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The influence of phase noise on the signal or jitter in the sampling instants is derived from a theoretical point of view. A detailed presentation is given justifying the analytical expression proposed. Approximations are made in order to obtain a simple mathematical expression that relates the factors that play a role, namely the phase noise or jitter standard deviation, the number of data points and the sinusoidal signal amplitude. Numerical simulation results, obtained with a Monte Carlo type procedure, are presented which validate the approximations made and show the accuracy of the analytical expression for a range of parameter values. The phase noise or jitter that affected the data points was considered to be normally distributed with a null mean.<\/jats:p>","DOI":"10.1515\/teme-2025-0074","type":"journal-article","created":{"date-parts":[[2025,7,8]],"date-time":"2025-07-08T04:58:34Z","timestamp":1751950714000},"page":"509-517","source":"Crossref","is-referenced-by-count":2,"title":["Expected value of the root mean square of sinefitting residuals in the presence of phase noise or sampling jitter"],"prefix":"10.1515","volume":"92","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0854-489X","authenticated-orcid":false,"given":"Francisco Andr\u00e9 Corr\u00eaa","family":"Alegria","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Universidade de Lisboa and Instituto de Telecomunica\u00e7\u00f5es , Lisbon , Portugal"}]}],"member":"374","published-online":{"date-parts":[[2025,7,8]]},"reference":[{"key":"2025121816225817204_j_teme-2025-0074_ref_001","unstructured":"IEEE 1057 Workgroup, IEEE Standard for Digitizing Waveform Recorders, New York, NY, IEEE Std. 1057\u20132017, 2018."},{"key":"2025121816225817204_j_teme-2025-0074_ref_002","doi-asserted-by":"crossref","unstructured":"P. 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