Sure we are. Noise is the random variation in the signal away from a theoretical 'ideal' value. If I take an image of a star and count the number of electrons generated in the sensor's pixels by that star's light, I'll get some value, X. I then take another identical image and count the electrons again. This time X is a bit more or less than before. I then take another identical image and do the same thing, again getting a slightly different value for X. Let's say I continue to take images and I also average the values after each image to get the mean electron count, Y. As the number of images taken increases towards infinity, Y approaches some particular value, which I'll call the signal's theoretical perfect value. This theoretical perfect value is the value I'd get for each X in a world without any sources of noise. But noise causes X to vary around Y's value in each image.You are not defining what you mean by the difference in terms of signal and noise
How can you remove signal without removing the noise ? The noise IS a signal, just an unwanted one
Is that any clearer?