The autocorrelation function of the sinusoidal signal x(t) = A cos (ω0 t + ϕ) is:
1
R(τ) = A2 × cos (ω0 τ)
2
\(R\left( \tau \right) = \frac{{{A^2}\; \times \;\cos \left( {{\omega _0}\tau } \right)}}{2}\)
3
\(R\left( \tau \right) = \frac{{{A^2}\; \times \;\cos \left( {{\omega _0}\tau } \right)}}{4}\)
4
\(R\left( \tau \right) = \frac{{{A^2}\; \times \;\cosh \left( {{\omega _0}\tau } \right)}}{2}\)