In the field of digital signal processing, the function of a filter is to remove unwanted parts of the signal such as random noise that is also undesirable. To remove noise from the speech signal transmission or to extract useful parts of the signal such as the components lying within a certain frequency range. Filters are broadly used in signal processing and communication systems in applicati...

For many years the Butterworth lowpass filter has been used to smooth many kinds of biomechanical data, despite the fact that it is underdamped and therefore overshoots and/or undershoots data during rapid transitions. A comparison of the conventional Butterworth filter with a critically damped filter shows that the critically damped filter not only removes the undershooting and overshooting, b...

Application Specific Integrated Circuits (ASICs) and Digital Signal Processors are generally used for implementing digital filters. Now days in the advances in technology leads to use of field programmable Gate Array (FPGA) for the implementation of Digital Filters. The Present paper deals with Design and implementation of digital IIR Butterworth filter using Xilinx System Generator. The Quanti...

This paper proposes the design of Fractional Order (FO) Butterworth filter in complex w-plane (w=sPqP; q being any real number) considering the presence of under-damped, hyper-damped, ultra-damped poles. This is the first attempt to design such fractional Butterworth filters in complex w-plane instead of complex s-plane, as conventionally done for integer order filters. Firstly, the concept of ...

Microdiffraction. A.L. Butterworth, G.K. Benedix, N. Tamura, O.N. Menzies, and P.A. Bland, Space Sciences Laboratory, 7 Gauss Way, University of California, Berkeley, California 94720-7450, Dept. of Mineralogy, The Natural History Museum, Cromwell Road, London, SW7 5BD UK, IARC, Dept. of Earth Science and Engineering, Imperial College London, Prince Consort Road, London SW7 2AZ, UK. Advanced Li...

We present a systematic design of coupled-resonator optical waveguides (CROWs) based on high-Q tapered grating-defect resonators. The formalism is based on coupled-mode theory where forward and backward waveguide modes are coupled by the grating. Although applied to strong gratings (periodic air holes in single-mode silicon-on-insulator waveguides), coupled-mode theory is shown to be valid, sin...

[1] We determined the tc and tp parameters from the K-NET strong motion records of 16 earthquakes in Japan with moment magnitude (Mw) ranging from 6.0 to 8.3. A 0.075 Hz high-pass Butterworth filter was applied for determination of tc based on our previous studies. It was found that different pole selections of the Butterworth filter lead to different uncertainty in magnitude determination. Our...

In the paper we present a new family of biorthogonalwavelet transforms and a related library of biorthogonal symmetric wavelets. For the construction we use the interpolatory discrete splines which enable us to design perfect reconstruction filter banks related to the Butterworth filters. The construction is performed in a “lifting” manner. The proposed scheme is based on interpolation and, as ...