rdcoupling

Range Doppler coupling

Syntax

dr = rdcoupling(fd,slope)

dr = rdcoupling(fd,slope,c)

Description

dr = rdcoupling(fd,slope) returns the range offset due to the Doppler shift in a linear frequency modulated signal. For example, the signal can be a linear FM pulse or an FMCW signal. slope is the slope of the linear frequency modulation.

dr = rdcoupling(fd,slope,c) specifies the signal propagation speed.

Examples

Target Range After Correcting for Doppler Shift

Calculate the true range of the target for an FMCW waveform that sweeps a band of 30 MHz in 2 ms. The dechirped target echo has a beat frequency of 1 kHz. The processing of the target return indicates a Doppler shift of 100 Hz.

slope = 30e6/2e-3;
fb = 1e3;
fd = 100;
r = beat2range(fb,slope) - rdcoupling(fd,slope)

r = 
10.9924

Input Arguments

fd — Doppler shift

array of real numbers

Doppler shift, specified as an array of real numbers.

Data Types: double

slope — Slope of linear frequency modulation

nonzero scalar

Slope of linear frequency modulation, specified as a nonzero scalar in hertz per second.

Data Types: double

c — Signal propagation speed

speed of light (default) | positive scalar

Signal propagation speed, specified as a positive scalar in meters per second.

Data Types: double

Output Arguments

dr — Range offset due to Doppler shift

real scalar

Range offset due to Doppler shift, returned as an array of real numbers. The dimensions of dr match the dimensions of fd.

More About

Range Offset

The range offset is the difference between the estimated range and the true range. The difference arises from coupling between the range and Doppler shift.

Algorithms

The function computes -c*fd/(2*slope).

References

[1] Barton, David K. Radar System Analysis and Modeling. Boston: Artech House, 2005.

[2] Richards, M. A. Fundamentals of Radar Signal Processing. New York: McGraw-Hill, 2005.

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

Does not support variable-size inputs.

Version History

Introduced in R2012b