ordertrack
Tracking and extracting magnitude orders from the vibration signal.
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Syntax
Function call
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mag,rpm,time = ordertrack(map,order,rpm,time,orderlist)— calculates a matrix of magnitude estimates, starting from the rotation order and frequency mapmap, vectors of ordersorderand vectors of time pointstime. Use the functionrpmordermapto calculatemap,orderandtime. The returned amplitudes and scaling are the same as in the argumentmap.
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mag,rpm,time = ordertrack(___,Name,Value)— sets additional parameters using arguments like «name-value». Some of these parameters are applicable only to the Wold—Kalman tracking algorithm.
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ordertrack(___,out=:plot)— plots the dependence of the values of the rotation orders and frequencies on time.
Arguments
Input arguments
# x — input signal
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vector
Details
The input signal is specified as a row vector or column vector.
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#
fs —
sampling
rate
scalar
Details
The sampling rate, set as a positive scalar, expressed in Hz.
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# rpm — rotation speed
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vector | the matrix
Details
The rotation speed, set as a vector or matrix of positive values expressed in rpm. If the argument is rpm is a vector, its length must match the length of the argument. x. If the argument is rpm it is a matrix and an argument is specified rpmrefidx, then it must have at least two columns, and each column must contain as many elements as the argument x.
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If there is a pulse signal of the tachometer, use the function
tachorpmfor direct extractionrpm. -
If there is no pulse signal of the tachometer, use the function
rpmtrackto extractrpmfrom the vibration signal.
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# map — a map of the rotation order and frequency
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the matrix
Details
A map of the rotation order and frequency, defined as a matrix. Use the function rpmordermap to calculate rotation order and frequency maps.
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# time — points in time
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vector
Details
Time points specified as a vector.
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Input arguments «name-value»
Specify optional argument pairs as Name,Value, where Name — the name of the argument, and Value — the appropriate value. Type arguments «name-value» they should be placed after the other arguments, but the order of the pairs does not matter. You can specify multiple pairs «name-value».
Use commas to separate the name and value, and Name put it in quotation marks.
# Amplitude — type of amplitude
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"rms" (by default) | "peak" | "power"
Details
The type of amplitude specified by one of the following values:
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"rms"— returns the RMS amplitude for each estimated order; -
"peak"— returns the peak amplitude for each estimated order; -
"power"— returns the power level for each estimated order.
# Scale — scale of values
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"linear" (by default) | "dB"
Details
A scale of values set by one of the following values:
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"linear"— returns values of quantities scaled in linear units; -
"dB"— returns values of values scaled logarithmically and expressed in dB.
# Bandwidth — approximate bandwidth at half power
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fs/100 (by default) | scalar | vector
Details
Approximate half-power bandwidth, specified as a real scalar or vector with the same number of elements as the argument orderlist. Lower values Bandwidth provide smooth narrowband output signal. However, such an output signal may not accurately reflect rapid changes in the amplitude of the order. This argument applies only to the Wold—Kalman algorithm.
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# Decouple — mode separation parameter
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false (by default) | true
Details
The mode separation parameter, set as a boolean value. If this argument is set to true, then the function ordertrack simultaneously extracts the values of orders, which allows you to separate closely spaced or overlapping orders. This argument applies only to the Wold—Kalman algorithm.
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# SegmentLength — length of overlapping segments
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scalar
Details
The length of the overlapping segments, set as an integer. If the segment length is set, then the function ordertrack splits the input signal into segments. It then calculates the orders of magnitude for each segment and combines the results to produce an output signal. If the segments are too short, the function may not handle localized events correctly, such as order overlap. This argument applies only to the Wold—Kalman algorithm.
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# out — type of output data
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:data (by default) | :plot
Details
Type of output data:
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:data— the function returns data; -
:plot— the function returns a graph.
For this argument, the name and value are separated by an equal sign (=).
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Literature
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Brandt, Anders. Noise and Vibration Analysis: Signal Analysis and Experimental Procedures. Chichester, UK: John Wiley & Sons, 2011.
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Feldbauer, Christian, and Robert Höldrich. «Realization of a Vold-Kalman Tracking Filter — A Least Squares Problem.» Proceedings of the COST G-6 Conference on Digital Audio Effects (DAFX-00). Verona, Italy, December 7–9, 2000.
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Vold, Håvard, and Jan Leuridan. «High Resolution Order Tracking at Extreme Slew Rates Using Kalman Tracking Filters.» Shock and Vibration. Vol. 2, 1995, pp. 507–515.
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Tůma, Jiří. «Algorithms for the Vold-Kalman Multiorder Tracking Filter.» Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013, pp. 388–94. https://doi.org/10.1109/CarpathianCC.2013.6560575.