In this paper we study Bode-type integrals for multivariate networked feedback systems in which the uplink and downlink noisy channels are present simultaneously. The integrals, which are obtained via an information-theoretic approach, characterize explicitly the fundamental performance trade-offs of disturbance attenuation in networked control systems. Two information-theoretic measures, termed negentropy rate and channel blurredness respectively, are proposed to quantify the effect of the multivariate disturbance and communication channel constraints on the Bode-type integrals. In particular, when it comes to parallel additive white Gaussian noise channels, channel blurredness leads to a totally new ‘fire-quenching’ power allocation policy in contrast to the conventional ‘water-filling’ solution.