{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"institution":[{"name":"Research Square"}],"indexed":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:31:52Z","timestamp":1722472312047},"posted":{"date-parts":[[2024,6,26]]},"group-title":"In Review","reference-count":32,"publisher":"Springer Science and Business Media LLC","license":[{"start":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T00:00:00Z","timestamp":1719360000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2024,6,6]]},"abstract":"<title>Abstract<\/title>\n        <p>Since published in 1988, the FFT Accumulation Method (FAM) has been used extensively to compute the Spectral Correlation Function (SCF) and the Spectral Coherence Function (SCoF) to obtain or detect cyclic features of cyclostationary signals. When the input is a Gaussian random variable (r.v.), the SCF (or SCoF) estimates are also random variables with some probability density function (pdf).\nAlthough the FAM is considered the most computationally efficient method, there has been no in-depth statistical analysis of the algorithm.\nThis paper analyzes the statistics of spectral estimates using the FAM algorithm by obtaining the pdf for the points covering the frequency and cycle frequency (<italic>f<\/italic>;\u03b1) plane.<\/p>","DOI":"10.21203\/rs.3.rs-4541780\/v1","type":"posted-content","created":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T02:32:24Z","timestamp":1719369144000},"source":"Crossref","is-referenced-by-count":0,"title":["The Probability Density of the Spectral Correlation Function Estimates"],"prefix":"10.21203","author":[{"given":"Miguel","family":"Tavares","sequence":"first","affiliation":[{"name":"Instituto Polit\u00e9cnico de Beja"}]},{"given":"Jos\u00e9","family":"Gerald","sequence":"additional","affiliation":[{"name":"University of Lisbon"}]},{"given":"Jo\u00e3o","family":"Goes","sequence":"additional","affiliation":[{"name":"Universidade Nova de Lisboa"}]}],"member":"297","reference":[{"year":"2020","author":"Cisco","key":"ref1","unstructured":"Cisco: Cisco Annual Internet Report (2018\u20132023) White Paper, (2020)"},{"key":"ref2","volume-title":"Internet of Things (IoT) 2018 \u2013 Market Statistics","author":"Calsoft Inc","year":"2018","unstructured":"Calsoft Inc: Internet of Things (IoT) 2018 \u2013 Market Statistics. 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