Algorithm 1 ML-DWT Algorithm

Input: $\mathit{x}$             ▹ len($\mathit{x}$)=128 Output: ${\mathit{W}}_{\mathbf{4}}$          ▹ len(${\mathit{W}}_{\mathbf{4}}$)=145 1:  procedure ML-DWT 2:          ${\mathit{A}}_{\mathit{L}}=[x_0,x_1,...,x_{127}]$ 3:          ${\mathit{h}}_{\mathbf{0}}=[h_{0,0},h_{0,1},...,h_{0,5}]$ 4:          ${\mathit{h}}_{\mathbf{1}}=[h_{1,0},h_{1,1},...,h_{1,5}]$ 5:      repeat 6:          ${\mathit{A}}_{\mathit{pad}}$ = Pad (${\mathit{A}}_{\mathit{L}}$) 7:          $L=L+1$ 8:          ${\mathit{A}}_{\mathit{L}},{\mathit{D}}_{\mathit{L}}$ = WT (${\mathit{A}}_{\mathit{pad}}$, ${\mathit{h}}_{\mathbf{0}}$, ${\mathit{h}}_{\mathbf{1}}$) 9:      until L=4 10:      $W_4[0:11]={\mathit{A}}_{\mathbf{4}}$ 11:      $W_4[12:23]={\mathit{D}}_{\mathbf{4}}$ 12:      $W_4[24:43]={\mathit{D}}_{\mathbf{3}}$ 13:      $W_4[44:78]={\mathit{D}}_{\mathbf{2}}$ 14:      $W_4[79:144]={\mathit{D}}_{\mathbf{1}}$ 15:      return ${\mathit{W}}_{\mathbf{4}}$ 16:  end procedure   17:  function Pad ($\mathit{A}$) 18:      $N=len\left(\mathit{A}\right)$ 19:      $M=N+8$ 20:      ${\mathit{A}}_{\mathit{pad}}[0:M-1]=\{0,0,...,0\}$ 21:      ${\mathit{A}}_{\mathit{pad}}=[x_3,x_2,x_1,x_0,x_0,x_1,...$ $...,x_{N-2},x_{N-1},x_{N-1},x_{N-2},x_{N-3},x_{N-4}]$ 22:      return ${\mathit{A}}_{\mathit{pad}}$ 23:  end function   24:  function WT (${\mathit{A}}_{\mathit{L}}$, ${\mathit{h}}_{\mathbf{0}}$, ${\mathit{h}}_{\mathbf{1}}$) 25:      $N=len\left(A_L\right)$ 26:      $M=N/2$ 27:      ${\mathit{A}}_{\mathit{L}+\mathbf{1}}[0:M-1]=\{0,0,...,0\}$ 28:      ${\mathit{D}}_{\mathit{L}+\mathbf{1}}[0:M-1]=\{0,0,...,0\}$ 29:      for $i=0$ to $M-1$ do 30:          for $j=0$ to 5 do 31:             ${\mathit{A}}_{\mathit{L}+\mathbf{1}}\left[i\right]={\mathit{A}}_{\mathit{L}+\mathbf{1}}\left[i\right]+h_0\left[j\right]A_L[2i+j]$ 32:             ${\mathit{D}}_{\mathit{L}+\mathbf{1}}\left[i\right]={\mathit{A}}_{\mathit{L}+\mathbf{1}}\left[i\right]+h_1\left[j\right]A_L[2i+j]$ 33:          end for 34:      end for 35:      return ${\mathit{A}}_{\mathit{L}+\mathbf{1}},{\mathit{D}}_{\mathit{L}+\mathbf{1}}$ 36:  end function