CUED Publications database

A novel sub-Nyquist Fourier transform estimator based on alias-free hybrid stratified sampling

Ahmad, BI and Tarczynski, A (2016) A novel sub-Nyquist Fourier transform estimator based on alias-free hybrid stratified sampling. In: UNSPECIFIED pp. 4473-4477..

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Abstract

© 2016 IEEE. This paper introduces a novel method of estimating the Fourier transform of deterministic continuous-time signals from a finite number N of their nonuniformly spaced measurements. These samples, located at a mixture of deterministic and random time instants, are collected at sub-Nyquist rates since no constraints are imposed on either the bandwidth or the spectral support of the processed signal. It is shown that the proposed estimation approach converges uniformly for all frequencies at the rate N-5 or faster. This implies that it significantly outperforms its alias-free-sampling-based predecessors, namely stratified and antithetical stratified estimates, which are shown to uniformly convergence at a rate of N-1. Simulations are presented to demonstrate the superior performance and low complexity of the introduced technique.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div C > Engineering Design
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:34
Last Modified: 17 Aug 2017 01:25
DOI: