To measure dynamic quantities is in principle the same problem which is faced in communication engineering comprehension, propagation and processing of information. The bandwidth of the propagation channel for measuring purposes is given by the properties of the transducer. Neighboring channels are typically not used permitting a correction of the dynamic behavior of the transducer in the processing part of the system. In this paper, the author investigates the limits imposed by the information theory. The ideal condition of transmitting an information exactly can be approached in the limit by increasing the bandwidth. The question is now where is the theoretical optimum for improving the dynamic response when noise is taken into account. The first result is that the channel capacity is independent of the processing system, thus it cannot be affected by a correction in the processing system. In the limit the capacity can be made infinite. In practice this cannot be realized because of the vast expense. The flow of information is equal to the capacity of the channel only in the limit otherwise it is smaller.