A band filter (100, 200) for filtering a discrete time series signal (110) is provided. The band filter (100, 200) includes an input frequency shifter (120, 220) configured to frequency down shift the discrete time series signal (110, 210) to provide a frequency down shifted discrete time series signal (120a, 220a), a regression based zero frequency centered band filter (130, 230) communicatively coupled to the input frequency shifter (120, 220), the regression based zero frequency centered band filter (130. 230) being configured to filter the frequency down shifted discrete time series signal (120a, 220a) to provide a filtered and frequency down shifted discrete time series signal (130a, 230a), and an output frequency shifter (140, 240) communicatively coupled to the regression based zero frequency centered band filter (130, 230), the output frequency shifter (140, 240) being configured to frequency up shift the filtered and frequency down shifted discrete time series signal (130a, 230a).