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Keywords = PMCW

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20 pages, 1400 KB  
Article
Unfolded RPCA Network for Mitigating Inter-Transmitter Code Interference in MIMO PMCW Systems
by Yonghee Lee, Jong-Ho Lee and Seongwook Lee
Sensors 2026, 26(11), 3316; https://doi.org/10.3390/s26113316 - 23 May 2026
Viewed by 265
Abstract
Phase-modulated continuous wave (PMCW) has emerged as a promising waveform candidate for next-generation integrated sensing and communication systems due to its favorable sensing performance and multiplexing capability. In multiple-input and multiple-output (MIMO) PMCW systems, fast-time code-division multiplexing enables simultaneous transmission from multiple transmitters [...] Read more.
Phase-modulated continuous wave (PMCW) has emerged as a promising waveform candidate for next-generation integrated sensing and communication systems due to its favorable sensing performance and multiplexing capability. In multiple-input and multiple-output (MIMO) PMCW systems, fast-time code-division multiplexing enables simultaneous transmission from multiple transmitters but causes inter-transmitter code interference due to non-ideal cross-correlation properties. The interference is observed to manifest as a low-rank component in the range–Doppler domain while target echoes appear as sparse components. This structural distinction motivates the use of robust principal component analysis (RPCA) for interference mitigation. In practice, conventional RPCA incurs high computational complexity due to the singular value decomposition (SVD) required at every iteration. To address this limitation, we propose an unfolded RPCA network in which each iterative step is mapped to a network stage and SVD is replaced by a factorized low-rank approximation. The proposed network also incorporates stage-wise learnable parameters for adaptive interference mitigation in MIMO PMCW systems. Simulation results demonstrate that the proposed method achieves interference mitigation performance comparable to conventional RPCA with 21.2 times lower inference latency. These results confirm the effectiveness and computational efficiency of the proposed method for real-time mitigation of inter-transmitter code interference in MIMO PMCW systems. Full article
(This article belongs to the Section Radar Sensors)
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19 pages, 1799 KB  
Article
Nonlinear Stepped-Frequency MIMO PMCW Radar Systems with High Range Resolution Under Low Sampling Rates
by Chanul Park, Jeong-Hoon Park and Seongwook Lee
Remote Sens. 2026, 18(10), 1576; https://doi.org/10.3390/rs18101576 - 14 May 2026
Viewed by 213
Abstract
Phase-modulated continuous-wave (PMCW) radar systems are gaining interest for autonomous sensing. However, high range resolution typically demands prohibitively high sampling rates and computational loads. To address this issue, we propose a novel nonlinear stepped-frequency PMCW (NSF-PMCW) radar system. The proposed NSF-PMCW radar system [...] Read more.
Phase-modulated continuous-wave (PMCW) radar systems are gaining interest for autonomous sensing. However, high range resolution typically demands prohibitively high sampling rates and computational loads. To address this issue, we propose a novel nonlinear stepped-frequency PMCW (NSF-PMCW) radar system. The proposed NSF-PMCW radar system periodically transmits sequences whose carrier frequency varies nonlinearly over time, and the associated signal processing method synthesizes a wide effective bandwidth by processing and coherently summing these frequency-varying sequences. This approach successfully enhances the range resolution without increasing the bandwidth and sampling rate of the analog-to-digital converter. Furthermore, we propose an angle estimation algorithm that accounts for the time-varying frequency of sequences to improve the estimation accuracy. The simulation results show that the proposed system can achieve the range resolution of a 3 GHz PMCW radar system while using only 500 MHz of bandwidth with a root mean square error of 0.0081 m in range estimation and 0.1114 in angle estimation. Full article
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45 pages, 1611 KB  
Review
Unified Model and Survey on Modulation Schemes for Next-Generation Automotive Radar Systems
by Moritz Kahlert, Tai Fei, Yuming Wang, Claas Tebruegge and Markus Gardill
Remote Sens. 2025, 17(8), 1355; https://doi.org/10.3390/rs17081355 - 10 Apr 2025
Cited by 5 | Viewed by 5220
Abstract
Commercial automotive radar systems for advanced driver assistance systems (ADASs) have relied on frequency-modulated continuous wave (FMCW) waveforms for years due to their low-cost hardware, simple signal processing, and established academic and industrial expertise. However, FMCW systems face several challenges, including limited unambiguous [...] Read more.
Commercial automotive radar systems for advanced driver assistance systems (ADASs) have relied on frequency-modulated continuous wave (FMCW) waveforms for years due to their low-cost hardware, simple signal processing, and established academic and industrial expertise. However, FMCW systems face several challenges, including limited unambiguous velocity, restricted multiplexing of transmit signals, and susceptibility to interference. This work introduces a unified automotive radar signal model and reviews the alternative modulation schemes such as phase-coded frequency-modulated continuous wave (PC-FMCW), phase-modulated continuous wave (PMCW), orthogonal frequency-division multiplexing (OFDM), orthogonal chirp division multiplexing (OCDM), and orthogonal time frequency space (OTFS). These schemes are assessed against key technological and economic criteria and compared with FMCW, highlighting their respective strengths and limitations. Full article
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19 pages, 11670 KB  
Article
Incorporation of Digital Modulation into Vital Sign Detection and Gesture Recognition Using Multimode Radar Systems
by Michael C. Brown and Changzhi Li
Sensors 2023, 23(18), 7675; https://doi.org/10.3390/s23187675 - 5 Sep 2023
Cited by 1 | Viewed by 3505
Abstract
The incorporation of digital modulation into radar systems poses various challenges in the field of radar design, but it also offers a potential solution to the shrinking availability of low-noise operating environments as the number of radar applications increases. Additionally, digital systems have [...] Read more.
