Design and Realization of Quadrature Mirror Hilbert Transformers Using Even-Order Elliptic IIR Filters
Signals in a two-channel quadrature mirror filter bank are decomposed into low and high frequency components. Similarly, analytic signals can be extracted from the original signals with only positive or negative frequency contents. Multirate systems based on this idea are called the quadrature mirror Hilbert transformers. Previous researches on this subject ignore the case of even-order IIR filters. In this work, we investigate the quadrature mirror Hilbert transformers with even-order elliptic IIR filters. It is found that the distortion transfer function is a Hilbert transformer and the amplitude distortion can not be eliminated completely. Nevertheless, a design example shows that the distortion transfer function is very close to an allpass filter. System structures including polyphase realization are provided.
Quadrature mirror filter bank complex half-band filter Hilbert transformer elliptic IIR filter.
Chimin Tsai
Department of Electrical Engineering Chung Hua University Hsin Chu, Taiwan
国际会议
2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)
上海
英文
2299-2302
2011-10-15（万方平台首次上网日期，不代表论文的发表时间）