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Automotive engine misfire detection using Kalman filtering

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misfires” to “100% random single cylinder misfires”. Each data file contains 6000 data points.

VII. Kalman Filter Results It is well known that the random misfire mode is the most difficult to detect and therefore the “benchmark” for misfire. It was for this reason that two random misfire data files were used to identify the parameters. The two files chosen were both data files taken at 3000 rpm with 100% random misfire being generated in any cylinder. The engine loads were set at 37kPa MAP (light load – approximately 40 miles per hour) and 90kPa MAP (heavy load – approximately 95 miles per hour) respectively. A Kalman filter program in Matlab was written based on equations (18), (19) and (20) to perform system identification using these two data files. After several optimization runs, a model based on 26 coefficients was obtained based on the result of these two files. The simulations produced two state matrices which were very close in value. The values of the first file (light engine load) were chosen to test the rest of the data files collected. The 26 model coefficients identified by the Kalman filter are listed in the table below:

Coefficients – bi

i Value i Value i Value

0 -.009495 9 .068348 18 .100843

1 -.023399 10 .233686 19 .059980

2 -.019481 11 .277514 20 .000314

3 .009250 12 .104524 21 -.018546

4 .008741 13 -.115206 22 -.030604

5 .038394 14 -.282035 23 -.031558

6 -.016060 15 -.238417 24 -.005220

7 -.075754 16 -.097420 25 .041596

8 -.037138 17 .056477

Table 1 - Coefficients identified by the Kalman Filter We now have a constant coefficient model established for our engine firings. This model could now be used to test all the misfire data files to verify its effectiveness as an engine misfire detector.

VIII. Misfire Detection Test Results Testing was done one file at a time. Starting from engine idle with no misfire all the way up to engine “redline” with 100% random misfires. For the sake of verbal and data economy, only a few examples of the test results will be presented in this paper. One of the widely adopted figure of merit for any misfire detection system is the “DMSS”, which stands for “Difference of the Means divided by the Sum of the

Standard deviations” of the two population of data points– normal firings and misfires. This serves as a measurement of the signal to noise ratio and its value must be equal or higher than 3.0 for the misfire detection system to be considered viable. Figure 2 below shows the signal separation between the normal firing signals and the misfire signals for an engine idle and no load condition with a 20% number 1 cylinder misfiring. The “o”s are normal firings and the “x”s are the detected misfires. The DMSS of this file is an impressive 7.9965, much higher than the 3.0 that is required. Fig.2 – Engine idle – 700 rpm – no load 20% #1 cylinder misfiring Figure 3 below shows the misfire detection results of a high speed driving operating condition. The engine speed was 6000 rpm, the engine load was 92kPa MAP and there was a 20% misfire in the number 1 cylinder. This test condition is equivalent to an illegal driving speed of 110 miles per hour. Our misfire model detected every single misfire and did not misdiagnose any of the normal firing events. The “DMSS” value for this data file was calculated at 6.9893, again well above the minimum required value of 3.0. Figure 4 shows the misfire detection results of one of the “100% random misfires” data files. This misfire mode was referred to earlier as the “benchmark” of misfire detection because it is the most difficult to detect. Even for this difficult condition, our misfire model detected all of the misfires and did not flag a single “false alarm”. The “DMSS” value for this file was calculated at 3.8077, much lower than the other files we tested but still above the minimum requirement of 3.0.

0 200 400 600 800 1000 1200 1400 1600 1800 2000-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

'x' -

- M

isfir

e;

'o' -

- Nor

mal

Firi

ng

13 120n3007.kdt: DMSS=7.9965 ( SDnf=0.0182, SDmf=0.0052 )

Firing Number

0-7803-7954-3/03/$17.00 ©2003 IEEE. 3380

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712

repetitiveness and uniformity in pictorial aspect. These The general topography of Dirab region is steeplyimages delineate many major features on the earth’s undulating terrain dissected by valleys. There are twosurface, such as natural vegetation, crops, surface water, valleys in the area: Lida valley and Al-Awsat valley,soils and geology. The synoptic view and high resolution which are exploited mainly for their high agriculturalof the Landsat images offer a viable technological potential. Wheat, alfalfa and other crops are grownsolution for monitoring vegetation changes. However, the primarily with the use of central pivot irrigation system.use of satellite remote sensing for land cover changes However, the poor quality of water is not conductive todepends on adequate understanding of landscape growth of crops; and in some cases, this has forced manyfeatures, imaging systems and information extraction farmers with large holdings to limit their agriculturalmethodology employed in relation to the aims of the activity. analysis. The main goal of this study was to determineusing Landsat TM and ETM+ imagery, the temporal land Multi Temporal Satellite Data: The landsat TM andcover changes from 1990 to 2006 and to assess in-season ETM+ data for the period from 1990 to 2006 were used tochanges in vegetation in 2000 and 2006 in Dirab region of study the land cover and vegetation changes in DirabSaudi Arabia. region of Saudi Arabia. Satellite images of path 165/043

