what kind of analysis should i use for these signals?

[Irshu]

i'm developing a lie detection system,i have one respiratory sensor and a hand grip heart rate monitor to acuire the physiological signals from the sensors.i have attached a screenshot of the application.the top signal represents the heart beat and bottom one is respiratory signals.my question is that what type of analysis should i be using for these signal types?would you please care to help me on this?

thank you.