Nasir Ahmed (born 1940 in
Bangalore
Bangalore (), officially Bengaluru (), is the capital and largest city of the Indian state of Karnataka. It has a population of more than and a metropolitan population of around , making it the third most populous city and fifth most ...
, India) is an Indian-American electrical engineer and computer scientist. He is
Professor Emeritus
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...
of Electrical and Computer Engineering at
University of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 ...
(UNM). He is best known for inventing the
discrete cosine transform (DCT) in the early 1970s. The DCT is the most widely used
data compression transformation, the basis for most
digital media
Digital media is any communication media that operate in conjunction with various encoded machine-readable data formats. Digital media can be created, viewed, distributed, modified, listened to, and preserved on a digital electronics device. ' ...
standards (
image
An image is a visual representation of something. It can be two-dimensional, three-dimensional, or somehow otherwise feed into the visual system to convey information. An image can be an artifact, such as a photograph or other two-dimensiona ...
,
video
Video is an electronic medium for the recording, copying, playback, broadcasting, and display of moving visual media. Video was first developed for mechanical television systems, which were quickly replaced by cathode-ray tube (CRT) syste ...
and
audio
Audio most commonly refers to sound, as it is transmitted in signal form. It may also refer to:
Sound
*Audio signal, an electrical representation of sound
*Audio frequency, a frequency in the audio spectrum
*Digital audio, representation of sound ...
) and commonly used in
digital signal processing
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations. The digital signals processed in this manner are ...
. He also described the
discrete sine transform In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length, operating ...
(DST), which is related to the DCT.
Discrete cosine transform (DCT)
The discrete cosine transform (DCT) is a
lossy compression
In information technology, lossy compression or irreversible compression is the class of data compression methods that uses inexact approximations and partial data discarding to represent the content. These techniques are used to reduce data size ...
algorithm that was first conceived by Ahmed while working at the
Kansas State University
Kansas State University (KSU, Kansas State, or K-State) is a public land-grant research university with its main campus in Manhattan, Kansas, United States. It was opened as the state's land-grant college in 1863 and was the first public instit ...
, and he proposed the technique to the
National Science Foundation
The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...
in 1972. He originally intended the DCT for
image compression
Image compression is a type of data compression applied to digital images, to reduce their cost for storage or transmission. Algorithms may take advantage of visual perception and the statistical properties of image data to provide superior r ...
.
Ahmed developed a working DCT
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specificat ...
with his PhD student T. Natarajan and friend
K. R. Rao
Kamisetty Ramamohan Rao was an Indian-American electrical engineer. He was a professor of Electrical Engineering at the University of Texas at Arlington (UT Arlington). Academically known as K. R. Rao, he is credited with the co-invention of di ...
in 1973,
and they presented their results in a January 1974 paper.
It described what is now called the type-II DCT (DCT-II),
as well as its inverse, the type-III DCT (a.k.a. IDCT).
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 Ahmed entitled "How I came up with the Discrete Cosine Transform".
The DCT is widely used for digital
image compression
Image compression is a type of data compression applied to digital images, to reduce their cost for storage or transmission. Algorithms may take advantage of visual perception and the statistical properties of image data to provide superior r ...
. It is a core component of the 1992
JPEG
JPEG ( ) is a commonly used method of lossy compression for digital images, particularly for those images produced by digital photography. The degree of compression can be adjusted, allowing a selectable tradeoff between storage size and imag ...
image compression technology developed by the
JPEG Experts Group working group and standardized jointly by the
ITU
The International Telecommunication Union is a specialized agency of the United Nations responsible for many matters related to information and communication technologies. It was established on 17 May 1865 as the International Telegraph Unio ...
,
ISO
ISO is the most common abbreviation for the International Organization for Standardization.
ISO or Iso may also refer to: Business and finance
* Iso (supermarket), a chain of Danish supermarkets incorporated into the SuperBest chain in 2007
* Iso ...
and
IEC
The International Electrotechnical Commission (IEC; in French: ''Commission électrotechnique internationale'') is an international standards organization that prepares and publishes international standards for all electrical, electronic and r ...
. A tutorial discussion of how it is used to achieve digital ''video'' compression in various international standards defined by
ITU
The International Telecommunication Union is a specialized agency of the United Nations responsible for many matters related to information and communication technologies. It was established on 17 May 1865 as the International Telegraph Unio ...
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
Yao Wang is a Chinese-American video engineer whose research topics include networked video, video coding, computer vision, medical imaging, and the use of machine learning techniques to diagnose lymphedema and concussions. She is a professor of ...
. The image and video compression properties of the DCT resulted in its being an integral component of the following widely used international standard technologies:
The form of DCT used in signal compression applications is sometimes referred to as ''DCT-2'' in the context of a family of discrete cosine transforms, or as ''
DCT-II''.
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. The "integer DCT" designs are conceptually similar to the conventional DCT but are simplified to provide exactly specified decoding with reduced
computational complexity
In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation time (generally measured by the number of needed elementary operations) ...
