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Introduction to Experiment 5 Programmable PRNG

Introduction to Experiment 5 Programmable PRNG. 4. D. Q. ena. coeff. 8. 4. D. Q. 2. ena. PRNG. 0. 8. 1. out put. 2. seed. 4. D. Q. 3. ena. 2. address. 4. data. 4. D. Q. ena. w rite. clk. load. reset. seed(7..4). coeff(7..4). coeff(3..0). seed(3..0).

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Introduction to Experiment 5 Programmable PRNG

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  1. Introduction to Experiment 5 Programmable PRNG

  2. 4 D Q ena coeff 8 4 D Q 2 ena PRNG 0 8 1 output 2 seed 4 D Q 3 ena 2 address 4 data 4 D Q ena write clk load reset

  3. seed(7..4) coeff(7..4) coeff(3..0) seed(3..0) PRNG 7..4 PRNG 3..0 1 0 coeff(7..4)="0000" clk load 2 PRNG clk load output

  4. Linear Feedback Shift Register (LFSR) Each stage = D flip-flop  L, C(D)  Length Connection polynomial, C(D) C(D) = 1 + c1D + c2D2 + . . . + cLDL

  5. Sj-1 Sj-2 Sj-(L-1) Sj-L Initial state [sL-1, sL-2, . . . , s1, s0] LSFR recursion: sj = c1sj-1 c2sj-2 . . .  cL-1sj-(L-1) cLsj-L for j  L

  6. Example of LFSR  4, 1+D+D4 Length Connection polynomial, C(D) C(D) = 1 + 1D + 0D2 + 0D3 +1D4 c1=1 c2=0 c4=1 c3=0

  7. LFSR State Sequence s4 s3 s2 s1 s0 s4 = c1s3c2s2 c3s1  c4s0 = s3 s0

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