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in practice as there will usually be some mismatch between the filter and signal: This is not usually desirable (if a target has any Doppler shift from an unknown velocity it will disappear from the radar …

Two suggestions that may independently, or combined, help to solve your problem. Consider using a different window/weighting function for your FFT processing. There are window functions with low un …

In radar the relationship between range rate, $v$ and Doppler frequency offset, $\Delta f$ is given by: $$v = -\frac{c}{2} \frac{\Delta f}{f_c}$$ where $c$ is the speed of light and $f_c$ is the carrier … {f_d - f_c}{f_c}$$ The Doppler frequency offset is equal to the amount the Doppler frequency has been shifted from the carrier $\Delta f = f_c - f_d $: $$v_r = -c \frac{\Delta f}{f_c}$$ And, since in radar …

The following is based on the report from Peter Swerling: Probability of Detection for Fluctuating Targets. Case II is defined as fluctuations that are independent from pulse to pulse (page 2), that i …

As the radar cross-section (RCS) is a property of the scattering target you don't really get to choose it. 1 m2 (0 dBsm) is a typical reference RCS for stating radar system performance. … A typical value for a human in S-Band is somewhere between -5 and 0 dBsm (0.3 - 1.0 m2) based on figures in Computer Models of the Human Body Signature for Sensing Through the Wall Radar Applications. …

First a definition: an analytic signal is one who's negative frequency components are zero. For a real signal $x(t)$, the Hilbert transform computes the imaginary component of the corresponding analyt …

This description assumes a planar phased array radar system. … Keeping all other factors constant, for a radar the SNR is inversely proportional to the fourth power of range, $r$ (see The Radar Range Equation): $$SNR(r) = SNR_0\cdot \left(\frac{r_0}{r}\right)^4$$ …

For the third question, the following relationship, known as the "radar range equation" applies (ref: The Radar Equation): $$SNR = \frac{S}{N} = \frac{P_tG^2\lambda^2\sigma}{(4\pi)^3R^4kT_SB_nL}$$ where … Additional info: The Radar Range Equation …

I'm not sure you're going to get good detection performance for your example at only 10 dB signal-to-noise ratio (SNR). Detection, in general, is a tradeoff between achieving a high probability of de …