I am new to communication systems and am working on a model for task offloading on edge computing. One key parameter I'm aiming to determine is the data transmission rate. While I am familiar with Shannon's capacity formula, I've noticed that some resources incorporate channel gain, especially with respect to distance, and some not. This has introduced some confusion for me.
System Setup:
-Distance Range: From a few meters to several kilometers.
-Devices: Regular phones or laptops (as edge devices) and cloud servers.
Known Parameters:
Transmission Power
White Gaussian Noise Power
Path Loss Exponent
Points of Confusion:
Some resources suggest that the channel gain is a function that multiplies with distance. How is this typically modeled? I've also come across references where the noise power is multiplied by the bandwidth. How does this impact the overall transmission rate calculation? Questions:
With the known parameters and points of confusion, what are the well-known approaches to determine the transmission rate for such a system setup?
-How does Shannon's formula or other related formulas adapt when incorporating channel gain affected by varying distances?
-Are there specific models or formulas that consider channel gain with distance before determining transmission rate?
-Are there any other specific considerations I should be aware of, given the distances and the type of devices involved?
After reviewing numerous resources, I've found these formulas that seem to align with my model for determining the transmission rate. I would appreciate any feedback or suggestions
I would greatly appreciate any insights, references, or clarifications on this matter.
Also please on the comments let me how I make my post clear for expert Thank you!