MATERIAL AND METHODS Landsat TM and ETM+ data were acquired from Global

Description of the Study Area: The area under study was (Table 1). The features of Landsat Images are presented inabout 50 km west of Riyadh and located between 24° 20´ Table 2.35" and 24° 30´ 51" N Latitude and 46° 31´ 41" and 46° 45´34" E Longitude. The study area (Dirab) had a dry Land Cover Mapping and In-season Vegetation Changecontinental climate with hot summer and cold to moderate Detection: Remote sensing change detection based onwinters. The average temperature was 35° C. The geology multitemporal, multispectral and multisensor imagery hasof the area was predominantly sandstone with been developed over several decades and provided timelysubordinate limestone from Mesozoic age. The and comprehensive information for planning andsedimentary formation, which underlaid Dirab, was a part decision-making. Landsat TM and ETM+ data were usedof an extremely thick sequence of rock bed that dipped to calculate the NDVI and identify the trend in vegetationeasterly of the Arabian shield. The water-bearing changes for the study period. The Erdas Imaginesandstone and limestone beds store substantial volume Professional 10 software was used for satellite imageof water and constitute an important alluvial aquifer. processing. Raw images were imported into Erdas

and 166/043 covered the study area (Figure 1). The

Land Cover Facility (GLFC) for the five different dates

Fig. 1: Location map of the study area

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Table 1: Details of data obtained from archive of the Global Land Cover

Facility

S.N. ID WRS:P/R Acquisition date Data Set Source

1 203-839 166.043 07/09/1990 TM USGS

2 212-570 166.043 02/09/2000 ETM+ USGS

3 212-509 165.043 16/12/2000 ETM+ USGS

4 219-178 166.043 22/01/2006 ETM+ USGS

5 219-121 165.043 04/03/2006 ETM+ USGS

Table 2: The specifications of Landsat data

Spatial Spectral

Resolution (m) Resolution (µm)

Spectral Bands ------------------------- ------------------------------

Band TM ETM+ TM ETM+

1. Blue 30 30 0.45 - 0.52 0.45 - 0.52

2. Green 30 30 0.52 - 0.60 0.53 - 0.61

3. Red 30 30 0.63 - 0.69 0.63 - 0.69

4. Near IR 30 30 0.76 - 0.90 0.78 - 0.90

5. Middle IR 30 30 1.55 - 1.75 1.55 - 1.75

6. Thermal IR 120 60 10.4 - 12.5 10.4 - 12.5

7. Middle IR 30 30 2.08 - 2.35 2.09 - 2.35

8. Panchromatic - 15 - 0.52 - 0.90

software and subset images of Dirab region (study area)were generated from two different Landsat scenes (Fig. 1).After subsetting of the study area with reference togeographic co-ordinates, digital numbers (DN) wereconverted to Normalized Difference Vegetation Index(NDVI) values. Normalized Difference Vegetation Index(NDVI) values were derived using the following formulaof Rouse et al. [13]: C NDVI = NIR-R / NIR+R

Where, NIR is reflectance in Near Infrared bandand R is reflectance in red band. The wavebandsrepresenting near-infrared and visible-red region wereextracted from each Landsat dataset to calculate theNormalized Difference Vegetation Index (NDVI) values.The Principal Component Analysis (PCA) was used toreduce noise, multiband correlation and compressinformation in bands [14-21]. All the digital numbers (DN)of image pixels were exported into Excel to obtain actualvalues of NDVI using statistical equations. The NDVImaps of the study area were prepared using ArcMapsoftware (Figures 2-6). These NDVI values and maps wereused to detect the changes in vegetation over the studyperiod.

Fig. 2: NDVI map of Dirab region (07/09/1990)

Fig. 3: NDVI map of Dirab region (02/09/2000)

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Fig. 4: NDVI map of Dirab region (16/12/2000)

Fig. 5: NDVI map of Dirab region ( 22/01/2006)

Fig. 6: NDVI map of Dirab region (04/03/2006)

RESULTS AND DISCUSSION indicate more “green” cover type [15] and increase

Because of sparse vegetation, it is always maps of the study area from 1990 to 2006 and fiveintrinsically difficult to analyze vegetation cover in NDVI classes are presented in Figures 2-6. The dataarid regions using remote sensing data. NDVI values revealed significant changes in vegetation, vigor andgenerally range from -1.0 to +1.0, where negative values density in response to biophysical conditionsrepresent clouds, snow, water and other non- including soil type, nature of vegetation, weather andvegetated surface and positive values represent anthropological factors. The mean NDVI values (Table 3vegetated surfaces. The NDVI values increase as the and Figure 7) ranged from 0.091728 (September 2000) toquantity of green biomass increases. Higher NDVI values 0.462475 (January 2006).

