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Unimodular waveforms x are constructed on the integers with the property that the autocorrelation of x is one at the origin and zero elsewhere. There are three different constructions: exponentials of the form e 2πin α θ , sequences taken from roots of unity, and sequences constructed from the elements of real Hadamard matrices. The first is expected and(More)
Low autocorrelation signals have fundamental applications in radar and communications. We construct constant amplitude zero autocorrelation (CAZAC) sequences x on the integers Z by means of Hadamard matrices. We then generalize this approach to construct unimodular sequences x on Z whose autocorrelations A x are building blocks for all functions on Z. As(More)
An image reconstruction algorithm using compressed sensing (CS) with deterministic matrices of second-order Reed-Muller (RM) sequences is introduced. The 1D algorithm of Howard et al. using CS with RM sequences suffers signiſcant loss in speed and accuracy when the degree of sparsity is not high, making it inviable for 2D signals. This paper describes an(More)
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