Let X(t) = A cos(2πf0t + θ) be a random process, where amplitude A and phase θ are independent of each other, and are uniformly distributed in the intervals [-2, 2] and [0, 2π], respectively.
X(t) is fed to an 8-bit uniform mid-rise type quantizer.
Given that the autocorrelation of X(t) is $R_x(τ) = \frac{2}{3} cos(2πf_0 τ)$, the signal to quantization noise ratio (in dB, rounded off to two decimal places) at the output of the quantizer is