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IWR6843AOPEVM: Formula for Range estimation

Jean Challet
Prodigy 110 points
Part Number: IWR6843AOPEVM

Hello, 

In the Demo Visualizer 2.1, when I set the desired configuration with the "RCS" of my target, "Desirable configuration", etc. the plateform give me a estimation of maximum range for the desired RCS. Can I have the formula that you use to calculate this value (maybe a modified Radar equation formula ???)

Thanks in advance. 

  • 0
    TI__Mastermind 39725 points

    HI, Jean:

    Below is the relationship between SNR and max distance (R).   IF you set SNR = minimum detectable SNR + system loss, you can derived the max distance R.  There is some assumption used for minumum SNR and system loss that is documented in the users guide for sensor estimation (click on help and then users guide). 

    •SNR of the ADC sample is related to the transmit power, propagation loss, RCS of the target and thermal noise level in the received chain and the ADC sampling rate.

    •After 1D FFT, there will be processing gain from range FFT.
    •After 2D FFT, there will be processing gain from Doppler FFT
    •At the end, the SNR of the whole system can be listed as

    SNR=((RCS ×(P_t * G_tx * G_rx λ^2)/((4π)^3*R^4 ))×T_s)/(0.9k_B T_0 N_F )×N_adc×N_(chirp_loops)x N_ant

    Where Pt is the transmit power; Gtx is the transmit antenna gain; Grx is the receive antenna gain; λ is wavelength; R is the target distance; the KB is the Boltzmann constant equal to 1.38x10-23 J/K, T0 is the absolute ambient temperature in K; NF is the noise figure; Ts the ADC sample duration, Nadc is the number of ADC samples per chirp. Nchirp_loops is the number of chirp per frame; Nant is the total number of visual antennas.

    Best,

    Zigang

  • 0 in reply to zigang Yang
    Prodigy 110 points

    Hello, thanks for the reply. But can you give me a example with a car with real value please (with the details of values).

    Regards,

  • 0 in reply to Jean Challet
    TI__Mastermind 39725 points

    HI, Jean:

    With the given equation, you should be able to do that with a car with real values.   If you have any questions, you can let me know.  You can also let me review your result.

    Best,

    Zigang