Problem 3. (a) Consider the following two PN sequence generators of length L = 5. Starting from the initial state 0,0,0,0,1 shown, generate the output yn for one period of the output sequence. Ideally, the period is 2² - 1 = 31 but one of the two generators shown uses an irreducible, but not primitive generator polynomial, so the period will be shorter. (b) Convert the two 0,1 PN sequences yn to +1 sequences and take the DFT of one period. Plot the magnitudes and the phases of the two DFTs and comment on the differences. y, [n] y₂[n] 0|0|0|0 10/0/0/0/1

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Problem 3. (a) Consider the following two PN sequence generators of length L = 5. Starting from the initial
state 0,0,0,0,1 shown, generate the output yn for one period of the output sequence. Ideally, the period is
2² - 1 = 31 but one of the two generators shown uses an irreducible, but not primitive generator
polynomial, so the period will be shorter.
(b) Convert the two 0,1 PN sequences yn to +1 sequences and take the DFT of one period. Plot the
magnitudes and the phases of the two DFTS and comment on the differences.
y, [n]
y₂ [n]
0 0/0/0 1
O
0/0/0/1
Transcribed Image Text:Problem 3. (a) Consider the following two PN sequence generators of length L = 5. Starting from the initial state 0,0,0,0,1 shown, generate the output yn for one period of the output sequence. Ideally, the period is 2² - 1 = 31 but one of the two generators shown uses an irreducible, but not primitive generator polynomial, so the period will be shorter. (b) Convert the two 0,1 PN sequences yn to +1 sequences and take the DFT of one period. Plot the magnitudes and the phases of the two DFTS and comment on the differences. y, [n] y₂ [n] 0 0/0/0 1 O 0/0/0/1
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