mathematics

Ronny Hadani

Ronny Hadani is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ronny Hadani rather than just read about it. In short: Ronny Hadani (Hebrew: רוני הדני) is an Israeli-American mathematician, specializing in representation theory and harmonic analysis, with applications to signal processing. He is known for developing Orthogonal Time Frequency and Space (OTFS) modulating techniques, a method used for making wireless 5G communications faster, that is also being considered for use in 6G technology.

Key takeaways

Ronny Hadani belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Ronny Hadani to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Ronny Hadani from memory before moving on to harder problems.

Reference excerpt

Ronny Hadani (Hebrew: רוני הדני) is an Israeli-American mathematician, specializing in representation theory and harmonic analysis, with applications to signal processing. He is known for developing Orthogonal Time Frequency and Space (OTFS) modulating techniques, a method used for making wireless 5G communications faster, that is also being considered for use in 6G technology. The technology is being used by several wireless 5G related companies and Cohere Technologies, a company he has co-founded.

Early life and education Hadani received his MS degree in Computer Science from the Weizmann Institute of Science in 1999 under the supervision of David Harel. He received his Ph.D. degree in Pure Mathematics from Tel-Aviv University in 2006 under the supervision of Joseph Bernstein.

Career

Academia From the years 2006 to 2009, Hadani held an L.E. Dickson Postdoctoral Fellowship of Mathematics at the University of Chicago. Since 2009, he has been an associate professor of mathematics at the University of Texas, Austin.

Cohere Technologies In 2010, Hadani co-founded Cohere Technologies with Shlomo Rakib. The company is a Silicon Valley wireless startup that focuses on wireless improvements using OTFS and the Delay-Doppler model to improve FDD/TDD spectrum performance with channel detection, estimation, prediction, and precoding software for 4G and 5G networks, compliant with 3GPP standards and O-RAN. In December 2022, during the inaugural 6G Evolution Summit event opening keynote, Fierce Wireless moderator referred to Hadani as “The Father of OTFS.”

Patents Hadani has been granted over 70 OTFS related patents, which include a communications method employing Orthogonal Time Frequency Space (OTFS) shifting and spectral shaping, which allows users to transmit and receive at least one frame of data ([D]) over a wireless communications link. He has also patented methods of operating and implementing wireless OTFS communications systems. His OTFS technology has been tested by companies such as C Spire, 5TONIC, Telefónica, and Deutsche Telekom,

Selected publications

Papers in journals Hadani, Ronny; Gurevich, Shamgar (July 2014). "The categorical weil representation". Journal of Symplectic Geometry. arXiv:1108.0351. Fish, Alexander; Gurevich, Shamgar; Hadani, Ronny; Sayeed, Akbar M.; Schwartz, Oded (November 2013). "Delay-doppler channel estimation in almost linear complexity". IEEE Transactions on Information Theory. 59 (11): 7632–7644. arXiv:1208.4405. Bibcode:2013ITIT...59.7632F. doi:10.1109/TIT.2013.2273931. S2CID 230975. Hadani, Ronny; Gurevich, Shamgar (2012). "The Weil representation in characteristic two" (PDF). Advances in Mathematics. 230 (3): 894–926. arXiv:0808.1664. doi:10.1016/j.aim.2012.03.008. S2CID 17843124. Hadani, Ronny; Gurevich, Shamgar (2008). "The geometric Weil representation". Advances in Mathematics. 13 (3). arXiv:math/0610818. Bibcode:2006math.....10818G. Gurevich, Shamgar; Hadani, Ronny; Sochen, Nir (August 2008). "The Finite Harmonic Oscillator and Its Applications to Sequences, Communication, and Radar". IEEE Transactions on Information Theory. 54 (9): 4239–4253. arXiv:0808.1495. Bibcode:2008ITIT...54.4239G. doi:10.1109/TIT.2008.926440. S2CID 6037080.

Academic works According to Google Scholar, Hadani has published over 75 research papers and patents. His works have been cited over 3300 times.

Patents OTFS methods of data channel characterization and uses thereof, R Hadani, SS Rakib, US Patent 9,668,148, Cited 188 Times. Signal modulation method resistant to echo reflections and frequency offsets, SS Rakib, R Hadani. US Patent 9,083,595, Cited 183 Times. Modulation and equalization in an orthonormal time-frequency shifting communications system, R Hadani, SS Rakib, US Patent 9,590,779, Cited 182 times. Communications method employing orthonormal time-frequency shifting and spectral shaping, R Hadani, SS Rakib, US Patent 8,547,988, Cited 96 Times.

Academic papers Orthogonal time frequency space modulation, R Hadani, S Rakib, M Tsatsanis, A Monk, AJ Goldsmith, AF Molisch, 2017 IEEE Wireless Communications and Networking Conference (WCNC), 1-6, Cited 228 Times. Viewing angle classification of cryo-electron microscopy images using eigenvectors, A Singer, Z Zhao, Y Shkolnisky, R Hadani, SIAM Journal on Imaging Sciences 4 (2), 723-759, Cited 92 Times.

References

External links Cohere Technologies Ronny Hadani on LinkedIn Communication Theory & Systems: Ronny Hadani Representation Theoretic Patterns in 3D Cryo-Electron Microscopy - Prof. Ronny Hadani

Illustrations

Worked examples

Example 1 — a first encounter with Ronny Hadani

Start with the simplest possible case. Write down what Ronny Hadani claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ronny Hadani before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ronny Hadani ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ronny Hadani

In research: Ronny Hadani appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Ronny Hadani in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Ronny Hadani is common in secondary-school and first-year university syllabi. It links to neighbouring topics Israeli mathematicians, Living people, Tel Aviv University alumni, so understanding it makes those chapters shorter.
In everyday life: Look for Ronny Hadani outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ronny Hadani in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Ronny Hadani means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Ronny Hadani out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ronny Hadani in simple terms?

Why does Ronny Hadani matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ronny Hadani?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ronny Hadani.