• Journal of Semiconductors
  • Vol. 41, Issue 11, 111401 (2020)
Wei Deng1,2, Haikun Jia1,2, and Baoyong Chi1
Author Affiliations
  • 1Institute of Microelectronics, Tsinghua University, Beijing 100084, China
  • 2Research Institute of Tsinghua University in Shenzhen, Shenzhen 518057, China
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    DOI: 10.1088/1674-4926/41/11/111401 Cite this Article
    Wei Deng, Haikun Jia, Baoyong Chi. Silicon-based FMCW signal generators: A review[J]. Journal of Semiconductors, 2020, 41(11): 111401 Copy Citation Text show less

    Abstract

    FMCW radars with high resolution necessities the generation of highly linear, low phase noise, and low spur chirp signals with large bandwidth and a short modulation period. This paper reviews recent research progress on silicon-based FMCW signal generators, identifies advances in architecture, fundamental design, performance analysis, and applications of the FMCW synthesizer.
    ${f_{{\rm{b}}1,2}} =\pm \frac{{2{\rm{B}}{{\rm{W}}_{\rm C}}}}{{T_{\rm C} C}} \cdot R + \frac{{2{f_{\rm{C}}}}}{C} \cdot v,$ (1)

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    ${{{G}}_{{\rm{loop}}}}\left( {{z}} \right) = {K_{{\rm{TDC}}}} \cdot {K_{{\rm{DCO}}}}\cdot{H_{{\rm{DLF}}}}\left( {{z}} \right) \cdot \frac{{{z^{ - 1}}}}{{1 - {z^{ - 1}}}} \cdot \frac{1}{{Nf_{{\rm{ref}}}^2}},$ (2)

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    ${H_{{\rm{LP}}}}\left( z \right) = {f_{{\rm{ref}}}} \cdot \frac{{{G_{{\rm{loop}}}}\left( z \right)}}{{1 + {G_{{\rm{loop}}}}\left( z \right)}}.$ (3)

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    ${H_{{\rm{HP}}}}\left( z \right) = {g_0} \cdot \frac{{{K_{{\rm{DCO}}}}}}{{1 + {G_{{\rm{loop}}}}\left( z \right)}}.$ (4)

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    ${{{H}}_{{\rm{TPM}}}}\left( z \right) = {f_{{\rm{ref}}}} \cdot \left[\frac{{{G_{{\rm{loop}}}}\left( z \right)}}{{1 + {G_{{\rm{loop}}}}\left( z \right)}} + \frac{{{g_0} {K_{{\rm{DCO}}}} \cdot (1/{f_{{\rm{ref}}}})}}{{1 + {G_{{\rm{loop}}}}\left( z \right)}}\right].$ (5)

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    $Δchirp(z)=mod(z)[frefHTPM(z)]=K1+Kfrefmod(z)11+Gloop(z).$ (6)

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