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Mobile WiMAX is emerging as one of the most promising systems for 4th generation mobile wireless networks where mobile TV services are foreseen to be proliferated. These applications are bandwidth hogs which cause a challenging capacity problem. To address this challenge, a novel mobile TV services over WiMAX network, called wireless switched digital video (WSDV), is proposed in this paper. Unlike with the conventional broadcast or unicast schemes, we use a hybrid approach that exploits adaptive modulation and coding (AMC) gain in unicast scheme and at the same time accommodates arbitrary many users watching the same channel like broadcast method, which enables to increase wireless capacity for mobile TV service. In addition, we present a WiMAX design tool, based on an analytical model, maximizing WiMAX capacity and study the influence of the most important traffic and system parameters. The analytical model can capture the details on WiMAX resource allocation and consider the popularity of the mobile TV contents from user, which provides an accurate estimate of the amount of bandwidth for WiMAX TV service and also enables a designer to optimally select the number of channels via WSDV schemes while meeting a desired level of blocking probability. Finally, we also demonstrate that the optimized scheme outperforms the conventional schemes in terms of blocking probability, and address the bandwidth sharing effect with other data services.