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PN sequences

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lightbulbAbout this topic
PN sequences, or Pseudonoise sequences, are deterministic sequences that appear random and are used in various applications such as spread spectrum communication and signal processing. They are generated by linear feedback shift registers and possess properties like good autocorrelation and cross-correlation, making them suitable for multiple access and noise-resistant communication systems.
lightbulbAbout this topic
PN sequences, or Pseudonoise sequences, are deterministic sequences that appear random and are used in various applications such as spread spectrum communication and signal processing. They are generated by linear feedback shift registers and possess properties like good autocorrelation and cross-correlation, making them suitable for multiple access and noise-resistant communication systems.

Key research themes

1. How can combinatorial and algebraic structures of PN-related sequences inform new sequence constructions and combinatorial interpretations?

This theme explores the combinatorial interpretations and algebraic characterizations of sequences related to PN sequences, including generalized Padovan sequences and polynomial sequences attached to polygon vertices. Understanding these structures yields new methods to visualize, generate, or extend such sequences via combinatorial boards, tiling, or polygonal vertex assignments, which relate fundamentally to recursive definitions typical of PN sequences.

Key finding: The paper establishes a novel combinatorial interpretation for the Padovan sequence and its generalizations by representing sequence terms as counts of tiling configurations on n-boards using specific tile shapes (1×1 black... Read more
Key finding: This work introduces sequences defined by placing Pell, Pell-Lucas, Jacobsthal, and Jacobsthal-Lucas polynomials at vertices of n-gons in a clockwise manner, deriving recurrence relations linking polynomial terms assigned to... Read more
Key finding: The study investigates the solutions to Diophantine equations equating generalized k-Pell numbers with Padovan and Perrin numbers, identifying finite intersections of these sequences and characterizing them precisely via... Read more
Key finding: Focusing on the Padovan sequence defined by T_{n+3} = T_{n+1} + T_{n}, the paper studies divisibility properties, periodicity modulo primes, and identities of the sequence by leveraging algebraic number theory and finite... Read more

2. What are the comparative autocorrelation and structural properties of PN sequences relative to complementary and de Bruijn sequences in signal processing?

This area covers analytical and empirical investigations comparing PN sequences with other well-known sequence families (Golay complementary sequences, de Bruijn sequences, multi de Bruijn sequences) in terms of autocorrelation properties, spectral flatness, generation methods, and application relevance, especially for communication, cryptography, and watermarking systems. The theme highlights how PN sequences measure up, their advantages, limitations, and how related sequence families can sometimes offer superior performance or structural benefits.

Key finding: This paper demonstrates that Golay complementary sequences exhibit equal or superior autocorrelation properties compared to PN sequences, specifically possessing sidelobes with root-mean-square values comparable or better... Read more
Key finding: The study establishes that multi de Bruijn sequences, generalizations of classical de Bruijn sequences where each k-mer appears multiple times, can be systematically generated via the cross-join method starting from ordinary... Read more
Key finding: This work presents unified constructions of periodic binary sequence ensembles, such as small Kasami and Kamaletdinov ensembles, derived from sequences produced by shift-register feedback polynomials generalizing PN... Read more
Key finding: The authors develop binary and ternary array families with low periodic autocorrelation and cross-correlation via composition methods using cyclic shift sequences applied to pseudonoise column sequences (Sidelnikov sequences... Read more

3. How can PN sequences and related spread spectrum sequences be efficiently synthesized and utilized in high-speed communication and secure multimedia transmission systems?

This theme investigates architectures, algorithms, and encryption methods leveraging PN sequences for rapid signal acquisition in Doppler-affected DSSS communication, image encryption compatible with JPEG standards, and practical modulation schemes for CDMA. It centers on hardware-friendly designs and cryptographic constructions that preserve compression ratios and maintain robustness against interference and unauthorized interception, reflecting the operational importance of PN sequence properties and synthesis in modern communication and multimedia security.

