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1

Malachias, Nickolaos. Doppler shift and spread study for ionospherically propagated signals. Monterey, Calif: Naval Postgraduate School, 1994.

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2

Kharchakdjian, Raffi. Modelling the structure of the tumour vasculature and its effect on doppler ultrasound signals. Ottawa: National Library of Canada, 2001.

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3

N, McDicken W., ed. Doppler ultrasound: Physics, instrumentation, and signal processing. 2nd ed. Chichester: Wiley, 2000.

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4

Keenan, Desmond Barry. Enhanced signal processing of pulsed doppler ultrasound. [s.l: The Author], 1998.

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5

Eggen, Trym H. Underwater acoustic communication over Doppler spread channels. Woods Hole, Mass: Woods Hole Oceanographic Institution, 1997.

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6

United States. National Aeronautics and Space Administration., ed. Windshear detection radar signal processing studies: Final report. Clemson, S.C: Electrical and Computer Engineering Dept., Clemson University, 1993.

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7

L, Weber B., and Environmental Technology Laboratory (Oceanic and Atmospheric Research Laboratories), eds. A new paradigm for Doppler radar wind profiler signal processing. Boulder, Colo: U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Office of Oceanic and Atmospheric Research, Environmental Technology Laboratory, 2004.

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8

Zemli͡anskiĭ, V. M. Izmerenie skorosti potokov lazernym doplerovskim metodom: Raschet parametrov doplerovskogo signala LDA s uchetom poli͡arizat͡sionno-fazovykh ėffektov rassei͡anii͡a. Kiev: Gol. izd-vo izdatelʹskogo obʺedinenii͡a "Vyshcha shkola", 1987.

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9

United States. National Aeronautics and Space Administration., ed. Coherent Doppler Lidar signal covariance including wind shear and wind turbulence. [Washington, DC: National Aeronautics and Space Administration, 1993.

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10

Hepner, Timothy E. State-of-the-art laser Doppler velocimeter signal processors: calibration and evaluation. Washington, D. C: American Institute of Aeronautics and Astronautics, 1994.

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11

Takeda, Yasushi. Ultrasonic Doppler Velocity Profiler for Fluid Flow. Tokyo: Springer Japan, 2012.

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12

Lu, Yen. A signal simulation model of pulsed doppler ultrasound clutter from a static artery wall. Ottawa: National Library of Canada, 1994.

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13

Time-frequency analysis and synthesis of linear signal spaces: Time-frequency filters, signal detection and estimation, and range-Doppler estimation. Boston: Kluwer Academic Publishers, 1998.

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14

Hlawatsch, F. Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation. Boston, MA: Springer US, 1998.

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15

Jeffry, Rothermel, and United States. National Aeronautics and Space Administration., eds. Signal processing and calibration of continuous-wave focused CO₂ Doppler lidars for atmospheric backscatter measurement. [Washington, DC: National Aeronautics and Space Administration, 1996.

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16

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford, CA: Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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17

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1986.

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18

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford, CA: Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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19

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1986.

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20

United States. National Aeronautics and Space Administration., ed. The design and development of signal-processing algorithms for an airborne x-band Doppler weather radar. Lawrence, Kansas: University of Kansas Center for Research, Inc., 1994.

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21

Lee, Jonggil. Analysis and improved design considerations for airborne pulse Doppler radar signal processing in the detection of hazardous windshear. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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22

R, Kumar. A novel multistage estimation of the signal parameters of a possibly data-modulated sinusoid under very high dynamics. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1989.

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23

Aalfs, David D. Real-time processing of radar return on a parallel computer. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1992.

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24

Aalfs, David D. Real-time processing of radar return on a parallel computer. Hampton, Va: Langley Research Center, 1992.

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25

Aalfs, David D. Real-time processing of radar return on a parallel computer. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, 1992.

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26

United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., ed. Real-time processing of radar return on a parallel computer. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1992.

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27

Jonggil, Lee, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. The pulse-pair algorithm as a robust estimator of turbulent weather spectral parameters using airborne pulse Doppler radar. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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28

Jonggil, Lee, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. The pulse-pair algorithm as a robust estimator of turbulent weather spectral parameters using airborne pulse Doppler radar. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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29

Baxa, Ernest G. The pulse-pair algorithm as a robust estimator of turbulent weather spectral parameters using airborne pulse Doppler radar. Hampton, Va: Langley Research Center, 1991.