.
A DCT variant, the
modified discrete cosine transform
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being lapped transform, lapped: it is designed to be performed on consecutive blocks of a larger ...
(MDCT), is used in modern
audio compression formats such as
MP3,
Advanced Audio Coding
Advanced Audio Coding (AAC) is an audio coding standard for lossy digital audio compression. Designed to be the successor of the MP3 format, AAC generally achieves higher sound quality than MP3 encoders at the same bit rate.
AAC has been stan ...
(AAC), and
Vorbis
Vorbis is a free and open-source software project headed by the Xiph.Org Foundation. The project produces an audio coding format and software reference encoder/decoder (codec) for lossy audio compression. Vorbis is most commonly used in conjun ...
(OGG).
The
discrete sine transform In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length, operating ...
(DST) is derived from the DCT, by replacing the
Neumann condition at ''x=0'' with a
Dirichlet condition.
The DST was described in the 1974 paper by Ahmed, Natarajan and Rao.
Ahmed later was involved in the development a DCT
lossless compression
Lossless compression is a class of data compression that allows the original data to be perfectly reconstructed from the compressed data with no loss of information. Lossless compression is possible because most real-world data exhibits statistic ...
algorithm with Giridhar Mandyam and Neeraj Magotra at the
University of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 ...
in 1995. This allows the DCT technique to be used for
lossless compression
Lossless compression is a class of data compression that allows the original data to be perfectly reconstructed from the compressed data with no loss of information. Lossless compression is possible because most real-world data exhibits statistic ...
of images. It is a modification of the original DCT algorithm, and incorporates elements of inverse DCT and
delta modulation. It is a more effective lossless compression algorithm than
entropy coding
In information theory, an entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared by Shannon's source coding theorem, which states that any lossless data compression method ...
.
Background
* Alumnus of the
Bishop Cotton Boys' School; received his B.S. degree in Electrical Engineering from the
University Visvesvaraya College of Engineering
University of Visvesvaraya College of Engineering (UVCE) was established in 1917, under the name Government Engineering College, by Bharat Ratna Sir M. Visvesvaraya. It is the fifth engineering college to be established in the country and first ...
,
Bangalore
Bangalore (), officially Bengaluru (), is the capital and largest city of the Indian state of Karnataka. It has a population of more than and a metropolitan population of around , making it the third most populous city and fifth most ...
in 1961;
* Received his M.S. and Ph.D. degrees in Electrical and Computer Engineering from the
University of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 ...
in 1963 and 1966, respectively. His doctoral dissertation adviser was Shlomo Karni;
* Principal Research Engineer,
Honeywell
Honeywell International Inc. is an American publicly traded, multinational conglomerate corporation headquartered in Charlotte, North Carolina. It primarily operates in four areas of business: aerospace, building technologies, performance ma ...
, St. Paul, Minnesota from 1966–68;
* Professor, Electrical and Computer Engineering Department,
Kansas State University
Kansas State University (KSU, Kansas State, or K-State) is a public land-grant research university with its main campus in Manhattan, Kansas, United States. It was opened as the state's land-grant college in 1863 and was the first public instit ...
, 1968–83;
* 1983-2001:
University of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 ...
—Presidential 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, New Mexico, 1976–90.
* Married to Esther Parente-Ahmed. Son, Michael Ahmed Parente.
Books
*
*
Popular culture
In
season 5
A season is a division of the year based on changes in weather, ecology, and the number of daylight hours in a given region. On Earth, seasons are the result of the axial parallelism of Earth's tilted orbit around the Sun. In temperate and po ...
, episode 8 of NBC's ''
This Is Us'', Ahmed's story was told to highlight the importance of image and video transmission over the Internet in modern society, particularly during the
COVID-19 pandemic
The COVID-19 pandemic, also known as the coronavirus pandemic, is an ongoing global pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The novel virus was first identif ...
. The episode ends with a picture of Ahmed and his wife, along with captions explaining the importance of his work, and that producers spoke to the couple over video chat to understand their story and incorporate it into the episode.
References
External links
*
* IEEE Fellow in 1985, "for his contributions to engineering education and to digital signal processing"
* Distinguished Engineering Alumnus Award,
University of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 ...
,200
* Distinguished Graduate Faculty Member Award,
Kansas State University
Kansas State University (KSU, Kansas State, or K-State) is a public land-grant research university with its main campus in Manhattan, Kansas, United States. It was opened as the state's land-grant college in 1863 and was the first public instit ...
, 1982-8
{{DEFAULTSORT:Ahmed, N.
1940 births
20th-century American inventors
American electrical engineers
American information theorists
Bishop Cotton Boys' School alumni
Fellow Members of the IEEE
Indian computer scientists
Indian electrical engineers
Indian electronics engineers
Indian emigrants to the United States
Indian inventors
Internet pioneers
Living people
University of New Mexico alumni
University of New Mexico faculty
University Visvesvaraya College of Engineering alumni