How to create input of linear equalization channel?

Hello ,

i want to create the input channel to linear equalizer . The project is asking to create random complex channel h ,4-QAM modulation and then find the output y.My code is:

K=4;
for i=1:K+1
    h(i)=sqrt(1/2)*(randn+1i*randn);
end

N=100 %symbols

a = repmat(-1:2:1,1,2)-[repmat(-1j,1,2) repmat(1j,1,2)];
Ak = a(randi(4,N,1)); % 4-QAM sequence of 100 samples

y=conv(h,Ak);

Is this the right way?because i am a little bit confused.

Thank you.