Discrete Wavelet Transforms, a Java Implementation

Mark H Bishop

Rate me:

4.95/5 (16 votes)

13 Nov 2014CPOL10 min read

60.5K

5.6K

This article presents a Java example application that performs discrete wavelet transforms.

DwtSrc.zip
- DwtDemo
  - .~lock.TestSignal.xls#
  - .classpath
  - .project
  - .settings
    - org.eclipse.jdt.core.prefs
  - bin
    - Colors.class
    - DWT$Direction.class
    - DWT.class
    - Examples.class
    - FileOps.class
    - ImagePanel.class
    - MainForm$1.class
    - MainForm$10.class
    - MainForm$11.class
    - MainForm$12.class
    - MainForm$13.class
    - MainForm$14.class
    - MainForm$15.class
    - MainForm$16.class
    - MainForm$17.class
    - MainForm$18.class
    - MainForm$19.class
    - MainForm$2.class
    - MainForm$3.class
    - MainForm$4.class
    - MainForm$5.class
    - MainForm$6.class
    - MainForm$7.class
    - MainForm$8.class
    - MainForm$9.class
    - MainForm.class
    - MatrixForm$1.class
    - MatrixForm$2.class
    - MatrixForm$3.class
    - MatrixForm$4.class
    - MatrixForm$5.class
    - MatrixForm$6.class
    - MatrixForm$7.class
    - MatrixForm$8.class
    - MatrixForm.class
    - MatrixOps.class
    - OrthogonalFilters.class
    - ParameterInput$1.class
    - ParameterInput$2.class
    - ParameterInput$3.class
    - ParameterInput.class
    - PlotFrame$1.class
    - PlotFrame$10.class
    - PlotFrame$11.class
    - PlotFrame$2.class
    - PlotFrame$3.class
    - PlotFrame$4.class
    - PlotFrame$5.class
    - PlotFrame$6.class
    - PlotFrame$7.class
    - PlotFrame$8.class
    - PlotFrame$9.class
    - PlotFrame.class
    - Signal$RangeOption$1.class
    - Signal$RangeOption$2.class
    - Signal$RangeOption.class
    - Signal.class
    - StringUtils.class
    - VariableProvider.class
    - VisualizeMultiResolution$1.class
    - VisualizeMultiResolution.class
    - Wavelet.class
  - jel-2.0.1
    - CODEGEN_HOW_TO
    - COPYING
    - docs
      - api
        
