It can be shown that a necessary and sufficient condition for the existence of an instantaneous binary
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This is known as the Kraft inequality. Show that the Kraft inequality is satisfied by the code words given in Table 12.3. (Note: The inequality given above must also be satisfied for uniquely decipherable codes.)
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2-li < 1 i=1 Table 12.3 Third-Order Source Extension Source symbol Symbol probability P(·) Code word P(:), AAA 0.729 1 0.729 AAB 0.081 100 0.243 0.081 0.081 ABA 101 3 0.243 BAA 110 3 0.243 11100 11101 ABB 0.009 5 0.045 BAB 0.009 5 0.045 BBA 0.009 0.001 11110 0.045 BBB 11111 5 0.005
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Related Book For
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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