Lower bound on the achievable dsp performance for localizing steplike continuous signals in noise

Avishai Bartov, Hagit Messer

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Estimating the time of arrival (TOA) of step-like signals (e.g., a rectangular pulse), which are, theoretically, of infinite bandwidth, is essential for many applications. In modern signal processing, the TOA estimator is implemented by digital signal processing (DSP) techniques. Existing tools for studying the TOA estimation performance do not take into consideration the estimation error caused by the finite sampling rate of the system. In this paper, we present a new Cramér-Rao type lower bound that is used to evaluate the achievable performance of TOA estimation in a given processing sampling rate. We use it to refer to the important question of what processing sampling rate to use when localizing a step-like signal. We show that for a given signal-to-noise ratio (SNR), there exists a certain sampling rate threshold beyond which performance does not improve by increasing the sampling rate, and we show how to find it.

Original languageEnglish
Title of host publicationBayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking
PublisherWiley-IEEE Press
Number of pages7
ISBN (Electronic)9780470544198
ISBN (Print)0470120959, 9780470120958
StatePublished - 1 Jan 2007
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2007 by the Institute of Electrical and Electronics Engineers, Inc. All rights reserved.


  • Digital signal processing
  • Estimation error
  • Filtering theory
  • Matched filters
  • Signal to noise ratio


Dive into the research topics of 'Lower bound on the achievable dsp performance for localizing steplike continuous signals in noise'. Together they form a unique fingerprint.

Cite this