diff --git a/lib/Makefile.am b/lib/Makefile.am
index 9fb5e8c..8f33d71 100644
--- a/lib/Makefile.am
+++ b/lib/Makefile.am
@@ -48,6 +48,8 @@ libLatAnalyze_la_SOURCES =           \
     Io/XmlReader.cpp                 \
     Io/Xml/tinyxml2.cpp              \
     Numerical/Derivative.cpp         \
+    Numerical/DWT.cpp                \
+    Numerical/DWTFilters.cpp         \
     Numerical/GslFFT.cpp             \
     Numerical/GslHybridRootFinder.cpp\
     Numerical/GslMinimizer.cpp       \
@@ -92,6 +94,8 @@ HPPFILES =                           \
     Io/IoObject.hpp                  \
     Io/XmlReader.hpp                 \
     Numerical/Derivative.hpp         \
+    Numerical/DWT.hpp                \
+    Numerical/DWTFilters.hpp         \
     Numerical/FFT.hpp                \
     Numerical/GslFFT.hpp             \
     Numerical/GslHybridRootFinder.hpp\
diff --git a/lib/Numerical/DWT.cpp b/lib/Numerical/DWT.cpp
new file mode 100644
index 0000000..b5c49a7
--- /dev/null
+++ b/lib/Numerical/DWT.cpp
@@ -0,0 +1,57 @@
+/*
+ * DWT.cpp, part of LatAnalyze
+ *
+ * Copyright (C) 2013 - 2020 Antonin Portelli
+ *
+ * LatAnalyze is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * LatAnalyze is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with LatAnalyze.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include <LatAnalyze/Numerical/DWT.hpp>
+#include <LatAnalyze/includes.hpp>
+
+using namespace std;
+using namespace Latan;
+
+/******************************************************************************
+ *                            DWT implementation                              *
+ ******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+DWT::DWT(const DWTFilter &filter)
+: filter_(filter)
+{}
+
+// convolution primitive ///////////////////////////////////////////////////////
+DVec DWT::filterConvolution(const DVec &data, const DWTFilter &filter, 
+                            const Index offset)
+{
+    DVec res(data.size());
+
+    return res;
+}
+
+// DWT /////////////////////////////////////////////////////////////////////////
+std::vector<DWT::DWTLevel> 
+DWT::forward(const DVec &data, const unsigned int level) const
+{
+    std::vector<DWT::DWTLevel> dwt(level);
+
+    return dwt;
+}
+
+DVec DWT::backward(const std::vector<DWTLevel>& dwt) const
+{
+    DVec res;
+
+    return res;
+}
diff --git a/lib/Numerical/DWT.hpp b/lib/Numerical/DWT.hpp
new file mode 100644
index 0000000..f1ee646
--- /dev/null
+++ b/lib/Numerical/DWT.hpp
@@ -0,0 +1,52 @@
+/*
+ * DWT.hpp, part of LatAnalyze
+ *
+ * Copyright (C) 2013 - 2020 Antonin Portelli
+ *
+ * LatAnalyze is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * LatAnalyze is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with LatAnalyze.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#ifndef Latan_DWT_hpp_
+#define Latan_DWT_hpp_
+
+#include <LatAnalyze/Global.hpp>
+#include <LatAnalyze/Numerical/DWTFilters.hpp>
+
+BEGIN_LATAN_NAMESPACE
+
+/******************************************************************************
+ *                   Discrete wavelet transform class                         *
+ ******************************************************************************/
+class DWT
+{
+public:
+  typedef std::pair<DVec, DVec> DWTLevel;
+public:
+    // constructor
