— 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...
Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applicati...
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....
: 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...
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 ...