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The Uncertainty Principle

  • D. E. Vakman
Part of the Applied Physics and Engineering book series (APPLIED PHYS, volume 4)

Abstract

It has thus far been assumed that the received signal is reflected from a stationary target so that the carrier frequency of the transmitted and reflected signals coincide. The general case will now be considered. Assume that the signal is reflected from a target whose range is r0, and whose range rate is v0. Thus the reflected signal is delayed by the time t0 = 2r0/c and acquires a Doppler shift of Q = (2v0/c) ω0:
$$ {s_{1}}\left( t \right) = s\left( {t - {t_{0}}} \right){e^{{j\Omega \left( {t - {t_{0}}} \right)}}} $$
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Keywords

Wave Packet Range Rate Uncertainty Principle Instantaneous Frequency Impulse Response Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1968

Authors and Affiliations

  • D. E. Vakman

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