+    DWT(const DWTFilter &filter);
+    // destructor
+    virtual ~DWT(void) = default;
+    // convolution primitive
+    static DVec filterConvolution(const DVec &data, const DWTFilter &filter,
+                                  const Index offset);
+    // DWT
+    std::vector<DWTLevel> forward(const DVec &data, const unsigned int level) const;
+    DVec                  backward(const std::vector<DWTLevel>& dwt) const;
+private:
+    DWTFilter filter_;
+};
+
+END_LATAN_NAMESPACE
+
+#endif // Latan_DWT_hpp_
diff --git a/lib/Numerical/DWTFilters.cpp b/lib/Numerical/DWTFilters.cpp
new file mode 100644
index 0000000..be3accf
--- /dev/null
+++ b/lib/Numerical/DWTFilters.cpp
@@ -0,0 +1,528 @@
+/*
+ * DWTFilters.cpp, part of LatAnalyze
+ *
+ * Copyright (C) 2013 - 2020 Antonin Portelli
+ *
+ * LatAnalyze is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * LatAnalyze is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with LatAnalyze.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include <LatAnalyze/Numerical/DWTFilters.hpp>
+#include <LatAnalyze/includes.hpp>
+
+// cf. http://wavelets.pybytes.com
+// *here we implement the reverse filters more convenient for convolutions*
+
+using namespace std;
+using namespace Latan;
+
+#define FILTDICT(x) {#x, &DWTFilters::x}
+
+std::map<std::string, const DWTFilter *> DWTFilters::fromName = {
+    FILTDICT(haar),
+    FILTDICT(db2),
+    FILTDICT(db3),
+    FILTDICT(db4),
+    FILTDICT(db5),
+    FILTDICT(db6),
+    FILTDICT(bior13),
+    FILTDICT(bior15),
+    FILTDICT(bior22),
+    FILTDICT(bior24),
+    FILTDICT(bior31),
+    FILTDICT(bior33),
+    FILTDICT(bior35)
+};
+
+DWTFilter DWTFilters::haar = {
+    // fwdL
+    {0.7071067811865476,
+    0.7071067811865476},
+    // fwdH
+    {0.7071067811865476,
+    -0.7071067811865476},
+    // bwdL
+    {0.7071067811865476,
+    0.7071067811865476},
+    // bwdH
+    {-0.7071067811865476,
+    0.7071067811865476}
+};
+
+DWTFilter DWTFilters::db2 = {
+    // fwdL
+    {0.48296291314469025,
+    0.836516303737469,
+    0.22414386804185735,
+    -0.12940952255092145},
+    // fwdH
+    {-0.12940952255092145,
+    -0.22414386804185735,
+    0.836516303737469,
+    -0.48296291314469025},
+    // bwdL
+    {-0.12940952255092145,
+    0.22414386804185735,
+    0.836516303737469,
+    0.48296291314469025},
+    // bwdH
+    {-0.48296291314469025,
+    0.836516303737469,
+    -0.22414386804185735,
+    -0.12940952255092145}
+};
+
+DWTFilter DWTFilters::db3 = {
+    // fwdL
+    {0.3326705529509569,
+    0.8068915093133388,
+    0.4598775021193313,
+    -0.13501102001039084,
+    -0.08544127388224149,
+    0.035226291882100656},
+    // fwdH
+    {0.035226291882100656,
+    0.08544127388224149,
+    -0.13501102001039084,
+    -0.4598775021193313,
+    0.8068915093133388,
+    -0.3326705529509569},
+    // bwdL
+    {0.035226291882100656,
+    -0.08544127388224149,
+    -0.13501102001039084,
+    0.4598775021193313,
+    0.8068915093133388,
+    0.3326705529509569},
+    // bwdH
+    {-0.3326705529509569,
+    0.8068915093133388,
+    -0.4598775021193313,
+    -0.13501102001039084,
+    0.08544127388224149,
+    0.035226291882100656}
+};
+
+DWTFilter DWTFilters::db4 = {
+    // fwdL
+    {0.23037781330885523,
+    0.7148465705525415,
+    0.6308807679295904,
