It can be shown that a necessary and sufficient condition for the existence of an instantaneous binary code with word lengths I i , 1 curren i curren N, is 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 gi...

It can be shown that a necessary and sufficient condition for the existence of an instantaneous binary

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It can be shown that a necessary and sufficient condition for the existence of an instantaneous binary code with word lengths I_i, 1 ‰¤ i ‰¤ N, is

2-li < 1 i=1

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.)

Table 12.3 Third-Order Source Extension Source symbol Symbol probability P(·) Code word P(:), AAA 0.729 1 0.729 AAB 0.0

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Oct 01, 2018 08:26 AM

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It can be shown that a necessary and sufficient condition for the existence of an instantaneous binary

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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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Principles of Communications Systems, Modulation and Noise

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