For me, analog is hands-down the winner in terms of overall SQ.
That is of course your preference and inarguable, others including myself prefer CD partly due to the lack of noise that inevitably plagues LP playback at so many levels.
Why are we even discussing CD? It's 16 bit 44.1 after all... nowadays SACD is a much more promising premise...and I do have a small collection of 2 channel SACDs although my Sony SACD deck recently died so I'm searching out a replacement. But it is a very good format, and can give high-quality analog a definite run for its money. But like I said, CD is (should be) a thing of the past for audiophiles.
In the end however, all digital formats are a mere sample of the original performance, which is analog. The fact that the sound waves have been permanently captured 'in the wax' says it all. I can live with its limitations.
...and an analog recording is a perfect facsimile of the original source ?, sorry, incorrect. It is an approximation. If the process of analog sound recording/pressing captures a perfect facsimile of the original signal how come it has neither infinite bandwidth nor an infinitely high SNR, how can the SNR of this analog capture be decidedly inferior to the SNR of a competent 16 bit digital system ? Here is a clue, continuous is not the same as infinite or perfect.
Just make sure you get a very(very) quiet phono preamp and a fine line stylus to take vinyl seriously, and to not destroy the grooves.
Given the job that a phono premp has to do (massive gain and outrageous EQing of the FR) it is pretty hard to get one that is quiet by even lowly 16 bit standards, you'll be lucky to get SNR of 85db to 90db, but then there are so many other sources of noise from LP you'll barely notice the phono stage noise. An iPod is quieter than LP playback.