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Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applications, including discrete multi-tone (DMT), orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) communications systems. In this paper, we(More)
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 sizable correlation improvements over DFT, Walsh, and Gold codes. We conclude the paper with a multiuser communications scenario where correlation optimized GDFT outperforms DFT and(More)
Recently, Generalized Discrete Fourier Transform (GDFT) has been forwarded as the theoretical framework to design a variety of constant modulus orthogonal complex transforms with non-linear phase. In this paper, we evaluate the auto- and cross-correlation properties of several GDFT solutions and compare them with the popular code families like Gold, Walsh(More)
— Recently, a theoretical framework for Generalized DFT (GDFT) with nonlinear phase functions exploiting the phase space to design various constant modulus orthogonal transforms was introduced. This paper extends prior work to design longer bases widely used in real world communications systems. GDFT provides flexibilities in phase space yielding(More)
Continuous phase modulation has been favorably considered among other modulation types for use in DS-CDMA communications due to its constant envelope and compact spectrum. The purpose of this paper is two-fold. First, a theoretical framework based BER performance calculation of a DS-CDMA system with CPM modulation is presented. Our simulations validate that(More)
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