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30

Jonggil, Lee, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. The pulse-pair algorithm as a robust estimator of turbulent weather spectral parameters using airborne pulse Doppler radar. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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31

IEEE National Radar Conference (1996 Ann Arbor, Mich.). The proceedings of the 1996 IEEE National Radar Conference: Held at the University of Michigan, Ann Arbor, Michigan 13-16 May, 1996. New York, N.Y: IEEE Aerospace and Electronic Systems Society, 1996.

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32

Fresa, Dario. Pseudo Wigner Distribution for the Analysis of Doppler Ultrasound Signals. Lulu Press, Inc., 2011.

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33

Wittman, David M. Doppler Effect and Velocity Addition Law. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0009.

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We now pivot from relationships between frames to look at the effect of motion on communications between specific observers.This will help us look at the twin paradox in the next chapter, and will prove crucial to understanding the effects of gravity on time. Along the way, we develop an understanding of the Doppler effect; a key tool in many areas of modern science. We find that Doppler effects are reciprocal (Alice observes the same effect on Bob’s signals as Bob observes on Alice’s signals) and that Doppler effects compound over multiple frame changes. We then use the compounding of Doppler effects to deduce the algebraic formof the velocity addition law. We show that this Einstein velocity addition law reduces to the Galilean law at low speeds.
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34

Source/Receiver Motion-Induced Doppler Influence on the Bandwidth of Sinusoidal Signals. Storming Media, 2003.

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35

Niemeijer, Reint Johannes. Doppler-Polarimetric Radar Signal Processing. Delft Univ Pr, 1996.

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36

Kasprzak, Jaroslaw D., Anita Sadeghpour, and Ruxandra Jurcut. Doppler echocardiography. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780198726012.003.0003.

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Doppler examination is an integral part of the echocardiogram. Current systems are equipped with spectral Doppler in continuous wave mode (offering measurements of high velocities with limited spatial specificity due to integration of signal along the scan line), pulsed wave mode (high spatial specificity with maximal recordable velocity reduced by the Nyquist limit), and colour Doppler flow mapping (allowing rapid identification of flow pattern within a cross-sectional B-mode sector). Tissue Doppler echocardiography emerged as a basic tool for sampling regional myocardial velocities, in pulsed wave or colour velocity mapping mode. Finally, three-dimensional systems improve spatial presentation of flow phenomena by integrating Doppler-derived flow patterns in three-dimensional datasets.
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37

Choi, Seong Jong. Parametric spectral analysis of ultrasound doppler signal. 1992.

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38

H, Evans David, and W. Norman McDicken. Doppler Ultrasound: Physics, Instrumentation and Signal Processing. Wiley & Sons, Incorporated, John, 2007.

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39

Boric-Lubecke, Olga, Byung-Kwon Park, Victor M. Lubecke, Amy D. Droitcour, and Aditya Singh. Doppler Radar Physiological Sensing. Wiley & Sons, Limited, John, 2016.

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40

Boric-Lubecke, Olga, Byung-Kwon Park, Victor M. Lubecke, Amy D. Droitcour, and Aditya Singh. Doppler Radar Physiological Sensing. Wiley & Sons, Incorporated, John, 2015.

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41

Doppler Radar Physiological Sensing. John Wiley & Sons, 2013.

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42

Boric-Lubecke, Olga, Byung-Kwon Park, Victor M. Lubecke, Amy D. Droitcour, and Aditya Singh. Doppler Radar Physiological Sensing. Wiley & Sons, Incorporated, John, 2015.

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43

Windshear detection radar signal processing studies: Final report. Clemson, S.C: Electrical and Computer Engineering Dept., Clemson University, 1993.

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44

Doppler Applications in LEO Satellite Communication Systems. Springer, 2013.

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45

Ali, Irfan, Pierino G. Bonanni, Naofal Al-Dhahir, and John E. Hershey. Doppler Applications in LEO Satellite Communication Systems. Springer London, Limited, 2006.

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46

Bascom, Peter A. J. Influence of flow conditions on the backscattered doppler ultrasound signal. 1995.

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47

Woodahl, Brian Arvid. On obtaining auto-spectral-density from non-uniformly sampled data using signal reconstruction. 1993.

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48

Khandoker, Ahsan H., Faezeh Marzbanrad, and Yoshitaka Kimura, eds. Recent Advances in Doppler Signal Processing and Modelling Techniques for Fetal Monitoring. Frontiers Media SA, 2018. http://dx.doi.org/10.3389/978-2-88945-536-2.

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49

Takeda, Yasushi. Ultrasonic Doppler Velocity Profiler for Fluid Flow. Springer, 2014.

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50

Takeda, Yasushi. Ultrasonic Doppler Velocity Profiler for Fluid Flow. Springer, 2012.

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