Proof for frequency response analysis using chirp signals

Hundreds of applications utilize frequency response characterization of a system. Identification of frequency response requires long experimentation time, use of transformation techniques and other difficulties associated with isolating the system behavior precisely at individual frequencies. In this work, we report a hitherto unknown result that can be leveraged to mitigate these difficulties resulting in a tremendous reduction in the experimentation time. This result has the possibility of revolutionizing how frequency response studies are performed.