Srinivasa Ramanujan and signal-processing problems
نویسندگان
چکیده
منابع مشابه
Srinivasa Ramanujan: Going Strong at 125, Part II
The 125th anniversary of the birth of Srinivasa Ramanujan was on December 22, 2012. To mark the occasion, the Notices is publishing a feature article of which this is the second and final installment. This installment contains pieces by Ken Ono, Kannan Soundararajan, Robert Vaughan, and Ole Warnaar on various aspects of Ramanujan’s work. The first installment appeared in the December 2012 issue...
متن کاملSrinivasa Ramanujan: Going Strong at 125, Part I
The 125th anniversary of the birth of the Indian mathematical genius Srinivasa Ramanujan falls on December 22, 2012. To mark this occasion, the Notices offers the following feature article, which appears in two installments. The article contains an introductory piece describing various major developments in the world of Ramanujan since his centennial in 1987, followed by seven pieces describing...
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An aperiodic (low-frequency) spectrum may originate from the error term in the mean value of an arithmetical function such as Möbius function or Mangoldt function, which are coding sequences for prime numbers. In the discrete Fourier transform the analyzing wave is periodic and not well suited to represent the low-frequency regime. In place we introduce a different signal processing tool based ...
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The period estimation and periodic decomposition of a signal are the long-standing problems in the field of signal processing and biomolecular sequence analysis. To address such problems, we introduce the Ramanujan subspace pursuit (RSP) based on the Ramanujan subspace. As a greedy iterative algorithm, the RSP can uniquely decompose any signal into a sum of exactly periodic components, by selec...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2019
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2018.0446