Future Generation Computer Systems
Random sampling estimates of Fourier transforms: antithetical stratified Monte Carlo
IEEE Transactions on Signal Processing
Spectral analysis of nonuniformly sampled data -- a review
Digital Signal Processing
Consistent estimation of non-bandlimited spectral density from uniformly spaced samples
IEEE Transactions on Information Theory
Wideband spectrum sensing technique based on random sampling on grid: Achieving lower sampling rates
Digital Signal Processing
Weighted PNS sequences for digital alias-free processing signals
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
Quality assessment of reconstructing signals from arbitrarily distributed samples
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
Recovery of the optimal approximation from samples in wavelet subspace
Digital Signal Processing
| Hi-index | 35.75 |
Nonuniform sampling can facilitate digital alias-free signal processing (DASP), i.e., digital signal processing that is not affected by aliasing. This paper presents two DASP approaches for spectrum estimation of continuous-time signals. The proposed algorithms, named the weighted sample (WS) and weighted probability (WP) density functions, respectively, utilize random sampling to suppress aliasing. Both methods produce unbiased estimators of the signal spectrum. To achieve this effect, the computational procedure for each method has been suitably matched with the probability density function characterising the pseudorandom generators of the sampling instants. Both proposed methods are analyzed, and the qualities of the estimators they produce have been compared with each other. Although none of the proposed spectrum estimators is universally better than the other one, it has been shown that in practical cases, the WP estimator produces generally smaller errors than those obtained from WS estimation. A practical limitation of the approaches caused by the sampling-instant jitter is also studied. It has been proven that in the presence of jitter, the theoretically infinite bandwidths of WS and WP signal analyses are limited. The maximum frequency up to which these analyses can be performed is inversely proportional to the size of the jitter.