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# speed2dop

Convert speed to Doppler shift

## Description

Doppler_shift = speed2dop(radvel,lambda) returns the one-way Doppler shift in hertz corresponding to the radial velocity, radvel, for the wavelength lambda.

## Examples

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Calculate the Doppler shift in hertz for a given carrier wavelength and source speed. The radar frequency is 24.15 GHz. Assume a radial speed of 35.76 m/s.

f0 = 24.15e9;
lambda = physconst('LightSpeed')/f0;
doppler_shift = 2.8807e+03

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The Doppler shift of a source relative to a receiver can be computed from the relative radial velocity between the source and receiver:

$\Delta f=\frac{{V}_{s,r}}{\lambda }$

where Δf is the Doppler shift in hertz, Vs,r denotes the radial velocity of the source relative to the receiver, and λ is the carrier frequency wavelength in meters.

## References

[1] Rappaport, T. Wireless Communications: Principles & Practices. Upper Saddle River, NJ: Prentice Hall, 1996.

[2] Skolnik, M. Introduction to Radar Systems, 3rd Ed. New York: McGraw-Hill, 2001.