        allclasses-frame.html
        
        allclasses-noframe.html
        
        constant-values.html
        
        deprecated-list.html
        
        gnu
        
        jel
        
        ClassFile.html
        
        class-use
        
        ClassFile.html
        
        CompilationException.html
        
        CompiledExpression.html
        
        DVMap.html
        
        Evaluator.html
        
        ImageLoader.html
        
        Library.html
        
        LocalField.html
        
        LocalMethod.html
        
        OP.html
        
        OPbinary.html
        
        OPcall.html
        
        OPcondtnl.html
        
        OPload.html
        
        OPunary.html
        
        Parser.html
        
        TableKeeper.html
        
        TableWriter.html
        
        CompilationException.html
        
        CompiledExpression.html
        
        debug
        
        class-use
        
        Debug.html
        
        Debug.html
        
        package-frame.html
        
        package-summary.html
        
        package-tree.html
        
        package-use.html
        
        DVMap.html
        
        Evaluator.html
        
        ImageLoader.html
        
        Library.html
        
        LocalField.html
        
        LocalMethod.html
        
        OP.html
        
        OPbinary.html
        
        OPcall.html
        
        OPcondtnl.html
        
        OPload.html
        
        OPunary.html
        
        package-frame.html
        
        package-summary.html
        
        package-tree.html
        
        package-use.html
        
        Parser.html
        
        reflect
        
        Boolean.html
        
        Byte.html
        
        Character.html
        
        class-use
        
        Boolean.html
        
        Byte.html
        
        Character.html
        
        Double.html
        
        Float.html
        
        Integer.html
        
        Long.html
        
        Short.html
        
        String.html
        
        Double.html
        
        Float.html
        
        Integer.html
        
        Long.html
        
        package-frame.html
        
        package-summary.html
        
        package-tree.html
        
        package-use.html
        
        Short.html
        
        String.html
        
        TableKeeper.html
        
        TableWriter.html
        
        help-doc.html
        
        index.html
        
        index-all.html
        
        overview-frame.html
        
        overview-summary.html
        
        overview-tree.html
        
        package-list
        
        resources
        
        inherit.gif
        
        serialized-form.html
        
        stylesheet.css
      - back1.gif
      - EC.html
      - gnu-head-sm-transp.png
      - jel.css
      - license.txt
      - manual.html
    - Java Expressions Library.html
    - lib
      - jel.jar
      - jel_g.jar
    - README
    - RELNOTES
    - samples
      - calculator
        
        Calculator.class
        
        Calculator.java
        
        README
      - testbed
        
        Data.java
        
        DVResolverProvider.java
        
        GlobalContext.java
        
        YourTestBed.java
      - testsuite
        
        README
        
        tests.jar
    - source
      - build.xml
      - src
        
        docs
        
        CODEGEN_HOW_TO
        
        COPYING
        
        html
        
        back1.gif
        
        EC.html
        
        gnu-head-sm-transp.png
        
        index.html
        
        jel.css
        
        license.txt
        
        manual.html
        
        manual.xml
        
        README
        
        README.calculator
        
        README.testbed
        
        README.testsuite
        
        RELNOTES
        
        java
        
        Calculator.java
        
        Data.java
        
        DVResolverProvider.java
        
        GlobalContext.java
        
        gnu
        
        jel
        
        ClassFile.java
        
        CompilationException.java
        
        CompiledExpression.java
        
        debug
        
        Debug.java
        
        DVMap.java
        
        Evaluator.java
        
        ImageLoader.java
        
        IntegerStack.java
        
        JEL.properties
        
        Library.java
        
        LocalField.java
        
        LocalMethod.java
        
        OP.java
        
        OPbinary.java
        
        OPcall.java
        
        OPcondtnl.java
        
        OPload.java
        
        OPunary.java
        
        Parser.java
        
        reflect
        
        Boolean.java
        
        Byte.java
        
        Character.java
        
        Double.java
        
        Float.java
        
        Integer.java
        
        Long.java
        
        Short.java
        
        String.java
        
        TableKeeper.java
        
        TableWriter.java
        
        YourTestBed.java
        
        tests
        
        gnu
        
        jel
        
        ClassFileExprTest.java
        
        ClassFileTest.java
        
        IntegerStackTest.java
        
        IntegralDotOperatorTest.java
        
        IntegralDowncastingTest.java
        
        IntegralDynamicVariablesTest.java
        
        IntegralErrorTest.java
        
        IntegralExceptionsPassingTest.java
        
        IntegralPrimitiveOPsTest.java
        
        IntegralReferencesWideningTest.java
        
        IntegralStaticTest.java
        
        IntegralVarARRTest.java
        
        IntegralVirtualTest.java
        
        JELTestSuite.java
        
        LibraryDotOPTest.java
        
        LibraryTest.java
        
        ParserTest.java
        
        TestingUtils.java
        
        tests
        
        BooleanObject.java
        
        ByteObject.java
        
        CharacterObject.java
        
        DoubleObject.java
        
        FloatObject.java
        
        IntegerObject.java
        
        LongObject.java
        
        ShortObject.java
        
        StringObject.java
        
        VariableProvider.java
      - third-party
        
        junit.jar
  - runnable
    - DwtRunnable.jar
  - scilabTestCommands.txt
  - ScilabWavelab_demo_Comparison.xls
  - src
  - TestSignal.xls
  - TestSignalXY.csv
  - TestSignalY.csv
DwtRunnable.zip
- DwtRunnable.jar

