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ICASSP
2010
IEEE
13 years 5 months ago
Generalized Discrete Fourier Transform with optimum correlations
— In this paper, we present design methods to optimize nonlinear phase functions of Generalized DFT (GDFT) for minimized auto and cross correlations. It is shown that GDFT offers...
Ali N. Akansu, Handan Agirman-Tosun
TSP
2010
12 years 11 months ago
Generalized discrete Fourier transform with nonlinear phase
Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applicati...
Ali N. Akansu, Handan Agirman-Tosun
JOT
2010
186views more  JOT 2010»
13 years 3 months ago
The Discrete Fourier Transform, Part 6: Cross-Correlation
This paper is part 6 in a series of papers about the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT). The focus of this paper is on correlation....
Douglas Lyon
SYMMETRY
2010
124views more  SYMMETRY 2010»
12 years 11 months ago
SU(2) and SU(1, 1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and
: We propose a group-theoretical approach to the generalized oscillator algebra A recently investigated in J. Phys. A: Math. Theor. 2010, 43, 115303. The case 0 corresponds to th...
Natig M. Atakishiyev, Maurice R. Kibler, Kurt Bern...
AAECC
1993
Springer
170views Algorithms» more  AAECC 1993»
13 years 9 months ago
Exponential Sums as Discrete Fourier Transform with Invariant Phase Functions
We give estimates for exponential sums over finite fields in several variables. We study the case where the phase is either quadratic or more generally invariant under the action ...
Gilles Lachaud