The incorporation of digital modulation into radar systems poses various challenges in the field of radar design, but it also offers a potential solution to the shrinking availability of low-noise operating environments as the number of radar applications increases. Additionally, digital systems have reached a point where available components and technology can support higher speeds than ever before. These advancements present new avenues for radar design, in which digitally controlled phase-modulated continuous wave (PMCW) radar systems can look to support multiple collocated radar systems with low radar-radar interference. This paper proposes a reconfigurable PMCW radar for use in vital sign detection and gesture recognition while utilizing digital carrier modulation and compares the radar responses of various modulation schemes. Binary sequences are used to introduce phase modulation to the carrier wave by use of a field programable gate array (FPGA), allowing for flexibility in the modulation speed and binary sequence. Experimental results from the radar demonstrate the differences between CW and PMCW modes when measuring the respiration rate of a human subject and in gesture detection. Full article
(This article belongs to the Special Issue Electromagnetic Sensors for Remote Patient Monitoring)
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15 pages, 4653 KB  
Article
Binary-Phase vs. Frequency Modulated Radar Measured Performances for Automotive Applications
by Mattia Caffa, Francesco Biletta and Riccardo Maggiora
Sensors 2023, 23(11), 5271; https://doi.org/10.3390/s23115271 - 1 Jun 2023
Cited by 11 | Viewed by 9644
Abstract
Radars have been widely deployed in cars in recent years, for advanced driving assistance systems. The most popular and studied modulated waveform for automotive radar is the frequency-modulated continuous wave (FMCW), due to FMCW radar technology’s ease of implementation and low power consumption. [...] Read more.
Radars have been widely deployed in cars in recent years, for advanced driving assistance systems. The most popular and studied modulated waveform for automotive radar is the frequency-modulated continuous wave (FMCW), due to FMCW radar technology’s ease of implementation and low power consumption. However, FMCW radars have several limitations, such as low interference resilience, range-Doppler coupling, limited maximum velocity with time-division multiplexing (TDM), and high-range sidelobes that reduce high-contrast resolution (HCR). These issues can be tackled by adopting other modulated waveforms. The most interesting modulated waveform for automotive radar, which has been the focus of research in recent years, is the phase-modulated continuous wave (PMCW): this modulated waveform has a better HCR, allows large maximum velocity, permits interference mitigation, thanks to codes orthogonality, and eases integration of communication and sensing. Despite the growing interest in PMCW technology, and while simulations have been extensively performed to analyze and compare its performance to FMCW, there are still only limited real-world measured data available for automotive applications. In this paper, the realization of a 1 Tx/1 Rx binary PMCW radar, assembled with connectorized modules and an FPGA, is presented. Its captured data were compared to the captured data of an off-the-shelf system-on-chip (SoC) FMCW radar. The radar processing firmware of both radars were fully developed and optimized for the tests. The measured performances in real-world conditions showed that PMCW radars manifest better behavior than FMCW radars, regarding the above-mentioned issues. Our analysis demonstrates that PMCW radars can be successfully adopted by future automotive radars. Full article
(This article belongs to the Section Radar Sensors)
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21 pages, 3626 KB  
Article
Doppler Shift Tolerance of Typical Pseudorandom Binary Sequences in PMCW Radar
by Lucas Giroto de Oliveira, Theresa Antes, Benjamin Nuss, Elizabeth Bekker, Akanksha Bhutani, Axel Diewald, Mohamad Basim Alabd, Yueheng Li, Mario Pauli and Thomas Zwick
Sensors 2022, 22(9), 3212; https://doi.org/10.3390/s22093212 - 22 Apr 2022
Cited by 25 | Viewed by 4536
Abstract
In the context of all-digital radar systems, phase-modulated continuous wave (PMCW) based on pseudorandom binary sequences (PRBSs) appears to be a prominent candidate modulation scheme for applications such as autonomous driving. Among the reasons for its candidacy are its simplified transmitter architecture and [...] Read more.
In the context of all-digital radar systems, phase-modulated continuous wave (PMCW) based on pseudorandom binary sequences (PRBSs) appears to be a prominent candidate modulation scheme for applications such as autonomous driving. Among the reasons for its candidacy are its simplified transmitter architecture and lower linearity requirements (e.g., compared to orthogonal-frequency division multiplexing radars), as well as its high velocity unambiguity and multiple-input multiple-output operation capability, all of which are characteristic of digital radars. For appropriate operation of a PMCW radar, choosing a PRBS whose periodic autocorrelation function (PACF) has low sidelobes and high robustness to Doppler shifts is paramount. In this sense, this article performs an analysis of Doppler shift tolerance of the PACFs of typically adopted PRBSs in PMCW radar systems supported by simulation and measurement results. To accurately measure the Doppler-shift-induced degradation of PACFs, peak power loss ratio (PPLR), peak sidelobe level ratio (PSLR), and integrated-sidelobe level ratio (ISLR) were used as metrics. Furthermore, to account for effects on targets whose ranges are not multiples of the range resolution, oversampled PACFs are analyzed. Full article
(This article belongs to the Special Issue Advances in Radar Sensors)
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