  Based on a one-shot input-output set of data from an LTI system, we present a
verification method of dissipativity property based on a general quadratic
supply-rate function. We show the applicability of our approach for identifying
suitable general quadratic supply-rate function in two numerical examples, one
regarding the estimation of $\mathcal{L}_2$-gains and one where we verify the
dissipativity of a mass-spring-damper system.
