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1) The slider design section 7.4.3 of https://www.cypress.com/file/46081/download provides details regarding the centroid algorithm provided by the CapSense component.
You could refer to that.
2) Please refer to Graph Setup Pane -> Communication mode of CapSense component datasheet for information on synchronized and asynchronized mode.
(CapSense V6.0 - pg 129 of https://www.cypress.com/file/442046/download)