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New transformation-based design of variable recursive digital filters with guaranteed stability

机译:新的基于变换的可变递归数字滤波器设计,具有保证的稳定性

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摘要

As compared with non-recursive (finite-impulse-response: FIR) filters, recursive (infinite-impulse-response: IIR) digital filters require lower orders for achieving the same magnitude response, but the stability must be guaranteed during signal processing process, Especially in variable IIR filtering, variable IIR filter changes its coefficients when a new frequency-domain characteristic is updated, which may lead to unstability of the applied variable filter. This paper proposes a hyperbolic tangent method for transforming the denominator coefficients of a variable transfer function into a set of new coefficients, and then the new coefficients are determined as the polynomials of the spectral parameters that are used for tuning the magnitude response. This transformation can always guarantee the stability of the resulting variable IIR filter.
机译:与非递归(有限冲激响应:FIR)滤波器相比,递归(无限冲激响应:IIR)数字滤波器需要较低阶来实现相同的幅度响应,但在信号处理过程中必须保证稳定性,尤其是在可变IIR滤波中,当更新新的频域特性时,可变IIR滤波器会更改其系数,这可能导致所应用的可变滤波器不稳定。本文提出了一种双曲正切方法,将变量传递函数的分母系数转换为一组新系数,然后将这些新系数确定为用于调整幅度响应的频谱参数的多项式。这种变换总是可以保证所得可变IIR滤波器的稳定性。

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