Design of doubly-complementary IIR digital filters, using a single complex allpass filter
Design of doubly-complementary IIR digital filters, using a single complex allpass filter
复制标题
DOI：
10.1109/icassp.1986.1169285
复制
发表时间：
1986-04
期刊：
影响因子：
--
通讯作者：
P. Vaidyanathan;P. Regalia;S. Mitra
中科院分区：
文献类型：
--
作者：
P. Vaidyanathan;P. Regalia;S. Mitra
它示出了一个广泛的类的实系数，双互补IIR传递函数对可以通过一个单一的复杂的全通滤波器实现。对于真实的输入序列，复全通滤波器的输出序列的真实的部分对应于传递函数G（z）之一（例如，低通），而输出序列的虚部对应于其“互补”滤波器H（z）（例如，高通）。由于所得到的实现在结构上是无损的，因此G（z）和H（z）具有非常低的通带灵敏度。数值设计的例子来证明的想法。
It is shown that a wide class of real-coefficient, doubly-complementary IIR transfer-function pairs can be implemented by means of a single complex allpass filter. For a real input sequence, the real part of the output sequence of the complex allpass filter corresponds to one of the transfer functions G(z) (for example, low-pass), whereas the imaginary part of the output sequence corresponds to its "complementary" filter H(z) (for example, highpass). Since the resulting implementation is structurally lossless, G(z) and H(z) have very low passband-sensitivity. Numerical design examples are included to demonstrate the ideas.