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## Doppler Relationships

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A canonical definition of bistatic Doppler, or Doppler shift, fB, ignoring relativistic effects, is the time rate of change of the total path length of the scattered signal, normalized by the wavelength λ. Because the total path length is the range sum, RT + RR, fB = λ Ld ίRT + RR)J _ 1dRT dRR λ dt + dt (6.1 α) (6. lb) Figure 6.1 defines the geometry and kinematics for bistatic doppler when the target, transmitter, and receiver are moving. The target's velocity vector projected onto the bistatic plane has magnitude V and aspect angle δ referenced to the bistatic bisector. The aspect angle is positive when measured clockwise from the bistatic bisector. The transmitter and receiver have projected velocity vectors of magnitude VT and VR and aspect angles δ and δR, respectively, per the North-referenced coordinate system.

Chapter Contents:

• 6.1 Target Doppler
• 6.2 Isodoppler Contours
• 6.3.1 Clutter Doppler Spread over an Isorange Contour
• 6.3.2 Clutter Doppler Spread over a Range Cell
• 6.3.3 Clutter Doppler Spread through Sidelobes
• 6.4 Doppler Beat Frequency

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Doppler Relationships, Page 1 of 2

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