托布利兹变换 toeplitz 变换

托布利兹变换 toeplitz 变换

算术平均变换

'''
An->C
=>(A1+A2+A3+...+An)/n->C,K_ni=1/n
=>+[AiK_ni->C

(Yn-Yn_1)/(Xn-Xn_1)->C
=>Yn/Xn->C

Yn/Xn
=[(Yn-Yn_1+Yn_1-Yn_2+...+Y2-Y1)+Y1]/Xn
=[(Yn-Yn_1)/(Xn-Xn_1)*(Xn-Xn_1)+(Yn_1-Yn_2)/(Xn_1-Xn_2)*(Xn_1-Xn_2)+...+(Y2-Y1)/(X2-X1)*(X2-X1)+Y1]/Xn
X0=Y0=0
=[(Yn-Yn_1)/(Xn-Xn_1)*(Xn-Xn_1)+(Yn_1-Yn_2)/(Xn_1-Xn_2)*(Xn_1-Xn_2)+...+(Y2-Y1)/(X2-X1)*(X2-X1)+(Y1-Y0)/(X1-X0)*(X1-X0)]/Xn

Kni=(Xi-Xi_1)/Xn
limYn/Xn=lim(Yn-Yn_1)/(Xn-Xn_1)

An>0,+[Ai->+00
limBn/An=C
lim+[Bi/+[Ai=C
Dn=(+[Bn-+[Bn_1)/(+[An-+[An_1)
limDn=C

'''