Topic
Butterworth filter
About: Butterworth filter is a research topic. Over the lifetime, 6187 publications have been published within this topic receiving 69070 citations.
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Book•
18 Feb 1986
TL;DR: Fundamentals of Network Synthesis Filter Approximation and Frequency Transformations Passive Filter Synthesis Design of Resistively Terminated Networks and Theory of Compatible Impedances.
Abstract: Fundamentals of Network Synthesis Filter Approximation and Frequency Transformations Passive Filter Synthesis Design of Resistively Terminated Networks Active Filter Synthesis: Fundamentals Sensitivity The Active Biquad Realization of Active Two-Port Networks Design of Broadband Matching Networks Theory of Passive Cascade Synthesis General Theory of Compatible Impedances. Appendixes.
100 citations
TL;DR: The authors present two approaches to the design of two-channel perfect-reconstruction linear-phase finite-impulse-response (FIR) filter banks, and covers the design for all parts of linear phase perfect reconstruction constraint equations.
Abstract: The authors present two approaches to the design of two-channel perfect-reconstruction linear-phase finite-impulse-response (FIR) filter banks. Both approaches analyze and design the impulse responses of the analysis filter bank directly. The synthesis filter bank is then obtained by simply changing the signs of odd-order coefficients in the analysis filter bank. The approach deals with unequal-length filter banks. By designing the lower length filters first, one can take advantage of the fact that the number of variables for designing the higher length filters is more than the number of perfect-reconstruction constraint equations. The second approach generalizes the first, and covers the design for all parts of linear phase perfect reconstruction constraint equations. >
100 citations
26 Mar 2007
TL;DR: In this article, the authors demonstrate a fully tunable narrowband fourth-order pole-zero optical filter that is fabricated in a silicon complementary-metal-oxide-semiconductor foundry.
Abstract: We demonstrate a compact fully tunable narrowband fourth-order pole-zero optical filter that is fabricated in a silicon complementary-metal-oxide-semiconductor foundry. The filter is implemented using silicon on oxide channel waveguides and consists of a Mach-Zehnder interferometer with two ring resonator all-pass filters (APFs) on each arm. The filter architecture is based on the sum and difference of the APFs responses. The ring resonators introduce a nonlinear phase response in each arm that allows carving narrow frequency bands out of a broad spectrum. In this paper, we demonstrate a 3-dB filter bandwidth of 1.0 GHz with a stopband rejection of better than 25 dB. The filter free spectral range is 16.5 GHz. Thermooptic phase shifters are used to tune the filter. As silicon has a large thermooptic coefficient compared to silica, the demonstrated filter requires a low tuning power of less than 300 mW. In addition, this filter is compact with dimensions 25 times smaller than the same filter would be if it were made using standard silica on silicon waveguides with a 0.8% step index contrast
99 citations
TL;DR: In this article, a finite impulse response (FIR) filter that can synthesize any fractional sample delay by a nonlinear interpolation technique is presented, and analytically closed-form solutions for the tap weights of such an FIR filter and their frequency responses are also presented.
Abstract: A finite impulse response (FIR) filter that can synthesize any fractional sample delay by a nonlinear interpolation technique is presented. Analytically closed-form solutions for the tap weights of such an FIR filter and their frequency responses are also presented. >
98 citations
TL;DR: A low-power high linearity CMOS Gm-C channel select filter for WLAN/WiMAX receivers in 90-nm CMOS technology is presented and a biquad cell with simple architecture is used to reduce power consumption and improve the linearity of the filter.
Abstract: A low-power high linearity CMOS Gm-C channel select filter for WLAN/WiMAX receivers in 90-nm CMOS technology is presented. To reduce power consumption a biquad cell with simple architecture is used. A simple but efficient technique is also proposed to improve the linearity of the filter without increasing its power consumption. Coarse and fine tuning techniques are used to tune the cutoff frequency of the sixth-order Butterworth low-pass filter from 8.1 MHz to 13.5 MHz suitable for WLAN and WiMAX applications. The measurement results show an in-band IIP3 of + 22 dBm, an HD3 better than - 40 dB at 470 mVP input signal amplitude, and an input referred noise of 75 nV/√Hz at a power consumption of 4.35 mW from a 1-V supply. The differential filter occupies a chip area of 0.239 mm2 excluding pads.
98 citations