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Radar Imaging of Non-Uniformly Rotating Targets via a Novel Approach for Multi-Component AM-FM Signal Parameter Estimation

Yong Wang
<span title="2015-03-23">2015</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/taedaf6aozg7vitz5dpgkojane" style="color: black;">Sensors</a> </i> &nbsp;
A novel radar imaging approach for non-uniformly rotating targets is proposed in this study.  ...  high quality instantaneous ISAR images can be obtained from the estimated parameters.  ...  For a weighted modified version of Chirplet atom with the discrete form: ( ) ( ) ( ) ( ) ( ) } 3 2 2 2 4 2 2 exp 1 k k k k k k k k k k t t j t t j t t j t t D t s − + −      + − + − − = γ β ω σ πσ  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/s150306905">doi:10.3390/s150306905</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/25806870">pmid:25806870</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4435157/">pmcid:PMC4435157</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rbmtbuqw7fc2fb4kbu734arn6i">fatcat:rbmtbuqw7fc2fb4kbu734arn6i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150918235349/http://www.mdpi.com/1424-8220/15/3/6905/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/84/bc/84bce1322ddc021c61c3828909c27a72d465e669.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/s150306905"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4435157" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Biosignal Analysis with Matching-Pursuit Based Adaptive Chirplet Transform [article]

Jie Cui, Dinghui Wang
<span title="2017-09-25">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It is well understood that Gaussian chirplet function is critical in describing chirp signals.  ...  Despite the theory of adaptive chirplet transform (ACT) has been established for more than two decades and is well accepted in the community of signal processing, application of ACT to bio-/biomedical  ...  scale t c t c ∈ γ T N = γ Discrete time-center of chirplets ω c ω c ∈ γ F N = 2πγ/N Discrete frequency-center of chirplets c F T tan(α m ) = F T m ∆t Discrete chirp rate ∆ t a 2k Discrete time-spread  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1709.08328v1">arXiv:1709.08328v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/p3ms64pmwje2rfyog7546eyg4u">fatcat:p3ms64pmwje2rfyog7546eyg4u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191027155204/https://arxiv.org/pdf/1709.08328v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2c/a4/2ca4ef5f72f8212823e4d2fa2f32ad7e7da6c653.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1709.08328v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

An overview of the holographic display related tasks within the European 3DTV Project

Levent Onural, Haldun M. Ozaktas, Elena Stoykova, Atanas Gotchev, John Watson, John T. Sheridan, Frank Wyrowski
<span title="2006-04-21">2006</span> <i title="SPIE"> Photon Management II </i> &nbsp;
Typical multi-camera systems have 2-20 cameras providing synchronized video streams. Calibration is an issue.  ...  Typically, the images of a point in the 3D scene at an instant is located in more than one view captured by the cameras, and the true 3D physical coordinates are then computed from this information.  ...  Direct compression of 3D video using mesh-compression techniques is also under investigation. Real-time delivery of captured, compressed data is another task within the 3DTV project.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.668540">doi:10.1117/12.668540</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/37qy2pjbb5bljph3dcotepal3y">fatcat:37qy2pjbb5bljph3dcotepal3y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809112011/http://kilyos.ee.bilkent.edu.tr/~haldun/publications/ozaktas240.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e8/0b/e80bd35389641d332d1911c573fd200e161f91c2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.668540"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

ISAR 2-D Imaging of Uniformly Rotating Targets via Matching Pursuit

Gang Li, Hao Zhang, Xiqin Wang, Xiang-Gen Xia
<span title="">2012</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a4fagdf2dnbrlghfkdsaomn6vm" style="color: black;">IEEE Transactions on Aerospace and Electronic Systems</a> </i> &nbsp;
An algorithm based on matching pursuit (MP) is proposed for inverse synthetic aperture radar (ISAR) two-dimensional (2-D) imaging of uniformly rotating targets.  ...  The ISAR echo is decomposed into many subsignals that are generated by discretizing spatial domain and synthesizing the ISAR data for every discretized spatial position.  ...  In this paper we propose a new algorithm of ISAR 2-D imaging of rotating targets via the MP technique. Assume that the rotation rate of the target is constant during short observation duration.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/taes.2012.6178106">doi:10.1109/taes.2012.6178106</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7l2jwkrz4fdcxdwh7jwjpwobo4">fatcat:7l2jwkrz4fdcxdwh7jwjpwobo4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809094456/http://oa.ee.tsinghua.edu.cn/~ligang/papers/2012%20IEEE%20TAES%20ISAR%20Imaging%20via%20Matching%20Pursuit.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/09/1e/091eca5b24d21c4d674f1ab36f644f4a0958f1e6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/taes.2012.6178106"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Parametric sparse representation method for ISAR imaging of rotating targets

