rdcoupling

Range Doppler coupling

Syntax

``dr = rdcoupling(fd,slope)``
``dr = rdcoupling(fd,slope,c)``

Description

example

````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

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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

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Doppler shift, specified as an array of real numbers.

Data Types: `double`

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

Data Types: `double`

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

Data Types: `double`

Output Arguments

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

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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.

Version History

Introduced in R2012b