The finite Heisenberg-Weyl groups in radar and communications
EURASIP Journal on Applied Signal Processing
Computing Equiangular Lines in Complex Space
Mathematical Methods in Computer Science
High-resolution radar via compressed sensing
IEEE Transactions on Signal Processing
Full length article: On the size of incoherent systems
Journal of Approximation Theory
Lower bounds on the maximum cross correlation of signals (Corresp.)
IEEE Transactions on Information Theory
Complex sequences with low periodic correlations (Corresp.)
IEEE Transactions on Information Theory
Grassmannian beamforming for multiple-input multiple-output wireless systems
IEEE Transactions on Information Theory
Achieving the Welch bound with difference sets
IEEE Transactions on Information Theory
On quasi-orthogonal signatures for CDMA systems
IEEE Transactions on Information Theory
Complex Codebooks From Combinatorial Designs
IEEE Transactions on Information Theory
A Generic Construction of Complex Codebooks Meeting the Welch Bound
IEEE Transactions on Information Theory
The Finite Harmonic Oscillator and Its Applications to Sequences, Communication, and Radar
IEEE Transactions on Information Theory
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Digital signals are complex-valued functions on Z n . Signal sets with certain properties are required in various communication systems. Traditional signal sets consider only the time distortion during transmission. Recently, signal sets taking care of both the time and phase distortion have been studied, and are called time-phase signal sets. Several constructions of time-phase signal sets are available in the literature. There are a number of bounds on time signal sets (also called codebooks). They are automatically bounds on time-phase signal sets, but are bad bounds. The first objective of this paper is to develop better bounds on time-phase signal sets from known bounds on time signal sets. The second objective of this paper is to construct four series of time-phase signal sets, one of which is optimal.