bw2range

Convert bandwidth to range resolution

Syntax

rngres = bw2range(bw)

rngres = range2bw(bw,c)

Description

rngres = bw2range(bw) returns the range resolution of a signal corresponding to its bandwidth. Range resolution gives you the minimum range difference needed to distinguish two targets. The function applies to two-way propagation, as in a monostatic radar system.

rngres = range2bw(bw,c) specifies the signal propagation speed, c.

Examples

Compute Range Resolution from Bandwidth

Assume you have a monostatic radar system that uses a rectangular waveform. Calculate the range resolution obtained using a bandwidth of 20 MHz.

bw = 20e6;
rngres = bw2range(bw)

rngres = 7.4948

Compute Sonar Range Resolution from Bandwidth

Calculate the range resolution of a two-way sonar system that uses a rectangular waveform. The signal bandwidth is 2 kHz. The speed of sound is 1520 m/s.

bw = 2e3;
c = 1520.0;
rngres = bw2range(bw,c)

rngres = 0.3800

Input Arguments

bw — Signal bandwidth

positive scalar | MATLAB^® array of positive real values

Signal bandwidth, specified as any array of array of positive real values. Units are in hertz.

c — Signal propagation speed

speed of light (default) | positive scalar

Signal propagation speed, specified as a positive scalar. The default value is the output of physconst('LightSpeed'). Units are in meters per second.

Data Types: double

Output Arguments

rngres — Target range resolution

positive scalar | MATLAB array of positive real values

Target range resolution, returned as a scalar or MATLAB array of positive real numbers. The dimensions of rngres are the same as those of bw. Units are in meters.

Data Types: double

Tips

• This function assumes two-way propagation. For one-way propagation, you can find the required range resolution by multiplying the output of this function by 2.

Algorithms

The function computes range resolution from rngres = c/(2*bw).

References

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

Extended Capabilities

C/C++ Code Generation

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

Usage notes and limitations:

Does not support variable-size inputs.