Fourier series expansion is used to explore the relationship between the coefficients of halfband lowpass and general bandpass FIR digital filters. This relationship is used to derive new designs of band pass/stop and low/high pass MAXFLAT FIR digital filters, from an available design of halfband lowpass MAXFLAT FIR digital filters. The presented designs have explicit formulas for the filter coefficients, and can give infinite number of distinct filters of any finite length. The formulas are modified to obtain a new class of filters, which allow a reduction in the transition bandwidth at the expense of smoothness of the magnitude response, and have a performance comparable to that of the minimax filters.
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机译:傅里叶系列扩展用于探索半频带低通和通用带通冷却数字滤波器之间的关系。这种关系用于从半带Loppass MaxFlat Fir Digity滤波器的可用设计推导出频带通过/停止和低/高通/高级MAXFLAT FIR数字滤波器的新设计。所提出的设计具有用于滤波器系数的显式公式,并且可以提供任何有限长度的无限数量的不同滤波器。修改公式以获得新的滤波器,其允许在幅度响应的平滑度下减少转换带宽,并且具有与最小滤波器的性能相当的性能。
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