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In this paper, the authors propose a novel Peak-to-Average Power Ratio (PAPR) reduction method based on optimum basis function design for wavelet packet modulation schemes. They first establish a cost function to be optimized by analytically deriving an upper bound for the PAPR. The cost function is then used to design the optimum basis function. Simulation results show that the proposed optimum basis function achieves significant PAPR reductions when compared to the conventional Daubechies basis function. In addition, it is also shown that a superior PAPR-bandwidth tradeoff can be achieved through the proposed basis function over the conventional one.
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