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 equation X!OXis 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 initlal state of "000? X2 Why is the kicker' input necessary? Clook PRBS 3-bit maximum-length LFSR Xạ = X, Xo Analyse the behaviour of circuit - k should not be necessary to use a atate table. State Dlagram for 3-bit LFSR Draw the state diagram and detemine the two possible sequences for the 3-bit LFSR assume kcker-0. Use this to complete the following timing diegram. 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 equation X!OXis 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 initlal state of "000? X2 Why is the kicker' input necessary? Clook PRBS 3-bit maximum-length LFSR Xạ = X, Xo Analyse the behaviour of circuit - k should not be necessary to use a atate table. State Dlagram for 3-bit LFSR Draw the state diagram and detemine the two possible sequences for the 3-bit LFSR assume kcker-0. Use this to complete the following timing diegram. dock
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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X3, X1, X0 written in the boxes if not visible.
Please do asap
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5be39fd-503c-497b-88bc-c8120aaf6358%2F49b8c549-1385-43f2-bae5-369f611851dd%2F8nll2wt_processed.jpeg&w=3840&q=75)
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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