By Ida Mengyi Pu
Primary info Compression offers the entire info scholars have to be capable of use this crucial expertise of their destiny careers. a massive, energetic examine box, and part of many people's daily lives, compression expertise is an important a part of modern day machine technology and digital Engineering classes. With assistance from this ebook, scholars can achieve a radical figuring out of the underlying thought and algorithms, in addition to particular concepts utilized in a number of situations, together with the appliance of compression strategies to textual content, nonetheless pictures, video and audio. useful routines, tasks and examination questions toughen studying, in addition to feedback for additional examining. * committed facts compression textbook to be used on undergraduate classes* offers crucial wisdom for modern-day web/multimedia functions* available, good dependent textual content sponsored up via huge routines and pattern examination questions
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Additional info for Fundamental Data Compression
To minimise the average number of bits Ann uses to communicate her symbol to Bob, should she assign a fixed length code or a variable length code to the symbols? C H A P T E R 2. CODING S Y M B O L I C DATA 40 2. What is the average number of bits needed for Ann to communicate her symbol to Bob? 3. What is meant by a 0 entropy? For example, what is meant if the probabilities associated with the alphabet are (0, O, 1 , . . , 0)? You give Ann the following solutions. Solutions 1. Ann should use a variable length code because she is likely to use some symbols more frequently than others.
The word data in the context of d a t a compression includes any digital form of factual information t h a t can be processed by a computer program. The data before any compression process are called the source data, or the source for short. 19 CHAPTER 2. CODING SYMBOLIC DATA 20 Examples of factual information may be classified broadly as text, audio, image and video. Many application programs adopt the information type as their data file type for convenience. Hence data may also be classified as text, audio, image and video while the real digital data format consists of 0s and ls in a binary format.
In other words, a code is optimal if the average length of the codewords equals the entropy of the source. 22 Consider a source alphabet S - (A, B, C, D) with probability ~ s, ~ s1). Suppose a prefix code C - (0 , 10 , 110 , 111) is distribution 7 ) - ( 2 , ~, recommended. Comment on the eLficiency of the code. S o l u t i o n It is easy to check the code efficiency. We first write the lengths of the codewords s = (1, 2, 3, 3). 5. 75 bits H - -Ep j=l Therefore, the prefix code is optimal as the code efficiency is 100%.