+    -0.02798376941698385,
+    -0.18703481171888114,
+    0.030841381835986965,
+    0.032883011666982945,
+    -0.010597401784997278},
+    // fwdH
+    {-0.010597401784997278,
+    -0.032883011666982945,
+    0.030841381835986965,
+    0.18703481171888114,
+    -0.02798376941698385,
+    -0.6308807679295904,
+    0.7148465705525415,
+    -0.23037781330885523},
+    // bwdL
+    {-0.010597401784997278,
+    0.032883011666982945,
+    0.030841381835986965,
+    -0.18703481171888114,
+    -0.02798376941698385,
+    0.6308807679295904,
+    0.7148465705525415,
+    0.23037781330885523},
+    // bwdH
+    {-0.23037781330885523,
+    0.7148465705525415,
+    -0.6308807679295904,
+    -0.02798376941698385,
+    0.18703481171888114,
+    0.030841381835986965,
+    -0.032883011666982945,
+    -0.010597401784997278}
+};
+
+DWTFilter DWTFilters::db5 = {
+    // fwdL
+    {0.160102397974125,
+    0.6038292697974729,
+    0.7243085284385744,
+    0.13842814590110342,
+    -0.24229488706619015,
+    -0.03224486958502952,
+    0.07757149384006515,
+    -0.006241490213011705,
+    -0.012580751999015526,
+    0.003335725285001549},
+    // fwdH
+    {0.003335725285001549,
+    0.012580751999015526,
+    -0.006241490213011705,
+    -0.07757149384006515,
+    -0.03224486958502952,
+    0.24229488706619015,
+    0.13842814590110342,
+    -0.7243085284385744,
+    0.6038292697974729,
+    -0.160102397974125},
+    // bwdL
+    {0.003335725285001549,
+    -0.012580751999015526,
+    -0.006241490213011705,
+    0.07757149384006515,
+    -0.03224486958502952,
+    -0.24229488706619015,
+    0.13842814590110342,
+    0.7243085284385744,
+    0.6038292697974729,
+    0.160102397974125},
+    // bwdH
+    {-0.160102397974125,
+    0.6038292697974729,
+    -0.7243085284385744,
+    0.13842814590110342,
+    0.24229488706619015,
+    -0.03224486958502952,
+    -0.07757149384006515,
+    -0.006241490213011705,
+    0.012580751999015526,
+    0.003335725285001549}
+};
+
+DWTFilter DWTFilters::db6 = {
+    // fwdL
+    {0.11154074335008017,
+    0.4946238903983854,
+    0.7511339080215775,
+    0.3152503517092432,
+    -0.22626469396516913,
+    -0.12976686756709563,
+    0.09750160558707936,
+    0.02752286553001629,
+    -0.031582039318031156,
+    0.0005538422009938016,
+    0.004777257511010651,
+    -0.00107730108499558},
+    // fwdH
+    {-0.00107730108499558,
+    -0.004777257511010651,
+    0.0005538422009938016,
+    0.031582039318031156,
+    0.02752286553001629,
+    -0.09750160558707936,
+    -0.12976686756709563,
+    0.22626469396516913,
+    0.3152503517092432,
+    -0.7511339080215775,
+    0.4946238903983854,
+    -0.11154074335008017},
+    // bwdL
+    {-0.00107730108499558,
+    0.004777257511010651,
+    0.0005538422009938016,
+    -0.031582039318031156,
+    0.02752286553001629,
+    0.09750160558707936,
+    -0.12976686756709563,
+    -0.22626469396516913,
+    0.3152503517092432,
+    0.7511339080215775,
+    0.4946238903983854,
+    0.11154074335008017},
+    // bwdH
+    {-0.11154074335008017,
+    0.4946238903983854,
+    -0.7511339080215775,
+    0.3152503517092432,
+    0.22626469396516913,
+    -0.12976686756709563,
+    -0.09750160558707936,
+    0.02752286553001629,
+    0.031582039318031156,
+    0.0005538422009938016,
+    -0.004777257511010651,
