Design Tools for Random Sampling in Multistandard Radio Signal Processing

This paper proposes new extensions to random sampling analytical formulations suitable for radio signal spectral analysis. A Fourier transform spectrum estimator is established and verifies the alias-free condition independently of probability density functions for the additive random sampling scheme. Moreover, an energy spectrum density function formulation is proposed for an additive randomly sampled deterministic signal. The obtained theoretical results show random sampling alias suppression. Also, a time-quantized additive random sampling (TQ-ARS) based zero-padding spectral analysis tool is developed. Alias attenuations are computed to design the baseband stage of a TQ-ARS-based software defined radio multistandard receiver. Good performances are shown in terms of relaxing the anti-aliasing filter order, avoiding the automatic gain control, reducing the mean sampling frequency and reconstructing the quantized output spectrum.