Key finding: This paper presents a FPGA-optimized architecture combining differential signal correlation and FFT-based Doppler estimation for rapid PN code phase delay and carrier synchronization in ground-to-air missile communication... Read more
Key finding: The study introduces a JPEG-compliant image encryption scheme embedding fuzzy PN sequences at various JPEG pipeline stages—confusing modified DCT blocks, converting DCT coefficients to uncorrelated symbols encrypted with... Read more
Key finding: The work demonstrates generation and application of Gold Code sequences in CDMA spread spectrum communication systems, including modulation and demodulation of message signals. It analyzes cross-correlation properties... Read more

All papers in PN sequences

We introduce a construction for perfect periodic autocorrelation sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of Liu, Frank, and Milewski.
With the fast progress of electronic data exchange, information security was become more important in data storage and transmission. And because of widely use of images in industrial process, it is important to protect the confidential... more
We introduce a construction for perfect periodic autocorrelation sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of Liu, Frank, and Milewski.
This paper presents three new sets of frequency hopping sequences, which are converted into sequences for CDMA. One of the CDMA sequence families is optimal with respect to the Welch bound, and two are nearly optimal. Our sequences are... more
We introduce a construction for periodic zero correlation zone (ZCZ) sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of Liu, Frank, and Milewski. The sequences have two... more
Linear complexity is an important parameter for arrays that are used in applications related to information security. In this work we survey constructions of two and three dimensional arrays, and present new results on the... more
In this work we present two generators for the group of symmetries of the generic (m + 1) dimensional periodic Costas arrays over elementary abelian (Zp) m groups: one that is defined by multiplication on m dimensions and the other by... more
This paper describes the synthesis of matrices with good correlation, from cyclic shifts of pseudonoise columns. Optimum matrices result whenever the shift sequence satisfies the constant difference property. Known shift sequences with... more
This paper generalizes three constructions of families of sequences with bounded off peak correlation with application to Code Division Multiple Access (CDMA), frequency hopping, and Ultra Wide Band (UWB). These new families present... more
This chapter presents an adaptive Multicarrier Frequency Hopping Spread Spectrum (MCFH-SS) system employing proposed Quasi Cyclic Low Density Parity Check (QC-LDPC) codes instead of the conventional LDPC codes. A new technique for... more
Frequency hopping (FH) is a spread spectrum transmission technique that achieves frequency diversity gain over frequency selective fading channels and also has a low probability of interception. This technique has been widely used in... more
The recent explosion in multimedia and networking application places a great demand on efficient transmission of images at low bit rate with high security. Mixing several existing standard encryption techniques with image encoding tends... more
Multimedia is one of the most popular data shared in the Web, and the protection of it via encryption techniques is of vast interest. In this paper, a secure and computationally feasible Algorithm called Optimized Multiple Huffman Tables... more
The authors propose a framework to encrypt Baseline JPEG files directly at bitstream level, i.e., without the need to recompress them. The authors’ approach enables encrypting more than 25 pictures per second in VGA resolution, allowing... more
Based on two methods recently proposed-the 'Ranging Criterion' (RC) and the 'Generators Ranging Criterion' (GRC)-new (quasi-orthogonal) even BCH-derived sequences are generated which are very attractive for synchronous or... more
This paper focuses on Spread Spectrum technique and its interference mitigation feature as applied in wireless communication. With spread spectrum technology it is possible to implement the transmission of multiple signals over wider... more
The need for protecting a huge amount of digital images on the internet has become an important requirement against different kind of attacks in order to insure transmitted process in a secure way. Cryptography introduces many security... more
Families of sequences with low off-peak autocorrelation and low crosscorrelation are highly valued in spread-spectrum communication. Digital watermarking has an equal need for diverse families of orthogonal multi-dimensional (nD) arrays,... more
Multimedia is one of the most popular data shared in the Web, and the protection of it via encryption techniques is of vast interest. In this paper, a secure and computationally feasible Algorithm called Optimized Multiple Huffman Tables... more
Based on two methods recently proposed-the 'Ranging Criterion' (RC) and the 'Generators Ranging Criterion' (GRC)-new (quasi-orthogonal) even BCH-derived sequences are generated which are very attractive for synchronous or... more
In the satellite telemetry command, controlling the power of the uplink signal, radiated away from the Earth to the spacecraft and downlink signal, radiated toward the Earth form the spacecraft is very important. The Uplink is transmitted... more
This paper generalizes three constructions of families of sequences with bounded off peak correlation with application to Code Division Multiple Access (CDMA), frequency hopping, and Ultra Wide Band (UWB). These new families present... more
