Search Results - "Tolimieri, Richard"

M-Ary Character-Based Sequences of Length pq With Low Autocorrelation by Brodzik, Andrzej K., Tolimieri, Richard

“…Using elementary properties of primitive multiplicative characters we derive the autocorrelation of a unimodular <inline-formula> <tex-math notation="LaTeX">M…”
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Bat Chirps With Good Properties: Zak Space Construction of Perfect Polyphase Sequences by Brodzik, A.K., Tolimieri, R.

“…Previously, a discretization of the linear FM chirp of length N = KL 2 , L and KL isin Z, was given and the conditions for its minimal Zak space support were…”
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Fourier and Zak transforms of multiplicative characters by Brodzik, Andrzej K, Tolimieri, Richard

“…In this paper we derive formulas for the N-point discrete Fourier transform and the R1 x R2 finite Zak transform of multiplicative characters on Z/N, where N…”
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Poisson Summation, the Ambiguity Function, and the Theory of Weyl-Heisenberg Frames by Tolimieri, Richard, Orr, Richard S.

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Under-sampled Weyl–Heisenberg expansions via orthogonal projections in Zak space by Joseph, Anthony, Brodzik, Andrzej K., Tolimieri, Richard

“…An algorithm is presented which orthogonally projects signals into integer under-sampled Weyl–Heisenberg subspaces. The algorithm operates by…”
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Recursive fast algorithms and the role of the tensor product by Granata, John, Conner, Michael, Tolimieri, Richard

“…The use of the tensor product for modeling and designing FFT algorithms is addressed. The benefit of the tensor product approach lies in the strong connection…”
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Extrapolation of band-limited signals and the finite Zak transform by Brodzik, Andrzej K., Tolimieri, Richard

“…We propose a new formulation of the Gerchberg–Papoulis algorithm for extrapolation of band-limited signals. The new formulation is obtained by translating the…”
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The discrete Zak transform application to time-frequency analysis and synthesis of nonstationary signals by Auslander, L., Gertner, I.C., Tolimieri, R.

“…Algorithms to compute coefficients of the finite double sum expansion of time-varying nonstationary signals and to synthesize them from a finite number of…”
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Polyphase sequences with good correlation properties by Brodzik, A.K., Tolimieri, R.

“…Design of sequences with good auto and crosscorrelation properties is one of the main tasks in several applications, including multi-user radar, sonar, and…”
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Algebra of multidimensional multirate structures by Tolimieri, Richard, An, Myoung

“…In several recent papers, the Aryabhatta/Bezout identity and the Smith form for integer matrices were applied to the problem of determining a complete set of…”
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Solvable Groups and Quadratic Forms by Tolimieri, Richard

“…A solvable Lie group and a unitary representation are constructed from a given binary quadratic form. The multiplicity of this representation is related to the…”
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Homogeneous space with finite invariant measure by Tolimieri, Richard

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A new approach for computing multidimensional DFT's on parallel machines and its implementation on the iPSC/860 hypercube by Kechriotis, G., Myoung An, Bletsas, M., Tolimieri, R., Manolakos, E.S.

“…Proposes a new approach for computing multidimensional DFTs that reduces interprocessor communications and is therefore suitable for efficient implementation…”
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Algorithms for Discrete Fourier Transform and Convolution by N., H., Tolimieri, Richard, An, Myoung, Lu, Chao

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FFT algorithms for prime transform sizes and their implementations on VAX, IBM3090VF, and IBM RS/6000 by Lu, C., Cooley, J.W., Tolimieri, R.

“…Variants of the Winograd fast Fourier transform (FFT) algorithm for prime transform size that offer options as to operational counts and arithmetic balance are…”
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THEORY OF SOLVMANIFOLDS by TOLIMIERI, RICHARD

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Analysis on the Heisenberg Manifold by Tolimieri, Richard

“…A study of the function theory on the Heisenberg manifold in terms of theta functions. Subject to an explicit error, a $C^\infty$-function is written as an…”
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Characterizing the radar ambiguity functions by Auslander, L., Tolimieri, R.

“…Ambiguity functions are expanded relative to cross-ambiguity functions associated with a special orthonormal basis of signal space related to a rectangular…”
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New algorithms for the FFT computation of symmetric and translational complex conjugate sequences by Lu, C., Tolimieri, R.

“…A previously proposed algorithm for the FFT (fast Fourier transform) computation of real symmetric and antisymmetric sequences reduced the N-point symmetric…”
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A fast algorithm for half-cyclic convolution by Liu, H., Tolimieri, R.

“…The definition of half-cyclic convolution is introduced. It is shown that the computation for cyclic convolution can be carried out based on the half-cyclic…”
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