Hello,

I imagine you are using the following equation to compute the Ricker Wavelet:

Equation 1:  s=(((1-2*pi^2*f^2*(t).^2).*exp(-pi^2*f^2*(t).^2)));

If you want to perform a Phase Shift in time domain you need only to multiply your wavelet by exp(i*ang) where ang is the degree of the phase shift in radians.

Equation 2: (Ricker wavelet shifted by 45º) s.*exp(i*pi/4)

Noticed the usage of the dot product, because this is a pointwised multiplication.

Best,

Wanderson

Thanks Mr. Ferrira but I think your answer isn't correct because by this equation the shape of wavelet doesn't change 

Oh, I see what you mean now. I was talking about a shift in time domain, for example delaying the wavelet two or three samples. My mistake.

I wrote the following code in MATLAB to answer your question. There is a plot attached too.

Best,

Wanderson

%Ricker wavelet analysis

t = (-(0.1):0.001:0.1)'; %time series

Fc = 30; %central frequency

p = Fc.*Fc.*t.*t;

amplitude = (1-2*pi*pi.*p).*exp(-pi*pi.*p);

plot(t,amplitude)

ylabel('Amplitude')

xlabel('Timeseries (s)')

grid on

%wavelet phase rotated

phase = 90; %degrees

phase = phase*pi/180; %radians

x = hilbert(amplitude); %hilbert transform

x2 = cos(phase)*real(x) - sin(phase)*imag(x);

hold on

plot(t,x2,'-r')

Thanks Mr. Ferriera.