Main Content

bw2rangeres

Convert bandwidth to range resolution

Since R2021a

collapse all in page

    Syntax

    rangeres = bw2rangeres(bw)
    rangeres = bw2rangeres(bw,c)
    rangeres = bw2rangeres(___,'RangeBroadening',rb)

    Description

    rangeres = bw2rangeres(bw) returns the range resolution rangeres corresponding to the signal bandwidth bw. Range resolution gives the minimum range difference needed to distinguish two targets. The propagation is assumed to be two-way, as in a monostatic radar system.

    example

    rangeres = bw2rangeres(bw,c) also specifies the signal propagation speed c.

    example

    rangeres = bw2rangeres(___,'RangeBroadening',rb) also specifies the range broadening factor rb.

    example

    Examples

    collapse all

    Open Live Script

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

    bw = 20e6;
rngres = bw2rangeres(bw)
    rngres = 
7.4948
    Open Live Script

    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 = bw2rangeres(bw,c)
    rngres = 
0.3800
    Open Live Script

    Assume a monostatic radar system that uses a rectangular waveform. Calculate the range resolution for two signals with bandwidths of 10 and 20 MHz. Use a range broadening factor of 2.0.

    bw = [10e6,20e6];
c = physconst('Lightspeed');    
rngres = bw2rangeres(bw,c,'RangeBroadening',2.0)
    rngres = 1×2

   29.9792   14.9896

    Input Arguments

    collapse all

    Signal bandwidth, specified as a positive scalar. Units are in Hz.

    Example: 300e6

    Data Types: double

    Signal propagation speed, specified as a positive scalar. Units are in m/s.

    Example: 3.0e8

    Data Types: double

    Range impulse broadening factor, specified as a real scalar. Range broadening occurs due to data weighting or windowing for side lobe control. Range broadening is the ratio of the actual –3 dB main lobe width with respect to the nominal width. Typical window functions such as hamming or hann exhibit range broadening in the range of 1 to 1.5.

    Example: 2.0

    Data Types: double

    Output Arguments

    collapse all

    Signal range resolution, returned as a positive scalar. Units are in meters.

    Algorithms

    The range resolution (in meters) for a rectangular pulse of bandwidth bw is c/(bw × 2), where c is the propagation speed. The range resolution broadening factor b yields a range resolution of (c × b)/(bw × 2).

    Extended Capabilities

    C/C++ Code Generation
    Generate C and C++ code using MATLAB® Coder™.

    Version History

    Introduced in R2021a

    See Also