Designing Signals with Good Correlation and Distribution Properties
Arindam Bose, Neshat Mohammadi, Mojtaba Soltanalian · 2018
Sequences with good correlation and distribution properties play a central role in various areas of signal processing. In this paper, we propose an efficient computational framework for designing sequences with two key properties: (i) an impulse-like auto-correlation, and (ii) a probability distribution of sequence entries which is uniform in nature; although the results can be easily extended to an arbitrary distribution. The proposed method is based on utilizing the Fast Fourier Transform (FFT) operations, and thus can generate very long sequences in small time frames. Several numerical examples are provided to exhibit the performance of the suggested construction framework.