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In this letter, we propose a tuned elliptical Lambertian beam (ELB) model to achieve a higher transmission bandwidth than the conventional circular Lambertian beam (CLB) model for indoor optical wireless communication systems. ELB is generated by employing aM°×N° light shaping diffuser, and its power distribution is investigated. We first derive new expressions of the power distribution and the multipath impulse response for ELB. From the precise frequency responses of CLB and ELB sources, we show that the tuned ELB model offers a higher transmission bandwidth than CLB.