The paper deals with formal description of data transformation (compression and decompression process). We start by briefly reviewing basic concepts of data compression and introducing the model based approach that underlies most modern techniques. Then we present the arithmetic coding and Huffman coding for data compression, and finally see the performance of arithmetic coding. And conclude that Arithmetic coding is superior in most respects to the better-known Huffman method. As its performance is optimal without the need for blocking of input data. It also accommodates adaptive models easily and is computationally efficient.
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