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Minimax design of adjustable-bandwidth linear-phase FIR filters

机译:可调带宽线性相位FIR滤波器的Minimax设计

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This paper considers the design of digital linear-phase finite-length impulse response (FIR) filters that have adjustable bandwidth(s) whereas the phase response is fixed. For this purpose, a structure is employed in which the overall transfer function is a weighted linear combination of fixed subfilters and where the weights are directly determined by the bandwidth(s). Minimax design techniques are introduced which generate globally optimal overall filters in the minimax (Chebyshev) sense over a whole set of filter specifications. The paper also introduces a new structure for bandstop and bandpass filters with individually adjustable upper and lower band edges, and with a substantially lower arithmetic complexity compared to structures that make use of two separate adjustable-bandwidth low-pass and high-pass filters in cascade or in parallel. Design examples are included in the paper.
机译:本文考虑了数字线性相位有限长度脉冲响应(FIR)滤波器的设计,该滤波器具有可调带宽,而相位响应是固定的。为此目的,采用一种结构,其中总传递函数是固定子滤波器的加权线性组合,并且权重直接由一个或多个带宽确定。引入了Minimax设计技术,可在整个滤波器规格集内以minimax(Chebyshev)的意义生成全局最佳的整体滤波器。本文还介绍了一种带阻滤波器和带通滤波器的新结构,具有分别可调的上下频带边缘,并且与在级联中使用两个单独的可调带宽低通和高通滤波器的结构相比,运算复杂度大大降低或并行。设计示例包含在本文中。

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