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<HTML>
<HEAD>
<TITLE>BNF for EC.jj</TITLE>
</HEAD>
<BODY>
<H1 ALIGN=CENTER>BNF for EC.jj</H1>
<H2 ALIGN=CENTER>NON-TERMINALS</H2>
<TABLE>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod1">expression</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod2">conditional</A> ( &lt;EOF&gt; )</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod2">conditional</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod3">lor</A> ( "?" <A HREF="#prod2">conditional</A> ":" <A HREF="#prod2">conditional</A> )?</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod3">lor</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod4">land</A> ( &lt;LOR&gt; <A HREF="#prod4">land</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod4">land</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod5">bor</A> ( &lt;LAND&gt; <A HREF="#prod5">bor</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod5">bor</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod6">bxor</A> ( &lt;OR&gt; <A HREF="#prod6">bxor</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod6">bxor</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod7">band</A> ( &lt;XOR&gt; <A HREF="#prod7">band</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod7">band</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod8">equality</A> ( &lt;AND&gt; <A HREF="#prod8">equality</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod8">equality</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod9">relation</A> ( ( &lt;EQ&gt; | &lt;NE&gt; ) <A HREF="#prod9">relation</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod9">relation</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod10">shift</A> ( ( &lt;LT&gt; | &lt;GE&gt; | &lt;GT&gt; | &lt;LE&gt; ) <A HREF="#prod10">shift</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod10">shift</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod11">sum</A> ( ( &lt;LS&gt; | &lt;RS&gt; | &lt;RUS&gt; ) <A HREF="#prod11">sum</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod11">sum</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod12">term</A> ( ( &lt;PLUS&gt; | &lt;MINUS&gt; ) <A HREF="#prod12">term</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod12">term</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod13">unary</A> ( ( &lt;MULTIPLY&gt; | &lt;DIVIDE&gt; | &lt;REMAINDER&gt; ) <A HREF="#prod13">unary</A> )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod13">unary</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>( &lt;BWCOMPL&gt; | &lt;LOGCOMPL&gt; | &lt;MINUS&gt; ) <A HREF="#prod13">unary</A></TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>"(" &lt;ID&gt; ( "." &lt;ID&gt; )* ")" <A HREF="#prod14">element</A></TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE><A HREF="#prod14">element</A></TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod14">element</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;TRUE&gt;</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;FALSE&gt;</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>( ( <A HREF="#prod15">literal</A> | "(" <A HREF="#prod2">conditional</A> ")" | <A HREF="#prod16">invocation</A> ) ( &lt;DOT&gt; <A HREF="#prod16">invocation</A> )* )</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod16">invocation</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;ID&gt; ( "(" ( <A HREF="#prod2">conditional</A> ( "," <A HREF="#prod2">conditional</A> )* )? ")" )? ( "[" <A HREF="#prod2">conditional</A> "]" )*</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE><A NAME="prod15">literal</A></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>::=</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;INTEGER_LITERAL&gt;</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;FLOATING_POINT_LITERAL&gt;</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;CHARACTER_LITERAL&gt;</TD>
</TR>
<TR>
<TD ALIGN=RIGHT VALIGN=BASELINE></TD>
<TD ALIGN=CENTER VALIGN=BASELINE>|</TD>
<TD ALIGN=LEFT VALIGN=BASELINE>&lt;STRING_LITERAL&gt;</TD>
</TR>
</TABLE>
</BODY>
</HTML>

By viewing downloads associated with this article you agree to the Terms of Service and the article's licence.

If a file you wish to view isn't highlighted, and is a text file (not binary), please let us know and we'll add colourisation support for it.

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

Written By

Mark H Bishop

Founder PEI Watershed Alliance, Inc.

United States

I am an analytical chemist and an educator. I program primarily to perform matrix computations for regression analysis, process signals, acquire data from sensors, and to control devices.

I participate in many open source development communities and Linux user forums. I do contract work for an environmental analytical laboratory, where I am primarily focused on LIMS programming and network administration.

I am a member of several community-interest groups such as the Prince Edward Island Watershed Alliance, the Lot 11 and Area Watershed Management Group, and the Petersham Historic Commission.

Discrete Wavelet Transforms, a Java Implementation

License

Comments and Discussions