš ืฉื“ืžื•ืงืจื˜ื™ื•ืช ืœื ื—ื™ื™ื‘ื•ืช ืœืงืจื•ืก ืืœื ื™ื›ื•ืœื•ืช ืคืฉื•ื˜ ืœื“ืขื•ืš ืขื•ืจืจ ืžื”ื•ืžื” ื›ืœ ื›ืš ืจื‘ื” ื‘ืืจื”"ื‘? ืขืœ "ืื™ืš ื“ืžื•ืงืจื˜ื™ื•ืช ืžืชื•ืช" ื•ื”ืฉืคืขืชื•

ืžื” ื”ื”ื‘ื“ืœ ื‘ื™ืŸ ืกื™ืžืคืชื™ื” ื•ืืžืคืชื™ื”?

ื”ืื ื–ื• "ืืžืคืชื™ื”" ืื• "ืกื™ืžืคืชื™ื”" ืฉืืชื ืžื‘ื™ืขื™ื? ื‘ืขื•ื“ ืฉืจื•ื‘ ื”ืื ืฉื™ื ื ื•ื˜ื™ื ืœื”ื—ืœื™ืฃ ื•ืœื‘ืœื‘ืœ ื‘ืžืฉืžืขื•ืช ื”ืžื™ืœื™ื, ื”ื”ื‘ื“ืœ ื‘ืžื ื’ื ื•ืŸ ื”ืจื’ืฉื™ ืฉืœื”ืŸ ื—ืฉื•ื‘. ืืžืคืชื™ื”, ื”ื™ื›ื•ืœืช ืœื”ืจื’ื™ืฉ ื‘ืคื•ืขืœ ืืช

ืœืœืžื•ื“ ื˜ื•ื‘ ื™ื•ืชืจ:

ืœืงื‘ืœ ื”ืฉืจืื”:

ืœื”ืคืขื™ืœ ืืช ื”ืจืืฉ:

ืกื•ื’ื™ ื”ื”ื•ืŸ: 11 ื“ืจื›ื™ื ืฉื•ื ื•ืช ืœื”ื™ื•ืช ืขืฉื™ืจ

ื‘ืกืคืจื• "ืฆื•ืจื•ืช ื”ื”ื•ืŸ" ืžืฆื™ืข ื”ืกื•ืฆื™ื•ืœื•ื’ ื”ื ื•ื“ืข ืคื™ื™ืจ ื‘ื•ืจื“ื™ื™ื” ืœื”ื›ื ื™ืก ืœืฉื™ืžื•ืฉ, ืœืฆื“ ื”ื“ื™ื•ืŸ ื‘ื”ื•ืŸ ื›ืœื›ืœื™, ื’ื ืืช ื”ืžื•ืฉื’ื™ื ืฉืœ ื”ื•ืŸ ื—ื‘ืจืชื™, ื”ื•ืŸ ืชืจื‘ื•ืชื™ ื•ื”ื•ืŸ ืกื™ืžื‘ื•ืœื™.

ืœื”ืฉืชืคืจ: