Speaking in terms of 'available power density', start with 1kW/msq, which is how much you can get from the Sun. PV cell arrays of reasonable sizes can provide a useful amount of power for battery charging. Even so, the so-called 'trickle charger' panels that you can buy for your car are very often totally inadequate for anything more than making you feel better about whether your car or boat will start after you've left it for a month or so. A dodgy battery can leak faster than one of these chargers can keep up. They are, of course, very good for all sorts of applications - road signs, weather stations etc. Even so, they need a receiving area of something like 1/4msq.
The total flux of power in the RF bands (except when you are actually sitting on top of a transmitting station) is a tiny fraction of what the Sun provides. If it were otherwise, we would feel warm on a winter's night. On top of that. restricting the bandwidth of any 'harvesting' device means selecting only a few percent of what's buzzing around us.
Let's face it, the nearest approach to what's being proposed here is the good old Crystal Set, which used the power of MF Radio signals, received off a long wire, to power a sensitive headphone. That's a matter of less than 1mW, probably. This proposal is an Engineering Project and will only work if the Rules for Engineering Projects are followed. It doesn't even start in that direction and no amount of technology can summon up Energy when it doesn't exist.