stretchfreq2rng

Convert frequency offset to range

Syntax

R = stretchfreq2rng(FREQ,SLOPE,REFRNG)

R = stretchfreq2rng(FREQ,SLOPE,REFRNG,V)

Description

R = stretchfreq2rng(FREQ,SLOPE,REFRNG) returns the range corresponding to the frequency offset FREQ. The computation assumes you obtained FREQ through stretch processing with a reference range of REFRNG. The sweeping slope of the linear FM waveform is SLOPE.

R = stretchfreq2rng(FREQ,SLOPE,REFRNG,V) specifies the propagation speed V.

Examples

Range Corresponding to Frequency Offset

Calculate the range corresponding to a frequency offset of 2 kHz obtained from stretch processing. Assume the reference range is 5000 m and the linear FM waveform has a sweeping slope of 2 GHz/s.

r = stretchfreq2rng(2e3,2e9,5000)

r = 
4.8501e+03

Input Arguments

FREQ — Frequency offset

scalar | vector

Frequency offset in hertz, specified as a scalar or vector.

Data Types: double

SLOPE — Sweeping slope of the linear FM waveform

nonzero scalar

Sweeping slope of the linear FM waveform, in hertz per second, specified as a nonzero scalar.

Data Types: double

REFRNG — Reference range

scalar

Reference range in meters, specified as a scalar.

Data Types: double

V — Propagation speed

physconst("LightSpeed") (default) | positive scalar

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

Data Types: double

Output Arguments

R — Range

scalar | vector

Range in meters, returned as a scalar or vector. R has the same dimensions as FREQ .

References

[1] 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 R2012a