Path loss and matched filter gain of free space and ground reflection channels for UWB radio systems

In this paper, the path loss and matched filter gain of free space and ground reflection channels for UWB radio systems are proposed. The passband rectangular pulse with specific center frequency and bandwidth is used as the transmitted signal. The complex form Friis´ transmission formula is used for the UWB channel. The received signal is evaluated. The UWB path loss is defined as the ratio between the maximum amplitude of the transmitted and received signal waveforms. At the receiver, the matched filter detection with its frequency transfer function satisfying the constant noise power condition is used. The UWB matched filter gain is defined as the ratio between the maximum amplitude of the signal waveform at the output of the matched filter and that of the received signal waveform. The closed form path loss and matched filter gain expressions are derived. The characteristics of the path loss and matched filter gain are shown and discussed in this paper.