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ECE354 S'09 hw6 - sol

# ECE354 S'09 hw6 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY...

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NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT. OF ELECTRICAL & COMPUTER ENGINEERING ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 DIGITAL TEST S OLUTION HW6 1. The test generator is: Fig. 1 The test generator G1 G2 G3 G4 To A To B To C To D The equations governing the state progression are: 3 4 2 3 1 2 4 3 1 G Old G New G Old G New G Old G New G Old G Old G New = = = = The input vectors are: Ck G1 G2 G3 G4 Comment 0 0 0 0 1 Initial seed 1 1 0 0 0 2 0 1 0 0 3 0 0 1 0 4 1 0 0 1 5 1 1 0 0 6 0 1 1 0 7 1 0 1 1 8 0 1 0 1 9 1 0 1 0 10 1 1 0 1 11 1 1 1 0 12 1 1 1 1 13 0 1 1 1 14 0 0 1 1 15 0 0 0 1 Initial state repeated One full cycle is shown shaded in the above table. Since a full cycle is composed of 15 1 2 4 = - patterns, the LFSR’s connection constitute a primitive polynomial. 2. We first compute the output sequence generated by the test vectors computed in Pb. 1. 1

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We use the output function CD B A F + + = , computed in HW1, to fill out the following table. The data compressor is: S1 S2 S3 Fig. 2 The data compressor From F The state equations governing the LFSR’s state progression are: 2 3 1 2 3 2 1 S
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