Ali Naci Akansu (born May 6, 1958) is a

Turkish-American Turkish Americans ( tr, Türk Amerikalılar) or American Turks are Americans of ethnic Turkish origin. The term "Turkish Americans" can therefore refer to ethnic Turkish immigrants to the United States, as well as their American-born descend ...

Professor of electrical & computer engineering and scientist in

applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...

. He is best known for his seminal contributions to the theory and applications of

linear subspace In mathematics, and more specifically in linear algebra, a linear subspace, also known as a vector subspaceThe term ''linear subspace'' is sometimes used for referring to flats and affine subspaces. In the case of vector spaces over the reals, li ...

methods including

sub-band In signal processing, sub-band coding (SBC) is any form of transform coding that breaks a signal into a number of different frequency bands, typically by using a fast Fourier transform, and encodes each one independently. This decomposition is ...

and

wavelet transform In mathematics, a wavelet series is a representation of a square-integrable (real number, real- or complex number, complex-valued) function (mathematics), function by a certain orthonormal series (mathematics), series generated by a wavelet. This ...

s, particularly the

binomial QMF A binomial QMF – properly an orthonormal binomial quadrature mirror filter – is an orthogonal wavelet developed in 1990. The binomial QMF bank with perfect reconstruction (PR) was designed by Ali Akansu, and published in 1990, using the family ...

(also known as

Daubechies wavelet The Daubechies wavelets, based on the work of Ingrid Daubechies, are a family of orthogonal wavelets defining a discrete wavelet transform and characterized by a maximal number of vanishing moments for some given support. With each wavelet typ ...

) and the multivariate framework to design statistically optimized

filter bank In signal processing, a filter bank (or filterbank) is an array of bandpass filters that separates the input signal into multiple components, each one carrying a single frequency Sub-band coding, sub-band of the original signal. One application of ...

(eigen filter bank).

Biography

Akansu received his B.S. degree from the

Istanbul Technical University Istanbul Technical University ( tr, İstanbul Teknik Üniversitesi, commonly referred to as ITU or The Technical University) is an international technical university located in Istanbul, Turkey. It is the world's third-oldest technical university ...

, Turkey, in 1980, his M.S. and PhD degrees from the Polytechnic University (now

New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...

), Brooklyn, New York, in 1983 and 1987, respectively, all in Electrical Engineering. Since 1987, he has been with the

New Jersey Institute of Technology {{Infobox university , name = {{nowrap, New Jersey Institute of Technology , image = New Jersey IT seal.svg , image_upright = 0.9 , former_names = Newark College of Engineering (1930–1975)Ne ...

where he is a Professor of Electrical and Computer Engineering. He was a Visiting Professor at

Courant Institute of Mathematical Sciences The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...

of the

, 2009–2010. In 1990, he showed that the binomial quadrature mirror filter bank (binomial QMF) is identical to the

filter, and interpreted and evaluated its performance from a discrete-time signal processing perspective. It was an extension of his prior work on

Binomial coefficient In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers and is written \tbinom. It is the coefficient of the t ...

and

Hermite polynomials In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * signal processing as Hermitian wavelets for wavelet transform analysis * probability, such as the Edgeworth series, as well a ...

wherein he developed the Modified Hermite Transformation (MHT) in 1987. The magnitude square functions of

Binomial-QMF A binomial QMF – properly an orthonormal binomial quadrature mirror filter – is an orthogonal wavelet developed in 1990. The binomial QMF bank with perfect reconstruction (PR) was designed by Ali Akansu, and published in 1990, using the family ...

filters are the unique maximally flat functions in a two-band PR-QMF design formulation. He organized the first

wavelet A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the num ...

conference in the United States at NJIT in April 1990, and, then in 1992 and 1994. He published the first

-related engineering book in the literature entitled ''Multiresolution Signal Decomposition: Transforms, Subbands and Wavelets'' in 1992. He made contributions in the areas of optimal filter banks, nonlinear phase extensions of discrete Walsh-

Hadamard transform The Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is an example of a generalized class of Fourier transforms. It performs an orthogonal ...

and

discrete Fourier transform In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex- ...

principal component analysis Principal component analysis (PCA) is a popular technique for analyzing large datasets containing a high number of dimensions/features per observation, increasing the interpretability of data while preserving the maximum amount of information, and ...

of first-order autoregressive process,

sparse approximation Sparse approximation (also known as sparse representation) theory deals with sparse solutions for systems of linear equations. Techniques for finding these solutions and exploiting them in applications have found wide use in image processing, signa ...

digital watermarking A digital watermark is a kind of marker covertly embedded in a noise-tolerant signal such as audio, video or image data. It is typically used to identify ownership of the copyright of such signal. "Watermarking" is the process of hiding digital inf ...

financial signal processing Financial signal processing is a branch of signal processing technologies which applies to signals within financial markets. They are often used by quantitative analysts to make best estimation of the movement of financial markets, such as stock ...

and

quantitative finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require ...

