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Nasir Ahmed (born 1940 in Bangalore, India) is a Professor Emeritus of Electrical and Computer and Engineering at University of New Mexico (UNM). He is best known for the development of the digital signal processing transformation known as the discrete cosine transform (DCT).
Fundamental contribution: Discrete Cosine Transform (DCT) 
Ahmed was the leading author of the benchmark publication, Discrete Cosine Transform (with T. Natarajan and K. R. Rao), which has been cited as a fundamental development in many works since its publication. The basic research work and events that led to the development of the DCT were summarized in a later publication by N. Ahmed, "How I came up with the Discrete Cosine Transform".
The DCT is widely used for digital image compression. It is a core component of the 1992 JPEG image compression technology developed by the JPEG Experts Group working group and standardized jointly by the ITU, ISO and IEC. A tutorial discussion of how it is used to achieve digital video compression in various international standards defined by ITU and MPEG (Moving Picture Experts Group) is available in a paper by K. R. Rao and J. J. Hwang which was published in 1996, and an overview was presented in two 2006 publications by Yao Wang. The image and video compression properties of the DCT resulted in its being an integral component of the following widely-used international standard technologies:
|JPEG||Storage and transmission of photographic images on the World Wide Web (JPEG/JFIF); and widely used in digital cameras and other photographic image capture devices (JPEG/Exif).|
|MPEG-1 Video||Video distribution on CD or via the World Wide Web.|
|MPEG-2 Video (or H.262)||Storage and handling of digital images in broadcast applications: digital TV, HDTV, cable, satellite, high speed internet; video distribution on DVD.|
|H.261||First of a family of video coding standards (1988). Used primarily in older video conferencing and video telephone products.|
|H.263||Video telephony over Public Switched Telephone Network (PSTN)|
More recent standards have used integer-based transforms that have similar properties to the DCT but are explicitly based on integer processing rather than being defined by trigonometric functions. As a result of these transforms having similar symmetry properties to the DCT and being, to some degree, approximations of the DCT, they have sometimes been called "integer DCT" transforms. Such transforms are used for video compression in the following technologies pertaining to more recent standards:
|VC-1||Windows media, Blu-ray Discs.|
|H.264/MPEG-4 AVC||The most commonly used format for recording, compression and distribution of high definition video; streaming internet video; Blu-ray Discs; HDTV broadcasts (terrestrial, cable and satellite).|
|HEVC||The emerging successor to the H.264/MPEG-4 AVC standard, having substantially improved compression capability.|
The DCT has been widely cited in patents that have been awarded since 1976, as evident from the following results corresponding to various search scenarios:
- U.S. Patents Quick Search: Title: DCT. Description/Specification: Video;
- U. S. Patent Quick Search: Title: Image. Abstract: DCT;
- U. S Patent Quick Search: Title: Video. Abstract: DCT;
- U.S. Patent Quick Search: Title: Image. Description/Specification: DCT;
- U.S. Patent Quick Search: Title: Video. Description/Speification: DCT.
- Alumnus of the Bishop Cotton Boys' School; received his B.S. degree in Electrical Engineering from the University Visvesvaraya College of Engineering, Bangalore, India in 1961;
- Received his M.S. and Ph.D. degrees in Electrical and Computer Engineering from the University of New Mexico in 1963 and 1966, respectively. His doctoral dissertation adviser was Dr. Shlomo Karni;
- Principal Research Engineer, Honeywell, St. Paul, MN from 1966–68;
- Professor, Electrical and Computer Engineering Department, Kansas State University, 1968–83;
- 1983-2001: University of New Mexico—Professor of Electrical and Computer Engineering, 1983–89; Chair, Department of Electrical and Computer Engineering, 1989–94; Dean of Engineering, 1994–96; Associate Provost for Research and Dean of Graduate Studies, 1996–2001;
- Consultant, Sandia National Laboratories, Albuquerque, NM, 1976–90;
- Major professor: 20 Ph.D, and 28 M.S. students.
Affiliations, awards and service 
- Life Fellow of the IEEE. Became an IEEE Fellow in 1985, "for his contributions to engineering education and to digital signal processing".
- University of New Mexico, School of Engineering Distinguished Engineering Alumnus Award, for “Outstanding Accomplishments in, and Service to, the Engineering Profession, University of New Mexico, the State, and the Nation”, 2001.
- Distinguished Graduate Faculty Member Award, Kansas State University, 1982-83.
- Technical Program Chair, International Conference on Acoustics, Speech and Signal Processing (ICASSP), 1990.
- Selected as the first Associate Editor for "Walsh Functions and EMC Applications", IEEE Transactions on Electromagnetic Compatibility, in 1973, as a result of his research contributions to Walsh functions and digital signal processing.
