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Convert range resolution to required bandwidth


  • bw = range2bw(r)
  • bw = range2bw(r,c)



bw = range2bw(r) returns the bandwidth needed to distinguish two targets separated by a given range. Such capability is often referred to as range resolution. The propagation is assumed to be two-way, as in a monostatic radar system.

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


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Assume you have a monostatic radar system that uses a rectangular waveform. Calculate the required pulse bandwidth in MHz of the waveform so that the system can achieve a range resolution of 10 m.

rngres = 10;
c = physconst('LightSpeed');
bw = range2bw(rngres,c);
bwMhz = bw/1e6
bwMhz =


The required bandwidth is approximately 15 MHz.

Now, find the required pulse duration in microseconds.

tau = 1/bw*1e6
tau =


Related Examples

Input Arguments

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Target range resolution in meters, specified as an array of positive numbers.

Data Types: double

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

Data Types: double

Output Arguments

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Required bandwidth in hertz, returned as an array of nonnegative numbers. The dimensions of bw are the same as those of r.

More About

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


The function computes c/(2*r).


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

Introduced in R2012b

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