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You'll have to convert back into linear units before you can evaluate the SINR formula. ${\textrm{SNR}_{linear}=10^{\big(\frac{\textrm{SNR}_{dB}}{10}\big)}}$ and likewise for CIR... ${\textrm{SINR}_{dB} = 10 \log_{10}(\frac{1}{\frac{1}{\textrm{SNR}}+\frac{1}{CIR}}})$ ${BER = \frac{1}{4{\textrm{SINR}}_{linear}}}$
With $A(q^{-1},t)$ as given in the formula you get $$A(1,t)=\prod_{k=1}^n(1-2\cos(k\hat\omega_0(t))+1)\tag{1}$$ and $$A(\rho,t)=\prod_{k=1}^n(1-2\cos(k\hat\omega_0(t))\rho+\rho^2)\tag{2}$$ So $K(t)$ is simply the quotient of (1) and (2).