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Convert range resolution to bandwidth



    bw = rangeres2bw(rangeres) returns the signal bandwidth bw needed to produce the range resolution, rangeres. Signal bandwidth gives the maximum bandwidth needed to distinguish two targets in range. The propagation is assumed to be two-way, as in a monostatic radar system.


    bw = rangeres2bw(rangeres,c) also specifies the signal propagation speed c.

    bw = rangeres2bw(___,'RangeBroadening',rb) also specifies the range broadening factor rb.


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    Assume you have a monostatic radar system that uses a rectangular waveform. Calculate the signal bandwidth needed to obtain a range resolution of 25 m. Use the default speed of light.

    rangeres = 25.0;
    bw = rangeres2bw(rangeres)
    bw = 5.9958e+06

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

    rangeres = 1;
    c = 1520.0;
    bw = rangeres2bw(rangeres,c)
    bw = 760

    Assume a monostatic radar system that uses a rectangular waveform. Calculate the bandwidths of two signals having range resolutions of 1 and 10 and 10 meters. Use a range broadening factor of 2.0.

    res = [1.0,10.0];
    c = physconst('Lightspeed');    
    bw = rangeres2bw(res,c,'RangeBroadening',2.0)
    bw = 1×2
    108 ×
        2.9979    0.2998

    Input Arguments

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    Range resolution, specified as a positive scalar. Units are in meters.

    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

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

    Example: 300e6

    Data Types: double


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

    Extended Capabilities

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

    See Also

    Introduced in R2021a