How to check which digital signal was originally transmitted from group of known digital signals on receiver side?

I am working in Simulink. At transmitter side I have some digital data (Let say of 10 bits with simply data rate 1 bit/sec) which I can see through scope as unipolar digital data. On receiver side let suppose I am unaware what was originally transmitted digital data but what I know is that the transmitted digital sequence must be from one of the ten known signals (if already added as a library) on receiver side. So I want to compare the received signal with ten known sequences one by one to check which digital signal among them was actually transmitted. I am not that much expert.

Kindly tell me should I use correlation for comparison of this digital data or any other thing. I will wait for your response.

Also can I do all this in Simulink? As I can do this with scope waveform by comparing waveform of received digital signal with available known waveforms one by one to check which waveform matches more OR should I import the data to MATLAB and should perform some comparison there?

Also the received waveform is little much distorted because of channel noise etc.

Thanks in advance.