Wei Rao, Gang Li, Xiqin Wang, Xiang-Gen Xia
<span title="">2014</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a4fagdf2dnbrlghfkdsaomn6vm" style="color: black;">IEEE Transactions on Aerospace and Electronic Systems</a> </i> &nbsp;
The ISAR echo is formulated as a parametric joint-sparse signal and the chirp rates at all range bins are estimated by maximizing the contrast of sparse ISAR image.  ...  Based on the linear relationship between the chirp rate of cross-range inverse synthetic aperture radar (ISAR) signal and the slant range, a parametric sparse representation method is proposed for ISAR imaging  ...  The range migration of the scatterer y(t) can be expressed as [1, 2] y(t) = d sin(θ 0 + ω 0 t) − d sin θ 0 = d cos θ 0 sin ω 0 t + d sin θ 0 cos ω 0 t − d sin θ 0 = x sin ω 0 t + y(cos ω 0 t − 1). (  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/taes.2014.120535">doi:10.1109/taes.2014.120535</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kq27hnhvkndsznzb4vwh5wb36m">fatcat:kq27hnhvkndsznzb4vwh5wb36m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808211004/http://oa.ee.tsinghua.edu.cn/~ligang/papers/2014%20TAES%20Parametric%20Sparse%20ISAR.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9e/58/9e589d847a4ad55bec793f3171184aa764f85cda.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/taes.2014.120535"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Feature Extraction From Underwater Signals Using Time-Frequency Warping Operators

Cornel Ioana, Andr Quinquis, Yann Stephan
<span title="">2006</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zbs7fj66hbfbdnvsh3g42r2znu" style="color: black;">IEEE Journal of Oceanic Engineering</a> </i> &nbsp;
In spite of its mathematical elegance, this principle is limited in real applications by two major elements.  ...  The simulations on real underwater data show the performances of this method in comparison with classical ones.  ...  The general form of the CTFR is : ( ) ( ) ( ) 2 * 2 , , 2 2 j f t j t x CTFR t f x t x t e dt e d d π τ ξ πξ τ τ φ τ ξ τ ξ − +       = − +             ∫∫ ∫ (16) where * 2 2 2 j t x t  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/joe.2006.875275">doi:10.1109/joe.2006.875275</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2z33vb2dwvcfrkiauor7ojwa2i">fatcat:2z33vb2dwvcfrkiauor7ojwa2i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170921213550/https://hal-ensta-bretagne.archives-ouvertes.fr/file/index/docid/317991/filename/ms_040917-01.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a0/f0/a0f07e5f049518052e3dbecd29c8344e0554d3ad.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/joe.2006.875275"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

Levent Onural, Atanas Gotchev, Haldun M. Ozaktas, Elena Stoykova
<span title="">2007</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jqw2pm7kwvhchpdxpcm5ryoic4" style="color: black;">IEEE transactions on circuits and systems for video technology (Print)</a> </i> &nbsp;
Discretization and quantization of diffraction fields yield interesting theoretical and practical results, and allow efficient schemes compared to commonly used Nyquist sampling.  ...  This broad sense definition involves all classical holographic techniques where coherent light is used to record the complex valued wavefront via interference [1] , [2] and other true 3-D imaging techniques  ...  The maximum information capacity of integral imaging and image compression by the Karhunen-Loeve transform are discussed in [54] , [55] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcsvt.2007.909973">doi:10.1109/tcsvt.2007.909973</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lzfeaoennjatpk75cz6ad5kkt4">fatcat:lzfeaoennjatpk75cz6ad5kkt4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810065741/http://yoksis.bilkent.edu.tr/pdf/files/10.1109-TCSVT.2007.909973.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/3f/db3f3a2acea17dbe2d72c7f3c38d1b15e20deafd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcsvt.2007.909973"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Radar Maneuvering Target Motion Parameter Estimation Based on Hough Transform and Polynomial Chirplet Transform

