A problem about the relationship between perceived quality and loudness! thanks

[Junyong You <junyong.you@xxxxxx>]

Hi All,

As we know, loudness is an important audio index for human perception. Is 
there anyone studied the relationship between quality distortion and the 
loudness? I mean, if the same objective distortion happened on the different 
audios (or segments) with different loudness, then, is there some difference 
between the perceived qualities of these two audios (or segments)?

I guess the loudness should influence the perceived quality of same 
distortion, and for the very low and very high loudness, such influence 
maybe not very great, but with ordinary loudness, perhaps the perceived 
distortion will increase following the loudness.

This is just my guess, anybody can help to work for it with me? Or could you 
please give me some advice and references?

Thank you very much, any feedback will be greatly appreciated.

Best Regards,

Junyong