Huffman tree coding greedy approach
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The document discusses Huffman tree coding, which is a variable-length encoding technique used for lossless data compression. It assigns variable-length codewords to input characters based on their frequency of occurrence, with more common characters represented by shorter codewords. The document provides an example of constructing a Huffman tree for an alphabet and encoding and decoding sample text strings using the generated Huffman codes.
Huffman tree coding greedy approach
- 1. Huffman Tree Coding Greedy Technique Dr. P. Subathra Prof/ IT KAMARAJ College of Engg. & Tech (AUTONOMOUS) Madurai Tamil Nadu India
- 2. Huffman Tree Coding • Encoding – In computer technology, encoding is the process of putting a sequence of characters into a special format for transmission or storage purposes. • Code Word – The special format that represents each character is called as the code word • Fixed Length Encoding – fixed-length encoding that assigns to each symbol a bit string of the same length m – Eg. ASCII codes • Variable Length Encoding – Variable-length encoding, which assigns codewords of different lengths to different symbols 2 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 3. Huffman Tree Coding • Encoding – In computer technology, encoding is the process of putting a sequence of characters into a special format for transmission or storage purposes. • Code Word – The special format that represents each character is called as the code word • Fixed Length Encoding – fixed-length encoding that assigns to each symbol a bit string of the same length m – Eg. ASCII codes • Variable Length Encoding – Variable-length encoding, which assigns codewords of different lengths to different symbols 3 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 4. Huffman Tree Coding • Encoding – In computer technology, encoding is the process of putting a sequence of characters into a special format for transmission or storage purposes. • Code Word – The special format that represents each character is called as the code word • Fixed Length Encoding – fixed-length encoding that assigns to each symbol a bit string of the same length m – Eg. ASCII codes • Variable Length Encoding – Variable-length encoding, which assigns codewords of different lengths to different symbols 4 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 6. Huffman Tree Coding Frequency of Occurrence of English Alphabets 6 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 7. Huffman Tree Coding • Encoding – In computer technology, encoding is the process of putting a sequence of characters into a special format for transmission or storage purposes. • Code Word – The special format that represents each character is called as the code word • Fixed Length Encoding – fixed-length encoding that assigns to each symbol a bit string of the same length m – Eg. ASCII codes • Variable Length Encoding – Variable-length encoding, which assigns codewords of different lengths to different symbols 7 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 8. Huffman Tree Coding • Variable-length encoding assigns codewords of different lengths to different symbols • Eg. E →1 A→ 10 P→ 101 Q→ 1010 • How to decode: 110101 ? • How can we tell how many bits of an encoded text represent the first ? 8 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 9. Huffman Tree Coding • We can limit ourselves to the so-called prefix-free (or simply prefix) codes. • In a prefix code, no codeword is a prefix of a codeword of another symbol. • Eg. E →10 A→ 01 P→ 110 • How to decode: 101100110 ? • 10 110 01 10 → E P A E 9 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 10. Huffman Tree Coding Consider the five-symbol alphabet { A, B, C, D, _ } with the following occurrence frequencies in a text made up of these symbols: Create a Huffman Tree and Generate the Huffman Code. 10 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 11. Huffman Tree Coding 11 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 12. Huffman Tree Coding 12 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 13. Huffman Tree Coding 13 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 14. Huffman Tree Coding 14 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 15. Huffman Tree Coding 15 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 16. Huffman Tree Coding 16 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 19. Huffman Tree Coding 19 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 20. Huffman Tree Coding 20 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 23. Huffman Tree Coding 23 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 24. Huffman Tree Coding 24 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 25. Huffman Tree Coding 25 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 26. Huffman Tree Coding 26 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 27. Huffman Tree Coding 27 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 28. Huffman Tree Coding 28 Character Code A B C D - Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 29. Huffman Tree Coding 29 Character Code A 11 B C D - Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 30. Huffman Tree Coding 30 Character Code A 11 B 100 C D - Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 31. Huffman Tree Coding 31 Character Code A 11 B 100 C 00 D - Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 32. Huffman Tree Coding 32 Character Code A 11 B 100 C 00 D 01 - Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 33. Huffman Tree Coding 33 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 34. Huffman Tree Coding Encode: “DAD CAB” D A D C A B 34 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 35. Huffman Tree Coding Encode: “DAD CAB” D A D C A B 100 35 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 36. Huffman Tree Coding Encode: “BAD CAB” B A D C A B 100 11 36 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 37. Huffman Tree Coding Encode: “BAD CAB” B A D C A B 100 11 01 37 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 38. Huffman Tree Coding Encode: “BAD CAB” B A D C A B 100 11 01 101 38 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 39. Huffman Tree Coding Encode: “BAD CAB” B A D C A B 100 11 01 101 00 39 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 40. Huffman Tree Coding Encode: “BAD CAB” B A D C A B 100 11 01 101 00 11 40 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 41. Huffman Tree Coding Encode: “BAD_CAB” B A D _ C A B 100 11 01 101 00 11 100 41 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 42. Huffman Tree Coding Decode: 10011011010011100 42 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 43. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B 43 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 44. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A 44 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 45. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A D 45 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 46. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A D _ 46 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 47. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A D _ C 47 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 48. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A D _ C A 48 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 49. Huffman Tree Coding Decode: 100 11 01 101 00 11 100 B A D _ C A B 49 Character Code A 11 B 100 C 00 D 01 - 101 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 50. Huffman Tree Coding 50 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India