NDLI: Sampling Considerations for Multilevel Crossing Analysis

Content Provider	IEEE Xplore Digital Library
Author	Woods, Richard E. Gonzalez, Rafael C.
Copyright Year	1979
Abstract	This paper examines the amplitude fluctuations of band-limited functions with bounded zeroth absolute moments, and the problems associated with estimating the level crossing profiles of these functions. Level crossings have received increased attention as features for pattern recognition because of their capability to provide information related to both amplitude and frequency behavior. A detailed analysis of the average rate of change of band-limited functions is presented, including a derivation of the least upper bound on functions for which the zeroth absolute moments of the functions are bounded. The average rate of change of a function over an interval in which one endpoint of the interval is an extremum of the function is similarly bounded and used to establish a sampling rate which guarantees that between successive samples of a band-limited function with bounded zeroth absolute moment the function itself does not deviate from the amplitude interval defined by the samples by more than some predefined amplitude change. Based on these results, a theorem is developed which defines the sampling rate required to ensure that, in the estimation of level crossing profiles, no more than 2m (m >> 1) level crossings of m levels are missed per extremum of the sampled function. It is shown that the sampling rate defined by this theorem reduces to the well-known Nyquist rate for the special case of zero crossing analysis.
Sponsorship	IEEE Computer Society
Starting Page	117
Ending Page	123
Page Count	7
File Size	1901456
File Format	PDF
ISSN	01628828
Volume Number	PAMI-4
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1982-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Pattern recognition Signal analysis Upper bound Signal processing Fluctuations Amplitude estimation Frequency measurement Particle measurements Time measurement zero crossings Amplitude variations features level crossings multilevel pattern recognition sampling signal
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Computational Theory and Mathematics Computer Vision and Pattern Recognition Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Auditory motivated level-crossing approach to instantaneous frequency estimation

Scaling Theorems for Zero Crossings

Scaling theorems for zero crossings of bandlimited signals

Some Graphical Considerations in Time Series Analysis

Detection of image structures using the Fisher information and the Rao metric

Energy onset times for speaker identification

The capacity of multilevel threshold functions

A Dual-Bound Algorithm for Very Fast and Exact Template Matching

A tight upper bound on the Bayesian probability of error

Sampling Considerations for Multilevel Crossing Analysis

Similar Documents

Auditory motivated level-crossing approach to instantaneous frequency estimation

Scaling Theorems for Zero Crossings

Scaling theorems for zero crossings of bandlimited signals

Some Graphical Considerations in Time Series Analysis

Detection of image structures using the Fisher information and the Rao metric

Energy onset times for speaker identification

The capacity of multilevel threshold functions

A Dual-Bound Algorithm for Very Fast and Exact Template Matching

A tight upper bound on the Bayesian probability of error

Sampling Considerations for Multilevel Crossing Analysis