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20182023
most citedModel Design and Representations of CM Sequences

19 citations · 19 across the 12 of their papers we have counts for

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12 papers

eess.SY2023

A Sequential Detection and Tracking of Very Low SNR Objects

Reza Rezaie

A sequential detection and tracking (SDT) approach is proposed for detection and tracking of very low signal-to-noise (SNR) objects. The proposed approach is compared with two exis…

eess.IV2022

Track Before Detect of Low SNR Objects in a Sequence of Image Frames Using Particle Filter

Reza Rezaie

A multiple model track-before-detect (TBD) particle filter-based approach for detection and tracking of low signal to noise ratio (SNR) objects based on a sequence of image frames…

eess.SY2021

Mathematical Modeling of Guidance Trajectory with a Moving Destination Using Conditionally Markov Modeling

Reza Rezaie, X. Rong Li

A trajectory of a destination-directed moving object (e.g. an aircraft from an origin airport to a destination airport) has three main components: an origin, a destination, and mot…

eess.SY2019★ 19 cited

Model Design and Representations of CM Sequences

Reza Rezaie, X. Rong Li

Conditionally Markov (CM) sequences are powerful mathematical tools for modeling problems. One class of CM sequences is the reciprocal sequence. In application, we need not only CM…

eess.SY2019

Equivalent CM Models

Reza Rezaie, X. Rong Li

The conditionally Markov (CM) sequence contains different classes, including Markov, reciprocal, and so-called and (two CM classes defined in our previous work). Mark…

math.PR2019

Singularity in CM Sequences

Reza Rezaie, X. Rong Li

Most existing results about modeling and characterizing Gaussian Markov, reciprocal, and conditionally Markov (CM) processes assume nonsingularity of the processes. This assumption…

eess.SY2018

CM Modeling of Trajectory

Reza Rezaie, X. Rong Li

Information about the waypoints of a moving object, e.g., an airliner in an air traffic control (ATC) problem, should be considered in trajectory modeling and prediction. Due to th…

eess.SY2018

CM Sequence based Trajectory Modeling with Destination

Reza Rezaie, X. Rong Li

In some problems there is information about the destination of a moving object. An example is an airliner flying from an origin to a destination. Such problems have three main comp…

math.PR2018

Markov-Induced CM Model

Reza Rezaie, X. Rong Li

Conditionally Markov (CM) sequences are powerful mathematical tools for modeling random phenomena. There are several classes of CM sequences one of which is the reciprocal sequence…

math.PR2018

Sample-Path Equivalent CM Models

Reza Rezaie, X. Rong Li

The conditionally Markov (CM) sequence contains different classes including Markov, reciprocal, and so-called and (two special classes of CM sequences). Each class ha…

math.PR2018

Reciprocal Sequences as CM Sequences

Reza Rezaie, X. Rong Li

The conditionally Markov (CM) sequence contains several classes, including the reciprocal sequence. Reciprocal sequences have been widely used in many areas of engineering, includi…

math.PR2018

Fundamentals of Gaussian CM Sequences

Reza Rezaie, X. Rong Li

Markov processes are widely used in modeling random phenomena/problems. However, they may not be adequate in some cases where more general processes are needed. The conditionally M…