readme: add exercise 6

README.md

@@ -3,13 +3,13 @@
 
 ## Description
 
-This repository contains the source code of two documents
+This repository is structured as follows:
 
 - `lectures`: a summary of the lectures of the course
 
 - `notes`: an explanation of the solutions of the exercises
 
-and the programs written for each exercise (`ex-n` directories)
+* `ex-n`: programs written for each exercise
 
 
 ## Building the documents
@@ -113,3 +113,21 @@ and number of events, run it with `-h` to see their usage.
 
 Note: the histogram parameters affect the computation of the χ² and the
 relative parameter estimation.
+
+
+### Exercise 6
+
+`ex-6/bin/main` simulates a Fraunhöfer diffraction experiment. The program
+prints to `stdout` the bin counts of the intensity as a function of the
+diffraction angle. To plot a histogram simply pipe the output to the
+program `ex-6/plot.py`.
+
+The program convolves the original signal with a gaussian kernel (`-s` to
+change the σ), optionally adds a Poisson noise (`-m` to change the mean μ) and
+performs either a naive deconvolution by a FFT (`-m fft` mode) or applying the
+Richard-Lucy deconvolution algorithm (`-m rl` mode), which is expected to
+perform optimally in this case.
+
+The `-c` and `-d` options controls whether the convolved or deconvolved
+histogram counts should be printed to `stdout`. For more options
+run the program with `-h` to see the usage screen.