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        <p style="Chapter Head" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">WAVELETS EXTENSION PACK</p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This appendix is provided to give a graphical representation of the </p>
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          <c val="#000">The Haar wavelet is a square wave. It was discovered by the mathematician Haar in 1910 (see </c>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">The daublets were the first type of continuous orthogonal wavelet families with compact support. This type of wavelet is named in honor of its discoverer Ingrid Daubechies, who is one of the pioneers in wavelets research.</p>
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        <p style="Heading 2" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Symmlets: Least Asymmetric Wavelets</p>
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        <phrase>symmlets</phrase>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">The symmlets have compact support and were constructed by Daubechies. The daublets are quite asymmetrical, and the symmlets were constructed to be as nearly symmetrical as possible.</p>
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        <p style="Heading 2" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Coiflets </p>
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        <phrase>Daubechies, Ingrid</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Heading 2" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Battle-Lemarie</p>
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      <indexes>
        <phrase>Battle-Lemarie</phrase>
      </indexes>
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      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Allowable filter values: "bl<f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">n</inlineAttr></b></f><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">"</inlineAttr></f><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false"><sp /></inlineAttr></b></f>i<c val="#000">mplemented for </c><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false"><c val="#000">n</c></inlineAttr></b></f><c val="#000"> = 0,1..6</c><c val="#000">.</c></p>
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">filter</ml:id>
          <ml:str xml:space="preserve">bl2</ml:str>
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      <rendering item-idref="55" />
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    <region region-id="1816" left="6" top="2676" width="339.75" height="183.75" align-x="6" align-y="2676" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <plot disable-calc="false" item-idref="56" />
      <rendering item-idref="57" />
    </region>
    <region region-id="1819" left="0" top="2880" width="6000" height="6" align-x="0" align-y="2880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
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    <region region-id="1817" left="6" top="2886.75" width="117.75" height="14.25" align-x="6" align-y="2898" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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        <p style="Heading 1" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Biorthogonal Wavelets </p>
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      <indexes>
        <phrase>biorthogonal wavelets</phrase>
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    <region region-id="1818" left="6" top="2910.75" width="41.25" height="14.25" align-x="6" align-y="2922" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Heading 2" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Bspline </p>
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      <indexes>
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
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          <ml:real>-3</ml:real>
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      <rendering item-idref="58" />
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">hi</ml:id>
          <ml:real>4</ml:real>
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      <rendering item-idref="59" />
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">Δ</ml:id>
          <ml:apply>
            <ml:div />
            <ml:apply>
              <ml:minus />
              <ml:id xml:space="preserve">hi</ml:id>
              <ml:id xml:space="preserve">lo</ml:id>
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            <ml:id xml:space="preserve">N</ml:id>
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      <rendering item-idref="60" />
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      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:apply>
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            <ml:id xml:space="preserve">i</ml:id>
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      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Allowable filter values: "bs<f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">m</inlineAttr></b></f><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">n</inlineAttr></b></f><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">" </inlineAttr></f>i<c val="#000">mplemented</c><c val="#000080"><sp /></c><c val="#000">for (</c><f family="Times New Roman" charset="0"><c val="#000"><b><inlineAttr line-through="false">m</inlineAttr></b></c></f><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false"><c val="#000">n</c></inlineAttr></b></f><c val="#000">) = 11-15 odd, 22-28 even, and 31-39 odd. </c><c val="#000">Try some examples: </c>"<c val="#000">bs33,</c>" "<c val="#000">bs37,</c>" "<c val="#000">bs22,</c>" and so on<c val="#000">.</c></p>
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      <math optimize="false" disable-calc="false">
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      <plot disable-calc="false" item-idref="63" />
      <rendering item-idref="64" />
    </region>
    <region region-id="1707" left="30" top="3234.75" width="65.25" height="14.25" align-x="30" align-y="3246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Dual wavelets:</p>
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