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The picosecond electrical pulse‐propagation characteristics of microchannel‐plate detectors, used in diagnosing laser‐driven inertial‐confinement‐fusion experiments, were measured with an electro‐optic sampling system. We determined propagation velocity and signal distortion of the microchannel‐plate microstrip, as well as its characteristic impedance and the substrate relative dielectric permittivity. These parameters are critical for proper calibration of the detectors and serve as a guide for their improved designs.