Estimate PSD from CWT

Good afternoon! I want to estimate the power spectral density (psd) using the cwt coefficients. I have read that a good estimator is the global spectrum wavelet (gws). But I have the following problem: the sample rate is 1000Hz, so the original psd goes from 0 to 500hz. When I convert the scales of my interest (from 1 to 16), with the db6 wavelet, to frequencies, these are 45 to 700 Hz. How do I compare the traditional psd with gws? Any algorithm to help me? thank you