+    -0.00107730108499558}
+};
+
+DWTFilter DWTFilters::bior13 = {
+    // fwdL
+    {-0.08838834764831845,
+    0.08838834764831845,
+    0.7071067811865476,
+    0.7071067811865476,
+    0.08838834764831845,
+    -0.08838834764831845},
+    // fwdH
+    {0.0,
+    0.0,
+    0.7071067811865476,
+    -0.7071067811865476,
+    0.0,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.7071067811865476,
+    0.7071067811865476,
+    0.0,
+    0.0},
+    // bwdH
+    {0.08838834764831845,
+    0.08838834764831845,
+    -0.7071067811865476,
+    0.7071067811865476,
+    -0.08838834764831845,
+    -0.08838834764831845}
+};
+
+DWTFilter DWTFilters::bior15 = {
+    // fwdL
+    {0.01657281518405971,
+    -0.01657281518405971,
+    -0.12153397801643787,
+    0.12153397801643787,
+    0.7071067811865476,
+    0.7071067811865476,
+    0.12153397801643787,
+    -0.12153397801643787,
+    -0.01657281518405971,
+    0.01657281518405971},
+    // fwdH
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.7071067811865476,
+    -0.7071067811865476,
+    0.0,
+    0.0,
+    0.0,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.7071067811865476,
+    0.7071067811865476,
+    0.0,
+    0.0,
+    0.0,
+    0.0},
+    // bwdH
+    {-0.01657281518405971,
+    -0.01657281518405971,
+    0.12153397801643787,
+    0.12153397801643787,
+    -0.7071067811865476,
+    0.7071067811865476,
+    -0.12153397801643787,
+    -0.12153397801643787,
+    0.01657281518405971,
+    0.01657281518405971}
+};
+
+DWTFilter DWTFilters::bior22 = {
+    // fwdL
+    {-0.1767766952966369,
+    0.3535533905932738,
+    1.0606601717798214,
+    0.3535533905932738,
+    -0.1767766952966369,
+    0.0},
+    // fwdH
+    {0.0,
+    0.0,
+    0.3535533905932738,
+    -0.7071067811865476,
+    0.3535533905932738,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.3535533905932738,
+    0.7071067811865476,
+    0.3535533905932738,
+    0.0},
+    // bwdH
+    {0.1767766952966369,
+    0.3535533905932738,
+    -1.0606601717798214,
+    0.3535533905932738,
+    0.1767766952966369,
+    0.0}
+};
+
+DWTFilter DWTFilters::bior24 = {
+    // fwdL
+    {0.03314563036811942,
+    -0.06629126073623884,
+    -0.1767766952966369,
+    0.4198446513295126,
+    0.9943689110435825,
+    0.4198446513295126,
+    -0.1767766952966369,
+    -0.06629126073623884,
+    0.03314563036811942,
+    0.0},
+    // fwdH
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.3535533905932738,
+    -0.7071067811865476,
+    0.3535533905932738,
+    0.0,
+    0.0,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.3535533905932738,
+    0.7071067811865476,
+    0.3535533905932738,
+    0.0,
+    0.0,
+    0.0},
+    // bwdH
+    {-0.03314563036811942,
+    -0.06629126073623884,
+    0.1767766952966369,
+    0.4198446513295126,
+    -0.9943689110435825,
+    0.4198446513295126,
+    0.1767766952966369,
+    -0.06629126073623884,
+    -0.03314563036811942,
+    0.0}
+};
+
+DWTFilter DWTFilters::bior31 = {
+    // fwdL
+    {-0.3535533905932738,
+    1.0606601717798214,
+    1.0606601717798214,
+    -0.3535533905932738},
+    // fwdH
+    {0.1767766952966369,
+    -0.5303300858899107,
+    0.5303300858899107,
+    -0.1767766952966369},
+    // bwdL
+    {0.1767766952966369,
+    0.5303300858899107,
+    0.5303300858899107,
