Source Coding

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Encoding gAlgorithm g ( (based on the Kraft inequality) q y)

Assume 2

Let

l1 ≤ l ≤ L ≤ lq

( 1 ≤ i q)

−li

⎧ Si

+ 1 = Si

+ r <

⎨

⎩S1

= 0

⇒ Si < S j for

i

<

j

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Encoding gAlgorithm g ( (based on the Kraft inequality) q y) Assume 2 Let l1 ≤ l ≤ L ≤ lq ( 1 ≤ i q) −li ⎧ Si + 1 = Si + r < ⎨ ⎩S1 = 0 ⇒ Si < S j for i < j 12

i l r S S − + ⇒ i i i i i r S S ⇓ ⇓ + + = ⇒ + X X 1 1 i i of prefix a not is 1 + ⇒ X X i l (i) -l i i C to due changed be will since p 1 + i -l r of addition the 13

Page 1 and 2: Source Coding Prof. Ja-Ling Wu Depa
Page 3 and 4: ( i) ( i) message g X , X , , X ( i
Page 5 and 6: 01 { 1110 {{{ 1100 101 00 { 100 { u
Page 7 and 8: Only when = ⇒ = ⇒ − Ni n N H
Page 9 and 10: Theorem : Let a code have codeword
Page 11: C2 C3 C4 C5 S1 00 0 0 1 S2 01 10 01
Page 15 and 16: − ar ary nnumber mber representa
Page 17 and 18: Noise in Huffman coding Probabiliti
Page 19 and 20: the resort to we (2), and (1) , on
Page 21 and 22: Ex: p 1 = 0.4, p 2 = 0.2, p 3 = 0.2
Page 23: ) 2 2 3 ( 2 0 ) 2 2 2 ( 2 0 ) 2 2 1

Source Coding

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