How to make a rician fading from rayleigh fading

hi, everyone !

I'm studing about MIMO-OFDM and simulation.

--------------------- a part of matlab source ------------------------------
% define a random Rayleigh channel
H = ( randn(M,4) + j * randn(M,4) ) / sqrt( 2.0 ); % (Mx4) matrix
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I made a Rayleigh fading channel matrix and now I've tried to make a Rician fading channel.

But I'm not sure that below source is right.

Someone check this and give a advice to me.

-------------------- matlab source -----------------------------
K_factor = 10; % Rician fading K-factor (dB)
Power_k = 10^(0.1 * K_factor);
Direct_p = 1;
Scatter_p = Direct_p / Power_k;

H = ( (Direct_p + randn(M,4)) + j * randn(M,4) ) / sqrt( 3.0 ); % (Mx4) matrix

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One more, I'm making a Sphere decoding, too.

But, it make me so tired.

Is the performance of Sphere decoding almost the same performance of Maximum likelihood?

My program is not. T.T

Anyway, have a good day everyone.

Rayleigh is exactly right.
But I am not sure about the Rician. If someone can help, I will also appreciate.
By the way, you define parameters Scatter_p and Power_k but never use them while generating the rician channel, H.