In this paper, we have implemented Radar Transmitter-Receiver. Direct Sequence Spread Spectrum BPSK is chosen as modulation method because of its numerous advantages like accuracy of ranging, sensitivity, targetseparation, accuracy of... more
— Based on two recently proposed methods in the literature − the “Ranging Criterion ” and the “Generators Ranging Criterion ” − new (quasi-orthogonal) even BCH-derived sequences are generated, which are very attractive for (synchronous or... more
The easiness of data-flow in digital media, seriously claims the ownership of intellectual material. To solve this problem, researchers have worked on different watermarking methods to embed ownership data into original signals.... more
This paper presents new constructions of families of binary and ternary arrays with low off-peak (periodic) autocorrelation and low cross-correlation for application to video watermarking. The constructions are based on the composition... more
In a DS-SS system, each user is assigned a unique code sequence (PN-Sequence) that allows the user to spread the information signal across the assigned frequency band. Signals from the various users are separated at the receiver by cross... more
This paper presents new constructions of families of binary and ternary arrays with low off-peak (periodic) autocorrelation and low cross-correlation for application to video watermarking. The constructions are based on the composition... more
Families of sequences with low periodic off peak autocorrelation and low periodic crosscorrelation are important in wireless communications, radar, sonar and audio watermarking. Families of such two and three-dimensional arrays find... more
This paper proposes and investigates a spread spectrum (SS) system which can realize both ranging and communication between a vehicle and a roadside. In order to improve performance of ranging and communication, we propose schemes of... more
— In this paper, we have implemented Radar
This paper presents a new method, of recompressing a JPEG crypto-compressed image. In this project, we propose a cryptocompression method which allows recompression without any information about the encryption key. The recompression can... more
Image encryption in frequency domain has an advantatge of resistance to many image processing operations. This paper presents a robustness analysis of a proposed selective image encryption algorithm based on chaos. The cipher-images was... more
Salah satu kelebihan utama sistem komunikasi Spread Spectrum adalah kemampuannya mengirimkan data informasi disertai kode-kode unik sehingga hanya perangkat penerima tertentu saya yang mampu mendeteksinya. Sangat banyak metode... more
Pseudo-Random or pseudo-noise and Orthogonal Spreading sequences are widely used in the Wideband Code Division Multiple Access (WCDMA) systems using Rake receiver. This paper shows the practical aspect for direct sequences DSCDMA and also... more
The rising popularity of social networks and cloud computing has greatly increased number of JPEG compressed image exchanges. In this context, the security of the transmission channel and/or the cloud storage can be susceptible to privacy... more
The JPEG Images play a significant role in present multimedia based computing industry. Being a popular lossy mode of image compression, The JPEG has extensively been being used in almost all sorts of digital device including the mobile... more
Frequency hopping (FH) is a spread spectrum transmission technique that achieves frequency diversity gain over frequency selective fading channels and also has a low probability of interception. This technique has been widely used in... more
Single sequences like Legendre have high linear complexity. Known CDMA families of sequences all have low complexities. We present a new method of constructing CDMA sequence sets with the complexity of the Legendre from new frequency hop... more
This thesis work studied on digital image encryption algorithms performed towards JPEG images. With image encryption algorithms, JPEG images can be securely scrambled or encrypted prior to distribution. The intended recipient will be... more
Multimedia is one of the most popular data shared in the Web, and the protection of it via encryption techniques is of vast interest. In this paper, a secure and computationally feasible Algorithm called Optimized Multiple Huffman Tables... more
This paper focuses on Spread Spectrum technique and its interference mitigation feature as applied in wireless communication. With spread spectrum technology it is possible to implement the transmission of multiple signals over wider... more
This paper focuses on Spread Spectrum technique and its interference mitigation feature as applied in wireless communication. With spread spectrum technology it is possible to implement the transmission of multiple signals over wider... more
This paper focuses on Spread Spectrum technique and its interference mitigation feature as applied in wireless communication. With spread spectrum technology it is possible to implement the transmission of multiple signals over wider... more
This paper presents the code-phase multiplexed direct-sequence spread spectrum signaling system, which employs parallel transmissions of several data streams modulated by different phase shifts of the same pseudo-noise (PN) code. System... more
Multimedia is one of the most popular data shared in the Web, and the protection of it via encryption techniques is of vast interest. In this paper, a secure and computationally feasible Algorithm called Optimized Multiple Huffman Tables... more
In this paper we proposed the Frequency Hopping Code Division Multiple Access (FH/CDMA) Scheme. In order to improve the spreading process of the spread spectrum modulation system, the conventional pseudo-random code has been replaced by... more
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