+    0.1767766952966369},
+    // bwdH
+    {0.3535533905932738,
+    1.0606601717798214,
+    -1.0606601717798214,
+    -0.3535533905932738}
+};
+
+DWTFilter DWTFilters::bior33 = {
+    // fwdL
+    {0.06629126073623884,
+    -0.19887378220871652,
+    -0.15467960838455727,
+    0.9943689110435825,
+    0.9943689110435825,
+    -0.15467960838455727,
+    -0.19887378220871652,
+    0.06629126073623884},
+    // fwdH
+    {0.0,
+    0.0,
+    0.1767766952966369,
+    -0.5303300858899107,
+    0.5303300858899107,
+    -0.1767766952966369,
+    0.0,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.1767766952966369,
+    0.5303300858899107,
+    0.5303300858899107,
+    0.1767766952966369,
+    0.0,
+    0.0},
+    // bwdH
+    {-0.06629126073623884,
+    -0.19887378220871652,
+    0.15467960838455727,
+    0.9943689110435825,
+    -0.9943689110435825,
+    -0.15467960838455727,
+    0.19887378220871652,
+    0.06629126073623884}
+};
+
+DWTFilter DWTFilters::bior35 = {
+    // fwdL
+    {-0.013810679320049757,
+    0.04143203796014927,
+    0.052480581416189075,
+    -0.26792717880896527,
+    -0.07181553246425874,
+    0.966747552403483,
+    0.966747552403483,
+    -0.07181553246425874,
+    -0.26792717880896527,
+    0.052480581416189075,
+    0.04143203796014927,
+    -0.013810679320049757},
+    // fwdH
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.1767766952966369,
+    -0.5303300858899107,
+    0.5303300858899107,
+    -0.1767766952966369,
+    0.0,
+    0.0,
+    0.0,
+    0.0},
+    // bwdL
+    {0.0,
+    0.0,
+    0.0,
+    0.0,
+    0.1767766952966369,
+    0.5303300858899107,
+    0.5303300858899107,
+    0.1767766952966369,
+    0.0,
+    0.0,
+    0.0,
+    0.0},
+    // bwdH
+    {0.013810679320049757,
+    0.04143203796014927,
+    -0.052480581416189075,
+    -0.26792717880896527,
+    0.07181553246425874,
+    0.966747552403483,
+    -0.966747552403483,
+    -0.07181553246425874,
+    0.26792717880896527,
+    0.052480581416189075,
+    -0.04143203796014927,
+    -0.013810679320049757}
+};
diff --git a/lib/Numerical/DWTFilters.hpp b/lib/Numerical/DWTFilters.hpp
new file mode 100644
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+++ b/lib/Numerical/DWTFilters.hpp
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+/*
+ * DWTFilters.hpp, part of LatAnalyze
+ *
+ * Copyright (C) 2013 - 2020 Antonin Portelli
+ *
+ * LatAnalyze is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * LatAnalyze is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with LatAnalyze.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#ifndef Latan_DWTFilters_hpp_
+#define Latan_DWTFilters_hpp_
+
+#include <LatAnalyze/Global.hpp>
+
+BEGIN_LATAN_NAMESPACE
+
+struct DWTFilter
+{
+    const std::vector<double> fwdL, fwdH, bwdL, bwdH;
+};
+
+namespace DWTFilters
+{
+    extern DWTFilter haar;
+    extern DWTFilter db2;
+    extern DWTFilter db3;
+    extern DWTFilter db4;
+    extern DWTFilter db5;
+    extern DWTFilter db6;
+    extern DWTFilter bior13;
+    extern DWTFilter bior15;
+    extern DWTFilter bior22;
+    extern DWTFilter bior24;
+    extern DWTFilter bior31;
+    extern DWTFilter bior33;
+    extern DWTFilter bior35;
+
+    extern std::map<std::string, const DWTFilter *> fromName;
+}
+
+END_LATAN_NAMESPACE
+
+#endif // Latan_DWTFilters_hpp_