Higher Order Low Pass FIR Digital Differentiators

نویسندگان

  • Simranjot Singh
  • Kulbir Singh
  • S. C. Dutta
  • Roy
  • B. Kumar
  • M. A. Al-Alaoui
  • D. G. Manolakis
  • H. Zhao
  • G. Qiu
  • L. Yao
  • J. Yu
  • N. M. Arzeno
  • Z. D. Deng
  • C. S. Poon
  • G. M. Friesen
  • T. C. Jannett
  • M. A. Jadallah
  • S. L. Yates
  • S. R. Quint
  • H. T. Nagle
چکیده

In this paper design of non-recursive higher order low pass digital differentiators satisfying given specifications is investigated. The concept of low pass differentiation is further generalized to higher order differentiators. A formula is derived using Fourier integral to compute impulse response coefficients of the differentiator. The equation is then used to design first order differentiators and results are compared with Salesnick's technique. The proposed FIR low pass differentiator has improvement in transition width and flexibility to choose cutoff frequency. The same technique has been demonstrated for second order design according to provided specifications. This method is used in the design of second order low pass differentiator for QRS detection in ECG. It is shown that the proposed implementation has low hardware and software complexity as compared to existing second derivative based techniques of QRS detection, giving advantage in optimization of current real time ECG systems.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

FIR Linear Phase Fractional Order Digital Differentiator Design using Convex Optimization

In this paper, design of linear phase FIR digital differentiators is investigated using convex optimization. The problem of differentiator design is first described in terms of convex optimization with different optimization variables’ options, taken one at a time. The method is then used to design first order low pass differentiators and results are compared with Salesnick’s technique and Park...

متن کامل

Analysis of Low Pass IIR Digital Filter Design

Digital Differentiator is a vital signal processing tool. It is found in many applications, from low frequency biomedical equipment to high frequency radars. New developing fields such as touch screen tablets and online signature verification also has digital differentiators as basic building block. A approach is proposed to design approximately linear phase infinite-impulse-response (IIR) digi...

متن کامل

A New Optimized Low-pass Iir Digital Differentiator

This paper describes a method for optimizing low-pass infinite impulse response (IIR) digital differentiators. The wide band differentiator is cascaded with low-pass IIR filter resulting in linear phase low-pass IIR digital differentiator. Further the frequency response of IIR differentiator is improved by altering the gain and denominator coefficients of that differentiator. The genetic algori...

متن کامل

Maximally Flat Low-Pass Digital Differentiators

This paper describes the design of type III and type IV linear-phase finite-impulse response (FIR) low-pass digital differentiators according to the maximally flat criterion. We introduce a two-term recursive formula that enables the simple stable computation of the impulse response coefficients. The same recursive formula is valid for both Type III and Type IV solutions.

متن کامل

Design of efficient second and higher degree FIR digital differentiators for midband frequencies

In the paper, efficient designs for second and higher degree digital differentiators for midband frequency ranges are proposed. Exact mathematical formulas for computation of the required weighting coefficients are also derived. The designs are capable of achieving extremely low relative errors (± 1%+0.001%) in the frequency range 0.25JI =S a> < 0.75TI with attractively low-order niters.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014