Hua Lin, Chao Zeng, Hai Zhang, Ge Jiang
<span title="">2021</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q7qi7j4ckfac7ehf3mjbso4hne" style="color: black;">IEEE Access</a> </i> &nbsp;
It first employs the trajectory feature extracted from the image of range profiles by the HT to correct the first-order RM and resolve the Doppler ambiguity.  ...  Based on the Hough transform (HT) and the polynomial Chirplet transform (PCT), a novel method for the motion parameter estimation, which we coin as HPCT, is proposed in this paper.  ...  Seventh, for the DFM compensation, 1-D integration via a 1-D FFT of M points, the computational cost is O M + M log 2 M .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2021.3061590">doi:10.1109/access.2021.3061590</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bdjjw5rfxfad7bmseqvrs44isq">fatcat:bdjjw5rfxfad7bmseqvrs44isq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210717082435/https://ieeexplore.ieee.org/ielx7/6287639/9312710/09360779.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/40/ac/40ac490d713afa21c5a9d4f6a4d968f1cb2c31cb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2021.3061590"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> ieee.com </button> </a>

Application and Challenges of Signal Processing Techniques for Lamb Waves Structural Integrity Evaluation: Part B-Defects Imaging and Recognition Techniques [chapter]

Zenghua Liu, Honglei Chen
<span title="2018-09-26">2018</span> <i title="InTech"> Structural Health Monitoring from Sensing to Processing </i> &nbsp;
2π p s À Á À1=2 e Àπ tÀτ s ð Þ 2 cos ω t À τ ð Þþζ t À τ ð Þ 2 þ ϕ h i , Gaussian Chirplet ae Àα 1Àrtanh κ tÀτ ð Þ ð Þ ð Þ tÀτ ð Þ 2 cos ω t À τ ð Þþζ t À τ ð Þ 2 þ ϕ h i , asymmetric Gaussian Chirplet  ...  AE1 , (2) where d is the half thickness of plates, k is the wavenumber, k 2 ¼ ω 2 =c 2 p , c p is the phase velocity, α 2 ¼ ω 2 =c 2 l À k 2 , β 2 ¼ ω 2 =c 2 s À k 2 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/intechopen.79475">doi:10.5772/intechopen.79475</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ogkjuzwbezgn7alxwyfgg4qwee">fatcat:ogkjuzwbezgn7alxwyfgg4qwee</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190426192742/https://cdn.intechopen.com/pdfs/62351.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/83/21/8321e2ab3687491d6cacec7aa2b6d33c2b330a38.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/intechopen.79475"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Application and Challenges of Signal Processing Techniques for Lamb Waves Structural Integrity Evaluation: Part A-Lamb Waves Signals Emitting and Optimization Techniques [chapter]

Zenghua Liu, Honglei Chen
<span title="2018-09-26">2018</span> <i title="InTech"> Structural Health Monitoring from Sensing to Processing </i> &nbsp;
2π p s À Á À1=2 e Àπ tÀτ s ð Þ 2 cos ω t À τ ð Þþζ t À τ ð Þ 2 þ ϕ h i , Gaussian Chirplet ae Àα 1Àrtanh κ tÀτ ð Þ ð Þ ð Þ tÀτ ð Þ 2 cos ω t À τ ð Þþζ t À τ ð Þ 2 þ ϕ h i , asymmetric Gaussian Chirplet  ...  AE1 , (2) where d is the half thickness of plates, k is the wavenumber, k 2 ¼ ω 2 =c 2 p , c p is the phase velocity, α 2 ¼ ω 2 =c 2 l À k 2 , β 2 ¼ ω 2 =c 2 s À k 2 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/intechopen.78381">doi:10.5772/intechopen.78381</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r4rmipq47bduhf4jgdha7eakna">fatcat:r4rmipq47bduhf4jgdha7eakna</a> </span>
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DATA ACQUISITION AND PROCESSING OF PARALLEL FREQUENCY SAR BASED ON COMPRESSIVE SENSING

Yanan You, Huaping Xu, Chun-Sheng Li, Lvqian Zhang
<span title="">2013</span> <i title="EMW Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/w26bmilswjfddgxvgiwkooaiu4" style="color: black;">Electromagnetic Waves</a> </i> &nbsp;
Several simulations demonstrate the feasibility and superiority of PFSAR via compressive sensing.  ...  The azimuth imaging of PFSAR is carried out based on the Doppler Effect, and then, the range imaging is performed by using compressive sensing of parallel frequencies signal.  ...  Figure 2 . 2 Observation grids of PFSAR via compressive sensing. Figure 3 . 3 Data acquisition of PFSAR. Figure 4 . 4 Mixing and detecting phases procedure.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2528/pier12070613">doi:10.2528/pier12070613</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o3v6rjsjjjfm7fimhm2htfxa7a">fatcat:o3v6rjsjjjfm7fimhm2htfxa7a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723014500/http://www.jpier.org/PIER/pier133/10.12070613.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b7/48/b74887b48ffdb5cac6942a84fc7853fec62d3b98.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2528/pier12070613"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

