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IEEE 802.11e standard develops a reference design for a sample scheduler and admission control unit to support the contention-free access. However, the reference design can not efficiently utilize the bandwidth. This paper proposes an equalspacing- based (equal-SP) design to address the problem. In the equal-SP design, which generalizes the reference design, each stream is scheduled with equal-spacing and different streams are scheduled with different spacings. The equal-SP design not only keeps all advantages of the reference design (i.e., it is simple, easy to implement, and can guarantee the delay requirement), but it is compatible with the standard and can also utilize the bandwidth efficiently.