Consider RS x(t)=A cos(10 π t) + B sin(10 π t), where A and B are independent RVs, drawn from zero-mean Gaussian distribution with variance a. Find the mean and autocorrelation of x(t). Is it WSS?...

Consider RS x(t)=A cos(10 π t) + B sin(10 π t), where A and B are independent RVs, drawn from zero-mean Gaussian distribution with variance a. Find the mean and autocorrelation of x(t). Is it WSS? Find the PSD of x(t). If A and B had different variance, would x(t) be WSS?