A method for performing a spline interpolation to up-sample audio data includes up-sampling an input audio signal to generate a first signal having a first frequency. The input audio signal is sampled at an input frequency. The method also includes interpolating data of the first signal to generate a second signal having a second frequency. The data of the first signal is interpolated based on a B-spline interpolation function having at least a fourth order. The method includes down-sampling the second signal to generate an output audio signal having an output frequency. The method further includes updating a time index based on an integer operation that is immune to quantization error for a finite-word length implementation.