compensation of delay after filtering

Hello, I have a doubt. It is not related to matlab but if anyone can help me it will be great. I have a signal x[n]. I'm applying a filter on it. After filtering, there is a certain amount of shift in the output towards left which I need to remove. How can I do this? Can I somehow tweak the filter coefficients to ensure that this delay gets compensated?

[Birdman]

Can you share what you have done so far?

[SSG_newbiecoder]

I applied a circular shift to the filter output. The delay is getting removed but I don't know if that is acceptable or I should go for some other method

[Birdman]

Code?

[SSG_newbiecoder]

clc;clear all; close all;
A=[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0];

plot(A),hold on;
Lo_D1=[1/8 3/8 3/8 1/8]; %%%LP filter coefficients
Hi_D1=[2 -2 0 0 ]; %%%Hp filter coefficients
[Approx1,Detail1] = swt(A,1,Lo_D1,Hi_D1);%%first level decomposition using atrous algorithm
CA1=Approx1(1,:);
CD1=Detail1(1,:);
plot(CD1);
shift1=(2.^(1))/2
shift_CD1=wshift(1,CD1,-shift1);
plot(shift_CD1,'k');
% 
% 
Lo_D2=[1/8 0 3/8 0 3/8 0 1/8 0];%%%LP filter coefficients for second level
Hi_D2=[0 0 2 0 -2 0 0 0]; %%%Hp filter coefficients for second level
[Approx2,Detail2] = swt(CA1,1,Lo_D2,Hi_D2);%%second level decomposition using atrous algorithm
CA2=Approx2(1,:);
CD2=Detail2(1,:);
% plot(CD2,'c');
shift2=(2.^(2))/2
shift_CD2=wshift(1,CD2,-shift2);
plot(shift_CD2,'m');

[SSG_newbiecoder]

the coefficients are actually