The main performance advantage that analog signal-processing devices have over their digital competitors is the ability to operate with wide instantaneous bandwidths and moderately high dynamic ranges at microwave frequencies. Here, applications of magnetostatic wave (MSW) devices that capitalize on these advantages are reviewed. The first area is broadband microwave receivers, which includes frequency channelizers, dispersive delay lines for compressive receivers, delay lines for pulse storage, and frequency-selective limiters. The second area is beamsteering of phased-array antennas by variable time delays. In both cases, the MSW device approaches and applications are discussed with emphasis on the device characteristics and their systems utilization. Where possible, comparisons with other analog signal-processing approaches are given.>