A Chirplet Transform-based Mode Retrieval Method for Multicomponent Signals with Crossover Instantaneous Frequencies [article]

Lin Li, Ningning Han, Qingtang Jiang, Charles K. Chui
<span title="2021-10-13">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We use the chirplet transform (CT) to represent a multicomponent signal in the three-dimensional space of time, frequency and chirp rate and introduce a CT-based signal separation scheme (CT3S) to retrieve  ...  Numerical experiments on synthetic and real signals show our method is more accurate and consistent in signal separation than the empirical mode decomposition, synchrosqueezing transform, and other approaches  ...  Hence the frequency bins is discretized as Fs N {−N/2 + 1, −N/2 + 2, ..., N/2 − 1, N/2} for complex signals, or just Fs N {0, 1, ..., N/2 − 1, N/2} for real signals.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.01498v2">arXiv:2010.01498v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wwx3rmhlg5gh7mueuutop776pu">fatcat:wwx3rmhlg5gh7mueuutop776pu</a> </span>
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Note: The intermodulation lockin analyzer

Erik A. Tholén, Daniel Platz, Daniel Forchheimer, Vivien Schuler, Mats O. Tholén, Carsten Hutter, David B. Haviland
<span title="">2011</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cnjzqiomx5bvfkyfzuscxpmlly" style="color: black;">Review of Scientific Instruments</a> </i> &nbsp;
The analyzer is implemented on a field-programmable gate array, providing speed in analysis, real-time feedback and stability in operation.  ...  (t) sin(ω D t)dt. (2) In the digital world we can realize this measurement by sampling the response at discrete times and calculating a Fourier sum.  ...  The frequencies ( f i ), drive amplitudes (A 1 , A 2 ), feedback gain (P), and bias (V b ) can be controlled via the ethernet interface.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3541791">doi:10.1063/1.3541791</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/21361648">pmid:21361648</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xfqzsvdzh5grddjugjykwm3m34">fatcat:xfqzsvdzh5grddjugjykwm3m34</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808155922/http://www.intermodulation-products.com/media/publications/Tholen_IntermodLockin_RSI2011.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/92/5a/925a02d7adb75660f7a2825618ee0d5f1f8c0d25.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3541791"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Cutting-edge Mathematical Tools in Processing and Analysis of Signals in Marine and Navy

Igor Vujović, Joško Šoda, Ivica Kuzmanić
<span title="2012-04-18">2012</span> <i title="Faculty of Maritime Studies Split"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/etn5sicubbcjvkioo37d32o2iu" style="color: black;">Transactions on Maritime Science</a> </i> &nbsp;
Figure 10 shows the analysis of the Figure 6 by applying Fast Discrete Curvelet Transform via wedge wrapping. Curvelets can be real or complex-valued.  ...  Relationship between wavelet equation and FB theory is given with the following equation: ψ φ = = ⋅ ⋅ − ∑ 0 ( ) 2 ( ) (2 ) N k t d n t n (10) where a d (n) is coefficients of a high pass half band filter  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.7225/toms.v01.n01.005">doi:10.7225/toms.v01.n01.005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xkv52ojs5zgszc32ycqoq6wrw4">fatcat:xkv52ojs5zgszc32ycqoq6wrw4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171113060757/https://core.ac.uk/download/pdf/14447412.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/47/98/4798d5b85017c30e2e8df638d55d5dc8dabdd40e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.7225/toms.v01.n01.005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Parameter estimation for SAR micromotion target based on sparse signal representation

Sha Zhu, Ali Mohammad-Djafari, Hongqiang Wang, Bin Deng, Xiang Li, Junjie Mao
<span title="2012-01-18">2012</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hqblpsydr5emviirtqkkmctpha" style="color: black;">EURASIP Journal on Advances in Signal Processing</a> </i> &nbsp;
Accordingly, we propose to jointly estimate the target micromotion and scattering parameters via a Bayesian approach with sparsity-inducing priors.  ...  The model of Equation (9) could be discretized as G(K, θ ) = I i=1 f i . h(K, θ ; ϑ i ) + ε i (K, θ ), (11) where noise has been added via i (K, θ).  ...  ∞ 0 N (f j |0, 1/τ j )G(τ j |ν/2, ν/2)dτ j (33) which gives the possibility of proposing a hierarchical model via the positive hidden variables τ j : ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ p(f |τ ) = j p(f  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/1687-6180-2012-13">doi:10.1186/1687-6180-2012-13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vmcb466tdjadxhnvlyubi2c5yu">fatcat:vmcb466tdjadxhnvlyubi2c5yu</a> </span>
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