This document discusses properties of pseudorandom noise (PN) sequences. It defines PN sequences as deterministic binary sequences generated using a linear feedback shift register that exhibit statistical properties similar to random sequences. The key properties described are periodicity, balance, and low auto-correlation, which make PN sequences useful for applications like code division multiple access systems. Examples of applications discussed include spread spectrum communication, cryptography, and radar/sonar systems.

1. BANGALORE INSTITUTE OF TECHNOLOGY
K.R.ROAD ,V.V PURA , BANGALORE-560004
DEPARTMENT OF ELECTRONICS AND TELECOMMUNICATION
ENGINEERING
SUBJECT:WIRELESS COMMUNICATION LAB
TOPIC: GENERATION OF PN SEQUENCE PROPERTIES
GUIDED BY:
PROF.SHRUTHI.N
PRESENTED BY:PRAKRUTHI D S

2. PN Sequence Properties
In this presentation, we will explore the fascinating properties of PN
sequences and their applications. Get ready to dive into the captivating world
of pseudorandom numbers!

3. Definition of PN Sequence
A PN sequence is a deterministic binary sequence with a pseudorandom
appearance. It is generated using a linear feedback shift register (LFSR) and
exhibits statistical properties similar to those of random sequences.

4. Properties of PN Sequences
1 Periodicity
PN sequences have a
maximum period, which is
the length of the shift
register.
2 Balance
They have an equal
number of ones and
zeros within each period.
3 Auto-correlation
PN sequences have low
cross-correlation with
themselves, making them
useful for code division
multiple access (CDMA)
systems.

5. Periodicity of PN Sequences
PN sequences have a unique maximum period determined by the number of
stages in the LFSR. This property ensures that the sequence repeats itself
after a certain length, which is essential for their application in various fields
such as cryptography and spread spectrum communication systems.

6. Auto-correlation of PN
Sequences
The auto-correlation of PN sequences measures the similarity between a
sequence and its shifted version. High auto-correlation values indicate a
strong self-similarity, whereas low values imply a pseudorandom behavior.
This property makes PN sequences a fundamental tool in coding theory,
sequence design, and synchronization.

7. Cross-correlation of PN
Sequences
The cross-correlation of PN sequences determines the similarity between two
different sequences. Cross-correlation values close to zero indicate a low
similarity, making PN sequences ideal for reducing interference in
communications and optimizing signal processing algorithms.

8. Application of PN Sequences
Spread Spectrum
Communication
PN sequences are used to
spread the bandwidth of
signals, improving the
resistance to interference and
enhancing the security of
communication systems.
Cryptography
PN sequences form the basis
of keystream generators in
stream cipher algorithms,
ensuring secure data
encryption and decryption.
Radar and Sonar
PN sequences are employed in
radar and sonar systems for
target identification, range
measurement, and Doppler
shift compensation.

9. Conclusion
PN sequences are valuable in various fields due to their pseudorandom characteristics and unique properties.
Whether it's secure communication, coding theory, or signal processing, these sequences play a crucial role in
real-world applications. Exploit the power of PN sequences for enhanced functionality and robustness!

10. THANK YOU