I ran a number of simulations for symbol timing synchronization in the past. I used GNU Radio mainly. Now, I'm trying to do the same thing in C++. To achieve that, I need a way to introduce symbol offset to the symbols. So suppose I have a complex array of $M$ samples acquired at a sampling rate of $N$ samples per symbol. How do I introduce a symbol offset of say $\mu = 100 \ \rm ppm$ of the symbol time? Pseudocode, C++, or MATLAB script will suffice.