teori informasi

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Teori Informasi Teori Informasi Ir. Sihar, M.T. T. Informatika – Fak. Teknologi Informasi Bandung - 2012

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this article describes about information-theory for communication-channel

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Page 1: teori informasi

Teori InformasiTeori InformasiIr. Sihar, M.T.T. Informatika – Fak. Teknologi InformasiBandung - 2012

Page 2: teori informasi

Daftar PustakaDaftar Pustaka1) Hartley, R.V.L. "Transmission of

Information". Bell Labs Technical Journal. 1928.

2) Nyquist, H. "Certain Factors Affecting Telegraph Speed". Bell Labs Technical Journal. 1924.

3) Shannon, C. E. "A Mathematical Theory of Communication". Bell Labs Technical Journal. 1948.

Page 3: teori informasi

Area dan domainArea dan domain

Telegraph (th.1830)Telephone (th.1870)Wireless telegraph (th.1890)AM radio (th.1900)Single-Sideband-Modulation (1920)Television (th. 1930)Teletype (th.1930)Frequency Modulation (th.1930)PCM (th.1930)Vocoder (th.1930)Spread-spectrum (th.1930)

Page 4: teori informasi

Skema sistem komunikasi

Information source

transmitter

message signal

noise source

receiver

destination

message

received signal

Noise berasal dari lingkungan luar yang bersama-sama dengan sinyal data

W= K log mW: speed of transmission data was transmitted

K: Konstanta

m: number of curret value was transmitted

Page 5: teori informasi

W= K log m

H: the amount of information a was transmitted

S: number of possible symbols

n: number of symbols in transmission

H= log Sn

12KB transmitted

digitaldiscrete H

S n

Sn

H

Page 6: teori informasi

W= K log m

H: the amount of information a was transmitted

S: number of possible symbols

n: number of symbols in transmission

H= log Sn

12KB transmitted

digitaldiscrete H

S n

Sn

H

T RF(t)f1(t) f

2(t)

Page 7: teori informasi

Dalam Matematika Informasi menggunakan Shannon-Approach sbb:

Engineering

Mathematical Logic &

Abstract

Science

Page 8: teori informasi

X + Y = Y + XX.Y = Y.XX + (Y + Z) = (X + Y) + ZX(Y.Z) = (X.Y)ZX(Y + Z) = X.Y + X.ZX + Y.Z = (X+Y)(X+Z)1*X = X0*X = 01+X = 10+X = X

X + X’ = 1X.X’ = 00’ = 11’ = 0(X’)’ = X

circuit

terminal-A terminal-B

XAB

0 1‘closed’

(zero-impedance)‘opened’

(infinite-impedance)

Page 9: teori informasi

Case and example: