Kooroosh.
Off topic but worthy of comment. I've studied this issue for some time and agree that better experiments are required as theory and analysis are incorrect, that yours is reasonable set-up, but also that the findings will be analysed as finding precisely 'c'. Are you familiar for instance with Lodges 'spinning glass disc' experiments? and Ruyon Wang's recent advanced 'Sagnac' experiments? i.e.Modified Sagnac experiment etc.
Lodge and other key experimental analysis to inform new experimental set ups are in my own joint papers here; Stellar Aberration & paradox free SR, and with full interferometer analysis here Resolving emission theory anomalies; http://arxiv.org/abs/1307.7163
Lastly my 2010 finalist essay here fully addressed the topic and describing the only coherent and consistent solution matching ALL the evidence; 2020 Vision.
We also need to refine your specification. When you write; "The measuring frame which comprising of measuring devices, is stationary relative to the emitting frame" that by convention means it is NOT IN RELATIVE MOTION with respect to (wrt) the emitter rest frame. But I see that is not what you meant, so it should strictly read; 'at rest in the stationary frame.' However it'd be better to define the frames as K1 and K2 because EITHER could be arbitrarily considered 'stationary', unless you assign some frame K to the vacuum (which is reasonable, but you don't).
Now a question. If your 'light detectors' have a glass lens with a free electron surface structure and dense medium with refractive index 'n' at what speed wrt the lens rest frame would you expect light to pass through? Now lets take TWO lenses with one in motion at 0.1c towards the emitter and one at 0.1c away from it. Would you expect light to pass through the glass lenses at different speeds? of course not, and in experiments we always find c/n, but with Doppler shifts. So what may that be telling us?
I hope you understand all that. Do challenge or ask if you don't.
Very best,
Peter