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  • Linear Envelope method summary.

    Thanks to all answers.

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    Original message:

    Hello all coleagues.

    I saw in many papers a method for sEMG signal processing called linear
    envelope, but it's doesn't appear explicitly in the papers. If anyone knows
    how this method works please let me know.

    Thanks in advance.
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    Answers:
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    Hi Jaime
    You first full wave rectify the raw EMG signal, then you low pass
    filter the signal and the frequency cut off used will depend on what
    you are going to do with the data. For example, gait work looking
    at patterns of muscle activity will use a 6 Hz cut off, whereas EMG
    to force processing may use a one Hz and studies that wish to
    retain the timing information will use a higher cut off i.e. up to
    100Hz. The linear envelop and moving average are often the same
    processing. This processing can be done analogue or digital.
    Winter is probably one of the best references. There are several
    papers in the early 80s, plus his book and more recently a chapter
    in Kumar and Mital Electromyography in Ergonomics, Taylor and
    Frances.
    Cheryl K.
    ----------------------------------------------------------------------------
    try
    Winter, D.
    Biomechanics and Motor Control of Human Movement
    Wiley-Interscience Publication, John Wiley and Sons, Inc
    New York, Chisceter, Brisbane, Toronto, Singapore
    1990

    p 204 in 2nd ed. linear envelope is explained in detail

    good luck,
    lise


    Lise Worthen MS, BFA
    Biomechanist and Lab Coordinator
    Soar Research @ LIU
    122 Ashland Place #1A
    Brooklyn, NY 11201
    718-246-6378
    718-246-6383 fax
    lworthen@liu.edu
    ------------------------------------------------------------------
    See chapter 8 on EMG in Winter's 1990 text, but basically it is the result
    of passing the rectified EMG signal through a low pass filter with a low
    cut-off frequency. Winter has suggested a compromise of 3 Hz. This provides
    a moving average of the signal that can be better related to kinetic data
    because it follows a similar trend to the tension at the tendon in both
    patterning and timing. Be careful of the use of the term in the literature.

    regards,
    Brad McFadyen
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    hi Jamie,

    There are many descriptions of Linear envelope in the EMG literature , but
    briefly you take your signal and full wave rectify it then low pass filter
    it. This results in an "envelope" representation of the data in the time
    domain- the concept of an "envelope" is that the representation encapsulates
    or envelopes the signal - the degree to which this does this accurately of
    course, depends on the original sample rate and the low pass filter type and
    cut-off . similar in net result but different in process is to take a RMS
    (root mean Square) approach to the data.

    hope this helps,

    also try this website for some basic info:
    http://www.delsys.com/emg_articles/emg_articles.html
    Kevin
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    Jaime:

    Creating a linear envelope involves two general steps:

    1. Full-wave rectify the data. This is done simply by taking the absolute
    value of the raw EMG signal
    2. Low-pass filter the full-wave rectified data. If temporal alignment with
    other data are important (heel strike, toe off, kinematic data, etc.), be
    sure to use a zero-lag filter (like a second order Butterworth filter run in
    the forward and backward directions). The cutoff frequencies used for
    low-pass filtering are usually described in the literature.

    Depending on how you will use these data, I would also recommend correcting
    for dc-bias before step 1. This can be done by either a) [better] applying a
    high-pass filter to the raw EMG data; or b) [okay] subtracting the average
    raw EMG value from the instantaneous raw EMG data
    (dc_bias_corrected_raw_EMG[i] = raw[i] - mean_raw_EMG).

    Hope that was helpful.

    Peter
    ___________________________________________
    Peter F. Vint, Ph.D.
    Research Integrations, Inc.
    9180 S. Kyrene Rd., Suite 117
    Tempe, AZ 85284
    Phone: (480) 893-1600 x14
    Fax: (480) 893-0602
    e-mail: peter.vint@researchintegrations.com
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    A "linear envelope" of a band-passed EMG signal (1 Hz - 1 kHz) can be
    created by;

    1. Full wave rectification (FWR) of the signal (assuming the signal has no
    offset)
    2. Low pass (LP) filtering (cutoff between 4-50 Hz)

    Both the FWR and the LP filter can be performed digitally. The FWR being an
    absolute valuye of the signal. The low pass filter can be performed using a
    recursive, Butterworth digital filter. The recursive feature passes the data
    thru forward and then reversed to "remove" the phase lag produced by the
    "forward" pass of the filter.



    Dean Kriellaars, Ph.D.
    Associate Professor
    Human Performance Lab
    School of Medical Rehabilitation, University of Manitoba
    Voice: (204) 787-2289 Fax: (204) 787-1227
    ----------------------------------------------------------------------------
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    Linear envelope is rectification followed by low pass filter (3-10 Hz
    cutoff) of the EMG signal.

