Probability-of-Detection
In this repository I tried to calculate the probabilities of detection of the received signal versus several values of SNR (Signal-to-Noise Ratio) for each detection method : Matched_Filter , Cross_Correlation , Energy_Detection and Goertzel_Algorithm over MATLAB. So, enough intro !! we have a lot things of to do, thus lets dig in.
We calculate the probabilities of detection in a simple way which is : we choose a threshold := 100, and we compare the energy of the received signal with this threshold's value and we obtain either 1 or 0, In the end we plotted those values versus SNR'values.
** Goertzel Algorithm :
We followed the same procedure for Matched_Filter's Method :
** Matched Filter :
** Cross Correlation :
** Energy Detection :
