Method of Encoding Binary Data
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages
Method of Encoding Binary Data
Run-length coding is a popular method of encoding binary data when the probabilities of the binary symbols are fairly disparate. Assume a memory less binary source with probabilities p (0) = 0.9, p (1) = 0.1. The encoding of this source is done in two stages, first counting the number of zeros between successive ones in the source output and then encoding these run-lengths into binary code words by a Huffman code. The first stage of encoding maps the source segments into a sequence of decimal run-lengths of zeros by the following table.
Thus, the sequence 100100000000110001 is mapped as
We will assume that all source sequences end in 1. Note that all possible source segments may be composed from those occurring in the table.
Calculate the average number of source digits per run length digit.
Determine the Huffman code for the run lengths.
Calculate the average length of the Huffman code for the run lengths.
What is the average compression ratio, that is, the ratio of the average number of source digits to average number of (binary) code word digits?
Method of Encoding Binary Data
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