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Pseudocode:

Pseudocode is an english like way to state an algorithm.

Simple problem:

1) Determine the sum, average and product of three numbers.

2) We can solve this by writing out steps

3) Then we can then convert these steps to code

Optimal_encoding algorithm:

- The degree of compression (size of compressed data is)

- Where f( ch ) is the frequency of ‘ch’ and d( ch ) is the number of bits in its code

Example : Illustration of codeword generation in Huffman coding

This figure show the Huffman coding here L = 6 having the probability for every message possibility noted at each node. 

Huffman coding:

(5 / 8)1 + (3 / 32)3 + (3 / 32)3 + (1 / 32) - 4 + (1 / 8)3 + (1 / 32) - 4

= (29 / 16) bits / message

= (1.813) bits / message

Application of Huffman tree: 

1) To obtain an optimal set of codes for symbols

2) Which constitute messages. Each code is a binary string (combinations of 0's and 1's) which will be used for transmission of messages.

3) Fixed length coding

4) Variable length coding

Huffman Code Data Structures

Binary (Huffman) Tree

     - Represents Huffman code

     - Edge = code(‘0’ or ‘1’)

     - Leaf =  symbol

     - Path to leaf = encoding

     - Example: A = ( 110 ), B = ( 10 ), C= ( 0 )

Priority Queue

       - To efficiently build binary tree