Wave re-construction - What are my mathematical options While my question applies to both DSP and Math, I feel it has more depth in mathematics. Here is a sample photo of some samples I have captured over time. 
About the data:
I have a sensor that monitors pressure. When the pressure increases, the y axis value increases. The opposite is true when the pressure decreases. At times however, if the sensor is bent, it can give odd readings ( samples 210 - 300 below ). Hence, the expansion and contraction of pressure is still recorded, but hidden in the noise generated by bending the sensor.

I would like to, mathematically, re-construct the middle of the wave ( between samples 210 to 300ish ) , to be more like the clean wave portions ( 50 - 199, 350-450, etc. ), but remain mathematically correct.
Questions::
My mathematical background in this is very poor. What are some topics I can visit to try and solve my problem? Surely, my problem here is not by any means new. I am just lacking the correct phrasing to really find the topics myself.

The way I would approach that would be through a Fourier series, you are going to have to look into a bit of calculus etc. to do that though.
Wikipedia - Fourier Series
