I don't understand how you would go about giving an RF ground to your antenna. Would it not become an additional radial and affect the signal?
What is the proper way to ground your station's antenna?
To answer your first question, yes, it will affect the signal, but it's a good thing.
What you do to (RF) ground your antenna(s) depends on what type of antenna you are using. For instance, dipoles do not require a ground. Typical vertical antennas do require a graound though some types such as the GAP Challenger use 3 wires insulated from ground (in this application they are referred to as a counterpoise).
In a typical vertical antenna installation, your radiator is λ/4 tall (electrically at least, it might be physically shorter through the use of coils or whatever). This is referred to as a monopole and is half of a good antenna. You make the ground be the other half of the antenna but creating a ground plane with radials. This creates a virtual image antenna that completes the overall antenna effect. These radials are usually buried just below the surface or stapled down to the ground and grass is allowed to grow through them to hold them down.
That's your RF ground. In addition, it's usually desirable to have an electrical ground for lightning and static electricity protection. This is achieved by making a lower impedence path to ground than you feedline presents. Usually one or more 8' copper-clad rods are pounded into the ground at the base of the antenna and bound to it. The area of effect of this is below the ground plane and doesn't detract from the signal.
If you are looking for the safety ground, as lighting protection, it's mostly done by inserting a copper rod in the ground, and when you are not using the sation, the anthena should be connected to that rod, so if a lighting hits it, there is no significant damage.
The following comments might be of interest to those using base-fed, vertical monopoles:
Medium-wave AM broadcast stations typically use an r-f ground path through a set of 120 x 1/4-wavelength, uninsulated, copper conductors buried radially in the earth, with their common point located directly below the base of their radiators. They also use a series-connected arc gap between the tower base and one or more ground rods buried near the tower base. The gap spacing is set to flash over when the radiator base voltage exceeds the normal value for the modulated peak power at the feedpoint, by a given amount. Also the tower base is connected directly to the ground rod(s) through an r-f choke at the operating frequency, to avoid d-c (static) buildup voltages on the tower.
Even though their vertical radiators can approach heights of 1,000 feet AGL, such AM broadcast stations continue to operate during nearby lightning events without component damage(s), and without loss of service except for the very short (x-millisecond) intervals when the arc gap flashes over, because protection circuits in their transmitter sense the arc event and kill their r-f output for that time interval.