Convolution of Signal with a Wavelet I know that the complex wavelet transform is given by
$$\int_{-\infty}^{\infty}f(x)\psi^*_{s,u}(x)\,dx$$
where $f$ is the signal, $\psi_{s,u}(x)=\frac{1}{\sqrt{s}}\psi(\frac{x-u}{s})$ is the wavelet.
and $^*$ denotes the complex conjugate operation.

If I have the wavelet $\psi_{s,u}$, which is represented by psi in MATLAB, and I want to compute the above integral. Which command should I use for computation in MATLAB?

conv(f,psi) or conv(f,conj(psi))?

since conj computes the complex conjugate of a vector? Thanks in advance!
The complex conjugate is applied in the frequency domain, which corresponds to flipping the signal backwards in the time domain. When you have $$f(x)\psi^*_{s,u}(x)$$ this is a multiplication in the frequency domain. Multiplication becomes convolution in the time domain. So you should use conv(f,fliplr(psi))