- Named as a new Associate Editor for the IEEE Transactions on Acoustics, Speech and Signal Processing in March 1982, and then appointed as an Associate Editor for Signal Processing in April 1982.
- Book reviewer for IEEE Transactions/Magazines:
Applications of Walsh Functions and Sequency Theory—H.Schreiber and G.F. Sandy, Eds., (New York IEEE, 1974), 460 pages, ; Digital Signal Processing—W.D. Stanley, (Reston Publishing Co., 1975), 320 pages, ; Digital Signal Analysis—S.D. Stearns, (Hayden Book Company, Rochelle Park, NJ, 1975), 280 pages, ; Sequency Theory: Foundations and Applications –- H.F. Harmuth, (Academic Press, New York, 1977), 505 pages, ; FAST TRANSFORMS, Algorithms, Analysis, Applications—D. F. Elliott & K.R. Rao, Eds. (Academic Press, 1982), 488 pages, .
Appear in refereed journals and conference proceedings pertaining to digital signal processing and related areas; for details see Google Scholar citations , and his books have been translated into Russian, Chinese and Japanese:
- Leading author of Orthogonal Transforms for Digital Signal Processing, Springer-Verlag (Berlin – Heidelberg – New York), 1975, with K.R. Rao; translated into Russian (1980) and Chinese (1979). It is the first text book that included the DCT, and one of the first to present a unified approach to using sinusoidal and non-sinusoidal orthogonal transforms for signal processing. To quote one reviewer, "the authors have treaded where others have feared to venture. In doing so, they have developed a useful book as a first effort in the exciting area of digital signal processing and general orthogonal transforms;" for details, see H. Andrews.
It continues to be cited with respect to a broad spectrum of signal processing applications—see Google-Scholar listing . Available in approximately 234 libraries. A softcover reprint of this first edition is now available—e.g., see Springer-Verlag, Amazon, Barnes and Noble and Alibris.
- Leading author of Discrete-Time Signals and Systems, Reston Publishing Company, Inc. (A Prentice-Hall Company), Reston, Virginia, 1983, with T. Natarajan; translated into Japanese (1990). Available in approximately 220 libraries.
Administrative contributions 
At the University of New Mexico (UNM) as the Associate Provost for Research and Dean of Graduate Studies, 1996-2000:
- In 1996, introduced an organized way of classifying various centers across the UNM campus and its branches (excluding the Division of Health Sciences) into three categories;
- Provided assistance with respect to creating the Consortium of the Americas for Interdisciplinary Science in 2000, which received a grant of over a million dollars from the National Science Foundation (NSF) in 2003;
- Made significant infrastructure improvements in research administration to effectively represent the research activities of UNM.
- Selected Papers on Visual Communication: Technology and Applications, (SPIE Press Book), Editors T. Russell Hsing and Andrew G. Tescher, April 1990, pp. 145-149 .
- Selected Papers and Tutorial in Digital Image Processing and Analysis, Volume 1, Digital Image Processing and Analysis, (IEEE Computer Society Press), Editors R. Chellappa and A. A. Sawchuk, June 1985, p. 47.
- Ahmed, N.; Natarajan, T.; Rao, K. R. (January 1974), "Discrete Cosine Transform", IEEE Transactions on Computers C–23 (1): 90–93, doi:10.1109/T-C.1974.223784
- DCT citations via Google Scholar .
- N. Ahmed,. "How I Came Up With the Discrete Cosine Transform". Digital Signal Processing, Vol. 1, Iss. 1, 1991, pp. 4-5.
- Andrew B. Watson,. "Image Compression Using the Discrete Cosine Transform". Mathematical Journal, 4(1), 1994, pp. 81-88.
- image compression.
- Transform coding.
- G. K. Wallace, JPEG 1992 .
- CCITT 1992 .
- K. R. Rao and J. J. Hwang, Techniques and Standards for Image, Video, and Audio Coding, Prentice Hall, 1996; JPEG: Chapter 8; H.261: Chapter 9; MPEG-1: Chapter 10; MPEG-2: Chapter 11.
- Yao Wang, Video Coding Standards: Part I, 2006
- Yao Wang, Video Coding Standars: Part II, 2006
- Gilbert Strang,. "The Discrete Cosine Transform,". SIAM REVIEW, Vol. 41, No. 1, 1999, pp. 135-147.
- Discrete cosine transform.
- Jae-Beom Lee and Hari Kalva, The VC-1 and H.264 Video Compression Standards for Broadband Video Services, Springer Science+Business Media, LLC., 2008, pp. 217-245; for more on this book, see