    Warren Darling
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    Jaime:

    The text "Biomechanics of Human Movement" by David Winter is a classic
    source for the technique of creating a linear envelope. Basically, with EMG
    the steps are 1) rectify the raw EMG signal; 2) apply a low pass filter at
    an appropriate cut-off to the rectified data.
    Regards, Steve


    Steven T. McCaw, Ph.D
    Professor, Biomechanics
    Dept of HPER
    5120 Illinois State University
    Normal, IL 61790-5120

    Phone: 309-438-3804
    Fax: 309-438-5559

    ----------------------------------------------------------------------------
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    Its simple: take the absolute value of the signal (called full-wave
    rectification) then apply a low-pass filter with a cutoff between 4 an 6
    hertz. Viola, you have the linear envelope EMG.

    D. Gordon E. Robertson, Ph.D.
    Assistant Director (Graduate Studies) and
    Professor of Biomechanics
    School of Human Kinetics, University of Ottawa
    Ottawa, ON, Canada, K1N 6N5
    mailto:dger@uottawa.ca
    +1-613-562-5800 Off: 4227 Lab: 4246 Fax: +1-613-562-5149
    Webpage: http://www.health.uottawa.ca/biomech/lab
    ----------------------------------------------------------------------------
    Hi Jamie

    Basically the procedure to generate a linear envelope is as follows:

    1). Filter the signal using a bandpass filter with a lower cut-off
    frequency of 20 Hz and an upper cut-off frequency of 500 Hz
    (assuming the EMG was collected at 1000 Hz or greater).

    2). Full wave rectify the filtered signal (negative values become
    positive).

    3). Low pass filter the rectified signal with a cut-off frequency of 3
    Hz.

    The result is the linear envelope of the EMG signal.

    The cut-off frequencies I have used are a guide only. You may
    wish to change these to suit your own purposes.

    Good luck

    Pete
    Peter Mills BExSc (Hons)
    PhD Candidate
    School of Physiotherapy and Exercise Science
    Griffith University
    PMB50 Gold Coast Mail Centre
    Queensland 9726
    Ph: +61 7 5594 8390
    Fax: +61 7 5594 8674
    Mobile: 0410 503 415
    Email: p.mills@mailbox.gu.edu.au

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    Linear envelope processing consists of full-wave rectification (absolute
    value of each sample so that the entire signal is positive) followed by
    low-pass filtering (choice of cut-off frequency, yours).

    Samuel Lee, M.Sc.
    Research Engineer
    Hospital for Special Surgery
    Department of Biomechanics & Biomaterials
    New York, N.Y. 10021 U.S.A.
    (212) 774-2382
    LeeS@HSS.edu

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    Jamie,

    Linear envelope detection involves the following steps.

    1. rectify the EMG by taking the abolute value.
    2. detrend the EMG by removing any slope in the baseline or DC offset.
    3. low-pass filter the EMG with a cutoff frequency no greater than 10 Hz

    The result is supposed to be a EMG/time curve that follows the Force/time
    curve.

    -d.g.
    David A. Gabriel, Ph.D.
    Assistant Professor
    Biomechanics
    Physical Education Department
    Brock University
    St. Catharines, Ontario, CANADA
    L2S 3A1

    Phone: 905-688-5550 ext.4362
    Fax: 905-688-5550 ext. 4104

    e-mail: dgabriel@arnie.pec.brocku.ca

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    Most of these articles assume you know what it is, I realize.
    I went through a whole slew of them, and a linear envelope seemed to be
    a fancy way of saying, draw a line that outlines the general activity.
    This can be done a number of ways
    1) a running average: average the data points across 60 or so ms, if not
    more. Obviously, the higher the averaging window, the smoother the
    data. It should be done on rectified data; ie, positive half of the
    sine wave, otherwise, the negetive troughs will create an average at
    zero.
    2) write a routine that reads all the peaks, and plots it.
    3) a filtering program, like 4th order butterworth, should have a
    similar smoothing effect as the first method. You would probably need to
    have a cutoff frequency as low as 10 Hz, depending on the data you want
    to see, the sampled frequency, and the pre-filtering cutoff frequencies
    you used.
    I noticed that this simply shrinks the amplitude of your data more than
    smoothing, until a certain point.
    Good luck -
    Janina Wilen

    --
    :::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::
    Janina Wilen
    BioMechanical Engineer, B.S.
    Kessler Medical Research and Rehabilitation Corp
    Human Performance and Movement Analysis Laboratory
    West Orange, NJ 07052
    973-243-6903
    fax: 973-243-6984
    jwilen@kmrrec.org
    http://www.kmrrec.org

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    Regards,

    http://www.ing.puc.cl/icmtesis/magister/jzamora/index_esp.html
    Jaime B. Zamora S.
    Laboratorio DAMAC.
    Departamento de Ingeniería Mecánica y Metalúrgica.
    Pontificia Universidad Católica de Chile.


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