speed2dop

Convert speed to Doppler shift

Syntax

dps = speed2dop(radvel,lambda)

Description

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

example

Examples

collapse all

Calculate Doppler Shift from Speed

Open Live Script

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.

radvel = 35.76;
f0 = 24.15e9;
lambda = physconst('LightSpeed')/f0;
doppler_shift = speed2dop(radvel,lambda)

doppler_shift = 
2.8807e+03

Input Arguments

collapse all

`radvel` — Radial velocity
scalar | vector | matrix

Radial velocity in meters per second, specified as a scalar, vector, or matrix.

Data Types: double

`lambda` — Wavelength
positive scalar

Wavelength in meters, specified as a positive scalar.

Data Types: double

Output Arguments

collapse all

`dps` — One-way Doppler shift
scalar | vector | matrix

One-way Doppler shift in hertz, returned as a scalar, vector, or matrix.

More About

collapse all

Doppler-Radial Velocity Relation

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

$Δ f = \frac{V_{s, r}}{λ}$

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

Extended Capabilities

expand all

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

Does not support variable-size inputs.

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.

Version History

Introduced in R2011a

speed2dop

Syntax

Description

Examples

Calculate Doppler Shift from Speed

Input Arguments

radvel — Radial velocity scalar | vector | matrix

lambda — Wavelength positive scalar

Output Arguments

dps — One-way Doppler shift scalar | vector | matrix

More About

Doppler-Radial Velocity Relation

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™.

References

Version History

See Also

`radvel` — Radial velocity
scalar | vector | matrix

`lambda` — Wavelength
positive scalar

`dps` — One-way Doppler shift
scalar | vector | matrix

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.