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The problem of designing radar signals and receivers that are optimum for detecting a point target masked by thermal noise and clutter returns is considered. In a previous paper, the authors described an iterative algorithm for designing such signals subject to an energy constraint. This paper describes an algorithm for the case where the energy constraint is replaced by a dynamic-range constraint, that is, the ratio of maximum to minimum signal amplitude is limited. The signal to which the algorithm converges satisfies the Kuhn-Tucker conditions, which are necessary for optimality. Examples of the application of both algorithms to radar signal design problems are given.