This paper deals with two major considerations for pilot symbol assisted orthogonal frequency division multiplexing (PSA-OFDM) systems when operated over Rayleigh fading channels. One of them is to decide how many pilot symbols should be used and the other is where to place these pilot symbols, i.e. pilot pattern. Incorporating linear interpolation and choosing appropriate system parameters, we first derive analytically the bit-error-rate (BER) for frequency-selective fading, time-selective fading and correlated fading, respectively. Based,on the theoretical BER, the optimal training can be determined numerically for a specific fading environment. Furthermore, we propose a new and simple pilot pattern for PSA-OFDM system and its performance...