Parabolic dish antennas are the most well known reflector antenna which can give very high gain and consequently, narrow beam-width  at microwave frequency with considerable bandwidth (depending on the size of antenna and frequency of operation).
Before discussing its various parameters, let us see how I am using the parabolic dish in my set-up. The 3.7-meter parabolic dish gathers signal from a narrow patch of the sky and focuses the radio signal at feed which in turn act as a transducer and sends in the signal for further processing and analysis. 
Noting that we have already procured a parabolic dish of diameter = 3.7-meter and f/D = 0.38 (from our observation: see the appendix_2), so we can not do anything to improve the gain or performance of the parabolic dish. But fortunately, the dish complements our requirement. In the following section, I will discuss various parameters of the parabolic dish antenna which I calculated theoretically and then simulated on CAD FEKO. At the end, I will compare both results and discuss on the efficiency of the antenna and which kind of feed will ameliorate its performance.