. His publications include the books ''A Primer for

Financial Engineering Financial engineering is a multidisciplinary field involving financial theory, methods of engineering, tools of mathematics and the practice of programming. It has also been defined as the application of technical methods, especially from mathema ...

: Financial Signal Processing and Electronic Trading'' and ''Financial Signal Processing and Machine Learning.'' He was a founding director of the New Jersey Center for Multimedia Research (NJCMR), 1996–2000, and NSF Industry-University Cooperative Research Center (IUCRC) for Digital Video, 1998–2000. He was the vice president for research and development of the

IDT Corporation IDT Corporation (originally standing for International Discount Telecommunications) is a multinational provider of cloud communications, point of sale systems, unified communications, and financial services for businesses and consumers, headqua ...

, 2000–2001, the founding president and CEO of PixWave, Inc. (an

IDT Entertainment Starz Distribution (formerly IDT Entertainment and Starz Media) is the motion picture, animation, television, and home video operating unit of Starz Inc., a subsidiary of Lionsgate. Starz Distribution develops, produces, and acquires original ...

subsidiary) that has built the technology for secure

peer-to-peer Peer-to-peer (P2P) computing or networking is a distributed application architecture that partitions tasks or workloads between peers. Peers are equally privileged, equipotent participants in the network. They are said to form a peer-to-peer n ...

video distribution over the Internet. He was an academic visitor at David Sarnoff Research Center (

Sarnoff Corporation Sarnoff Corporation was a research and development company specializing in vision, video and semiconductor technology. It was named for David Sarnoff, the longtime leader of RCA and NBC, and had headquarters in West Windsor Township, New Jersey, t ...

), at IBM's

Thomas J. Watson Research Center The Thomas J. Watson Research Center is the headquarters for IBM Research. The center comprises three sites, with its main laboratory in Yorktown Heights, New York, U.S., 38 miles (61 km) north of New York City, Albany, New York and with ...

, and at

Marconi Electronic Systems Marconi Electronic Systems (MES), or GEC-Marconi as it was until 1998, was the defence arm of General Electric Company (GEC). It was demerged from GEC and bought by British Aerospace (BAe) on 30 November 1999 to form BAE Systems. GEC then renam ...

. He is an

IEEE Fellow As of 2019, the Institute of Electrical and Electronics Engineers (IEEE) has 5,082 members designated Fellow, each of whom is associated with one of the 41 societies under the IEEE. The Fellow grade of membership is the highest level of membershi ...

(since 2008) with the citation ''for contributions to optimal design of transforms and filter banks for communications and multimedia security.'' According to the

Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a ty ...

, as of May 2022, Akansu had a total of 24 doctorate students.http://genealogy.math.ndsu.nodak.edu/id.php?id=74955 ''Mathematics Genealogy Project : Ali Naci Akansu ''

Selected works

* * * * * *

References

External links

Ali Akansu's home page
*

* ttp://web.njit.edu/~akansu/NJITSYMP1990/AkansuNJIT1STWAVELETSSYMPAPRIL301990.pdf Binomial-QMF Daubechies Wavelets
NJIT Symposia on Subbands and Wavelets 1990, 1992, 1994, 1997

IDT Entertainment Sold to Liberty Media for 186 Million and Interest in IDT
*

Starz Distribution Starz Distribution (formerly IDT Entertainment and Starz Media) is the motion picture, animation, television, and home video operating unit of Starz Inc., a subsidiary of Lionsgate. Starz Distribution develops, produces, and acquires original p ...

A Disgusted CEO Is A Good CEO, Says New Study (At Least For Shareholders)
{{DEFAULTSORT:Akansu, Ali Turkish academics Turkish mathematicians Turkish electrical engineers 20th-century American mathematicians 21st-century American mathematicians Istanbul Technical University alumni New Jersey Institute of Technology faculty Polytechnic Institute of New York University alumni New York University alumni Turkish emigrants to the United States Living people Kabataş Erkek Lisesi alumni Fellow Members of the IEEE Courant Institute of Mathematical Sciences faculty American academics of Turkish descent 1958 births