Radar Target Generation and Detection

1. FMCW Waveform Design

   From line #34 to line #36, I have calculated the Bandwidth (B), Chirp Time (Tchirp) and Slope (slope) of the FMCW chirp using the above requirements.

   Target's initial position and velocity are defined as follows:

   • target_position = 150 meter
   • target_velocity = 55 m/s

2. Range FFT (1st FFT)

   The steps to solve the task:

   • Implement the 1D FFT on the Mixed Signal
   • Reshape the vector into Nr*Nd array.
   • Run the FFT on the beat signal along the range bins dimension (Nr)
   • Normalize the FFT output.
   • Take the absolute value of that output.
   • Keep one half of the signal
   • Plot the output
   • There is a peak at the initial position of the target

   The code implementation of this part is from line #38 to line #150.

   Results:

   

   

3. 2D CFAR

   The steps to solve the task:

   • Determine the number of Training cells and the number of guard cells for each dimension.

   Tr = 10;
   Td = 8;
   
   Gr = 4;
   Gd = 4;
   
   offset = 1.4; % in dB
   

   • Slide the cell under test across the complete matrix. Make sure the CUT has margin for Training and Guard cells from the edges.
   • For every iteration sum the signal level within all the training cells. To sum convert the value from logarithmic to linear using db2pow function.
   • Average the summed values for all of the training cells used. After averaging convert it back to logarithmic using pow2db.
   • Further add the offset to it to determine the threshold.
   • Next, compare the signal under CUT against this threshold.
   • If the CUT level > threshold assign it a value of 1, else equate it to 0.
   • Steps taken to suppress the non-thresholded cells at the edges:

   RDM(union(1:(Tr+Gr),end-(Tr+Gr-1):end),:) = 0;  % Rows
   RDM(:,union(1:(Td+Gd),end-(Td+Gd-1):end)) = 0;  % Columns
   

   The code implementation of this part is from line #156 to line #257.

   Results: