Apparatus and methods for quick acute and chronic pain suppression, particularly useful and effective towards high-grade pains and/or pains resistant to other analgesic drugs such as opiates. One apparatus and method generate synthetic “non-pain” information strings of great clinical effectiveness, allowing high reproducibility of the clinical result. Synthesis of the strings occurs by combining novel geometries of complex waveforms in a sequence, perceived as “self” and “non-pain” by the CNS.