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# AWR2243: Equation Inquiry/explanation

Part Number: AWR2243

Hello Team,

My customer has a doubt in R_max calculation due to SNR, in that equation ,NT_r is taken that is a frame time .So they want to know why we are not using bandwidth (B) instead of this.Because in case of frame time the RCS comes into 10^(-5) so that is very small but in real scenario it is impossible to get a 1500 m distance for 3m2 RCS object. Can you share with us explanation about this and also for this FMCW radar why we are not considering Loss kind of thing in radar range equation.

Regards,
Renan

• Hi Renan,

The maximum range a radar can detect also depends on the SNR of the received signal. I assume that you are talking about the max range equation given in the below app note on page 3.

Programming Chirp Parameters in TI Radar Devices (Rev. A)

So, if you check the equation, KT is a term that's related to the noise introduced at the receiver. It's called the antenna noise and has to do with the physics of the antenna. NF is the noise figure of the receiver, which represents the additional noise introduced internal to the radar device. Thus, if you see the losses are considered in the equation.

Now we have not covered the derivation of the equation here in the app note and directly presented the equation. The derivation/explanation is covered in most of the text that is available online on radars and the customer can check that out for reference and better understanding of the concepts. We will also suggest the same. Let us know if you face any issues.

Thanks,