Closed-Form Expressions and Bounds for the Signal to Noise Ratio in IR-UWBoF Systems

Careful design and photonic generation of power efficient impulse radio ultra wideband (IR-UWB) waveforms by shaping their spectra is one of the most important challenges in the analysis and design of IR-UWBoF systems. Throughout this letter, theoretical expressions for the signal to noise ratio of IR-UWB waveforms in terms of their spectra are developed and optimized. Two common types of IR-UWB waveforms are considered. Numerical simulations results show excellent agreement with the obtained theoretical expressions.