Band filter for filtering a discrete time series signal

A band filter (100, 200) for filtering a discrete time series signal (110, 210), the band filter (100, 200) comprising:

• 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 high-pass higher order polynomial regression based zero frequency centered band filter (130, 230) communicatively coupled to the input frequency shifter (120, 220), the high-pass higher order polynomial regression based zero frequency centered band filter (130, 230) being configured to:
• operate on an entire length of the frequency down shifted discrete time series signal (120a, 220a);
• and
• 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 high-pass higher order polynomial 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).