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NMSU mathematics department head releases second book

The head of the mathematics department at New Mexico State University has co-authored a book about the underlying mathematics found in communication signals such as cell phones or wired systems. "Duration and Bandwidth Limiting," published in 2012, was written for professionals and graduate students who have an interest in the field.

Cover of "Duration and Bandwidth Limiting"
'Duration and Bandwidth Limiting,' published in 2012, is the second book co-authored by Joseph Lakey, a professor and mathematics department head at New Mexico State University, and longtime collaborator Jeffrey Hogan. (Courtesy photo)

"The book provides a concise but comprehensive study of the theory of time and band limiting,and of its applications to the modeling of communications channels, and to the design of multiband signals that are becoming increasingly important in the field of communications," said Joseph Lakey, who is also a professor in the mathematics department in the College of Arts and Sciences.

This is the second book for Lakey and longtime collaborator Jeff Hogan, who is a senior lecturer at the School of Mathematical and Physical Sciences at the University of Newcastle in Australia.

Lakey met Hogan in 1994 when he was doing postdoctoral work as an R.H. Bing Instructor in the mathematics department at University of Texas at Austin.

"Our mentor suggested that we work on something that we had a common interest on, and eventually, we got to know each other pretty well," Lakey said. "We've done a lot of work together."

The ideas for "Duration and Bandwidth Limiting" originated in 2006 while Lakey was working on a project for the Defense Advanced Research Projects Administration with colleagues Chuck Creusere, an engineering professor at NMSU, Chris Brislawn from Los Alamos National Laboratory and Scott Izu, one of Lakey's former students who received his doctorate in 2009.

"I wasn't allowed to think about my own new ideas during that time, because we had to focus on the job at hand," said Lakey. "The next couple of years after that, I sort of started to develop some of the ideas."

The authors began writing the book in 2009 when Lakey was on a year-long sabbatical at Washington University in St. Louis.

Their first book, "Time Frequency and Time Scale Methods," published in 2003, focuses on wavelets.

"These projects, they take a lot of effort, and without the sabbaticals that NMSU funds, projects like this probably would not be possible," Lakey said.

"Duration and Bandwidth Limiting" can be purchased from the publisher, Birkhauser at http://www.springer.com/birkhauser/mathematics/book/978-0-8176-8306-1 or at Amazon.com.

For more information contact Lakey at 575-646-1064 or jlakey@nmsu.edu.