A maximum-length LFSR Is a counter constructed from a shift regiater with feedback to the serial input arranged so that the shift register goes through a maximum aequence of states. For an N-bit register this can be ahown to be a maximum of 21 states. Such a counter is attractive because it involves very little complexity even for a quite large count. For example, a 32-bit counter only involves the shift-register and a single 4-input XOR-gate. 3-bit LFSR A 3-bit LFSR using the equationX Xis shown at right. The OR-gate (marked with ) can be used to force a 1 at Xa without upsetting the usual operation. kicker What happens if the counter is in an initial state of "000? Why is the kicker input necessary? Clock PRBS 3-bit maximum-length LFSR Xạ = X, e Xo Analyee the behaviour of circuit - R should not be necessary to use a state table. State Dlagram for 3-bit LFSR Draw the state diagram and determine the two possible sequences for the 3-bit LFSR assume kcker-0. Use this to complete the following timing diagram. dock
A maximum-length LFSR Is a counter constructed from a shift regiater with feedback to the serial input arranged so that the shift register goes through a maximum aequence of states. For an N-bit register this can be ahown to be a maximum of 21 states. Such a counter is attractive because it involves very little complexity even for a quite large count. For example, a 32-bit counter only involves the shift-register and a single 4-input XOR-gate. 3-bit LFSR A 3-bit LFSR using the equationX Xis shown at right. The OR-gate (marked with ) can be used to force a 1 at Xa without upsetting the usual operation. kicker What happens if the counter is in an initial state of "000? Why is the kicker input necessary? Clock PRBS 3-bit maximum-length LFSR Xạ = X, e Xo Analyee the behaviour of circuit - R should not be necessary to use a state table. State Dlagram for 3-bit LFSR Draw the state diagram and determine the two possible sequences for the 3-bit LFSR assume kcker-0. Use this to complete the following timing diagram. dock
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:A maximum-length LFSR is a counter constructed from a shift register with feedback to the serial input arranged so
that the shift register goes through a maximum sequence of states. For an N-bit reglster this can be shown to be a
maximum of 21 states. Such a counter is attractive because it involves very little complexity even for a quite large
count. For example, a 32-bit counter only involves the shift-register and a single 4-input XOR-gate.
3-biR LFSR
A 3-bit LFSR using the equation!X!exlis shown at
right. The OR-gate (marked with ) can be used to force a
1 at Xa without upsetting the usual operation.
kicker
What happens if the counter is in an initial state of "000?
Xa
Why is the kicker input necessary?
Clock
PRBS
3-bit maximum-length LFSR
X3 = X, e Xo
Analyse the behaviour of circuit - it should not be necessary to
use a state table.
State Dlagram for 3-bit LFSR
Draw the state diagram and determine the two possible
sequences for the 3-bit LFSR assume kicker=0.
Use this to complete the following timing diagram.
dock
XX,Xo
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