in biomass per unit area, and vice versa. The NDVI

NDVI

165.33

624.15

1016.55

417.6

603.18

0

200

400

600

800

1000

1200

7/9/1990 2/9/2000 16/12/2000 22/01/2006 4/3/2006

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Fig. 7: Temporal changes in NDVI values

Fig. 8: Area under healthy biomass based on NDVIvalues (Class-I and II)

This indicates that the vegetation in the study areahad a higher active biomass during January 2006 thanduring any other period. The in-season maximum NDVIvalues, during the year 2000, increased from 0.373933during September to +0.850776 during December. Thesowing of wheat crop in the region is generally performedduring the months of October and November. As a resultthere was an increase in the maximum NDVI values duringDecember. During the year 2006, the in-season maximumNDVI values decreased from 0.995817 during January to0.645446 during March. This decrease is attributed to theharvest of the predominantly grown alfalfa crop whichtook place between January and March 2006. The resultsalso indicated that the period of maximum vegetationin the region was in January. For the years from 1990 to2006 the maximum NDVI values were observed togradually increase from 0.373933 in September to 0.850776in December and ultimately reach the highest NDVI valueof 0.995817 in January and decreased thereafter to

Table 3: The temporal variation in NDVI values from 1990-2006Date Min. NDVI Max. NDVI Mean NDVI07/09/1990 -0.247312 0.572008 0.16234802/09/2000 -0.190476 0.373933 0.09172816/12/2000 -0.571429 0.850776 0.13967322/01/2006 -0.0708661 0.995817 0.46247504/03/2006 -0.292035 0.645446 0.176705

0.645446 during March. The temporal changes in the areaunder healthy biomass based on NDVI values from ClassI and II are presented in Figure 8.

The largest area under healthy biomass of 1016.55 hawas observed during December 2000, however, thesmallest area of 165.33 ha was observed during September1990. The temporal NDVI changes clearly depicted thenature of seasonal variation in the vegetation of theregion due to anthropological factors. The major activityin the area that influenced the changes in vegetation wasthe agricultural activity. The sowing season generallystarted during October and November and hence therewas a gradual build up of the biomass and consequentincrease in NDVI values due to growth and developmentof agricultural crops until wheat crop is harvested inMarch and April. However, fluctuations in the vegetationof the area were due to cultivation of alfalfa, which is amulti-cut crop generally harvested at an interval of 60days. Bagour et al. [11] concluded that imagery ofAugust month was not ideal for measuring vegetation innorth eastern part of Saudi Arabia, because thevegetation was at a seasonally low level and there waslittle vegetation in the desert study area. The study area(Dirab region) was also a desert ecosystem and the onlyvegetation observed was the biomass of agriculturalcrops grown in the region under center pivot irrigationsystems.

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CONCLUSION 8. Baboo, S.S. and M.R. Devi, 2010. Integrations of

The present study analyzed the land cover changes Cover Change Detection of Coimbatore District. Int.in Dirab region of Saudi Arabia using multi temporal TM J. Comp. Sci. Eng., 2(9): 3085-3088.and ETM+ data from 1990 to 2006. NDVI maps created for 9. Pirasteh, S., S.A.Ali and H.J. Hussain, 2005.comparing temporal land cover changes indicated Greenrey (Green Space) Percentage Estimation Usingsignificant changes in vegetation of the region. The mean Band Ratio, NDVI From Landsat Enhanced ThematicNDVI values ranged from 0.373933 (September 2000) to Mapper (ETM)-2002 & An Application Of0.995817 (January 2006). The area under healthy biomass Geographic Information System (GIS) Techniques,in the region ranged from 165.33 ha in September 1990 to Dezful-Andimeshk, Khuzestan South-West Iran. 8th1016.55 ha in December 2000. The use of Landsat imagery annual international conference, New Delhi, India.and NDVI mapping were found to be quite useful in 10. Malika, B., A.D. Dale, F.F. Lynn and H.Y. Michael,assessing temporal land cover changes. 2010. Monitoring Vegetation Phenological Cycles in

ACKNOWLEDGEMENT Using a Ground-Based NDVI System: A Potential

This project was supported by King Saud University, Remote Sens., 2: 990-1013.Deanship of Scientific Research, College of Food and 11. Bagour, M.H., S. Al-Mahlafe, A. Jacob and A. Fahsi,Agriculture Sciences, Research center. 2006. Change detection of the vegetation cover

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