On the generation of periodic discrete structures with identical two-point correlation
2020 ◽
Vol 476
(2242)
◽
pp. 20200568
Keyword(s):
Strategies for the generation of periodic discrete structures with identical two-point correlation—called 2PC-equivalent—are developed. It is shown that starting from a set of 2PC-equivalent root structures, 2PC-equivalent child structures of arbitrary resolution and number of phases (e.g. material phases) can be generated based on phase extension through trivial embeddings, kernel-based extension and phase coalescence. Proofs are provided by means of discrete Fourier transform theory. A Python 3 implementation is offered for reproduction of examples and future applications.
1993 ◽
Vol 140
(2)
◽
pp. 101
2018 ◽
Vol E101.A
(8)
◽
pp. 1204-1214
◽
2014 ◽
Vol 46
(7)
◽
pp. 53-68
◽
Keyword(s):
On the Highest Accuracy of Spectral Estimation of Harmonic Signals by the Discrete Fourier Transform
1999 ◽
Vol 31
(1-3)
◽
pp. 87-94
2018 ◽
Vol 6
(5)
◽
pp. 16-22
1978 ◽
Vol 2
(1)
◽
pp. 16
Keyword(s):
2017 ◽
Vol 28
(12)
◽
pp. 3615-3625
◽
Keyword(s):