1. A method for designing a time dependent function k m (t) for a given k-space trajectory k m , where m stands for one or multiple spatial dimension indices x, y, or z, of a magnetic resonance imaging=MRI experiment carried out on an MRI system, the method comprising the steps of: a) determining a gradient magnitude limit G; b) determining a gradient slew rate limit S; c) determining a frequency limit F, the frequency limit being characteristic for gradient hardware of the MRI system and denoting a maximum frequency that can reliably be produced by the gradient hardware; and d) generating the trajectory k m by applying a time varying waveform g m (t) of a gradient magnetic field while obeying the gradient magnitude limit, the gradient slew rate limit, and the gradient hardware frequency limit, wherein no instantaneous frequency of the gradient waveform g m (t) transgresses the frequency limit F.