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Zadoff-Chu (ZC) sequences are an important manifestation of spread spectrum in modern cellular systems, including LTE and 5G NR. They have to some extent displaced PN and Walsh sequences which were the mainstays of 3G cellular (WCDMA and…

Information Theory · Computer Science 2025-04-23 Jeffrey G. Andrews

The autocorrelation of a Zadoff-Chu (ZC) sequence with a non-zero cyclically shifted version of itself is zero. Due to the interesting property, ZC sequences are widely used in the LTE air interface in the primary synchronization signal…

Information Theory · Computer Science 2016-04-07 Md Mashud Hyder , Kaushik Mahata

Timing detection is the first step and very important in wireless communication systems. Timing detection performance is usually affected by the frequency offset. Therefore, it is a challenge to design the synchronization signal in massive…

Signal Processing · Electrical Eng. & Systems 2017-10-02 Jun Zou

This paper is a compilation of well-known results about Zadoff-Chu sequences, including all proofs with a consistent mathematical notation, for easy reference. Moreover, for a Zadoff-Chu sequence $x_u[n]$ of prime length $N_{\text{ZC}}$ and…

Signal Processing · Electrical Eng. & Systems 2023-11-03 David Gregoratti , Xavier Arteaga , Joaquim Broquetas

The main challenges of distributed MIMO systems lie in achieving highly accurate synchronization and ensuring the availability of accurate channel state information (CSI) at distributed nodes. This paper analytically examines the effects of…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Kumar Sai Bondada , Daniel Jakubisin , R. Michael Buehrer

Much of the engineering behind current wireless systems has focused on designing an efficient and high-throughput downlink to support human-centric communication such as video streaming and internet browsing. This paper looks ahead to…

Signal Processing · Electrical Eng. & Systems 2024-12-06 Sandesh Rao Mattu , Imran Ali Khan , Venkatesh Khammammetti , Beyza Dabak , Saif Khan Mohammed , Krishna Narayanan , Robert Calderbank

There has been extensive research on large scale multi-user multiple-input multiple-output (MU-MIMO) systems recently. Researchers have shown that there are great opportunities in this area, however, there are many obstacles in the way to…

Information Theory · Computer Science 2018-01-29 Mehdi Ganji , Hamid Jafarkhani

We propose an algorithm based on Zadoff-Chu (ZC) sequences and time-frequency images (TFI) to achieve drone remote identification (RID). Specifically, by analyzing the modulation parameters and frame structures of drone ratio-frequency (RF)…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Jie Li , Jing Li , Lu Lv , Peixin Zhang , Fengkui Gong

Ultra-high-resolution target sensing has emerged as a key enabler for various cutting-edge applications, which can be realized by utilizing the millimeter wave/terahertz frequencies. However, the extremely high operating frequency…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Fan Zhang , Tianqi Mao , Zhaocheng Wang

A wireless acoustic sensor network records audio signals with sampling time and sampling rate offsets between the audio streams, if the analog-digital converters (ADCs) of the network devices are not synchronized. Here, we introduce a new…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-26 Tobias Gburrek , Joerg Schmalenstroeer , Reinhold Haeb-Umbach

In wireless communications systems, the user equipment (UE) transmits a random access preamble sequence to the base station (BS) to be detected and synchronized. In standardized cellular communications systems Zadoff-Chu sequences has been…

Information Theory · Computer Science 2021-10-07 Jafar Mohammadi , Gerhard Schreiber , Thorsten Wild , Yejian Chen

We present a novel framework for line-of-sight (LoS) delay-Doppler (DD) estimation in dense scattering propagation environments. We present two time-frequency (TF) domain pilot sequences inspired by the Zadoff-Chu sequence that exhibit…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Aadarsh Devanand , Praful D. Mankar

The widely used Zadoff-Chu sequence (ZC sequence) for random access preamble in 5G has limitations in terms of the total number of preambles generated, forcing the reuse of preambles. Hence, the probability of collision of preambles of UEs…

Information Theory · Computer Science 2022-04-12 Sagar Pawar , Lokesh Bommisetty , T. G. Venkatesh

A novel joint symbol timing and carrier frequency offset (CFO) estimation algorithm is proposed for reduced-guard-interval coherent optical orthogonal frequency-division multiplexing (RGI-CO-OFDM) systems. The proposed algorithm is based on…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Oluyemi Omomukuyo , Deyuan Chang , Jingwen Zhu , Octavia Dobre , Ramachandran Venkatesan , Telex Ngatched , Chuck Rumbolt

Recent studies show indication of the effectiveness of synchronization as a data assimilation tool for small or meso-scale forecast when less number of variables are observed frequently. Our main aim here is to understand the effects of…

Chaotic Dynamics · Physics 2015-03-19 Md. Nurujjaman , Sumanth Shivamurthy , Amit Apte , Tanu Singla , P. Parmananda

Having established that Zadoff-Chu (ZC) sequences are inherently linear micro-frequency hopping (lmFH) symbols, this paper first presents an intuitive and visual exposition of the computation of the DFT and IDFT of ZC sequences using the…

Information Theory · Computer Science 2025-08-01 Fanping Du

In NR-based Access to Unlicensed Spectrum (NR-U) of 5G system, to satisfy the rules of Occupied Channel Bandwidth (OCB) of unlicensed spectrum, the channels of PRACH and PUCCH have to use some sequence repetition mechanisms in frequency…

Information Theory · Computer Science 2022-01-04 Yajun Zhao , Juan Liu , Saijin Xie

We propose a dim and small target detection algorithm for drone broadcast frames based on the time-frequency analysis of communication protocol. Specifically, by analyzing modulation parameters and frame structures, the prior knowledge of…

Signal Processing · Electrical Eng. & Systems 2025-06-24 Jie Li , Jing Li , Zhanyu Ju , Fengkui Gong , Lu Lv

In wireless communication systems, Orthogonal Frequency-Division Multiplexing (OFDM) includes variants using either a cyclic prefix (CP) or a zero padding (ZP) as the guard interval to avoid inter-symbol interference. OFDM is ideally suited…

Signal Processing · Electrical Eng. & Systems 2020-08-18 Koosha Pourtahmasi Roshandeh , Mostafa Mohammadkarimi , Masoud Ardakani

Physical-layer Network Coding (PNC) makes use of the additive nature of the electromagnetic (EM) waves to apply network coding arithmetic at the physical layer. With PNC,the destructive effect of interference in wireless networks is…

Networking and Internet Architecture · Computer Science 2010-01-05 Shengli Zhang , Soung-Chang Liew , Hui Wang
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