Sliding DFT windowing techniques for monotonically decreasing spectral leakage

A system for digital signal processing, the system comprising:

• a communication module configured to receive an input signal, the input signal including a number of discrete samples taken at regular intervals of time;
• a comb filter configured to filter the input signal according to a sliding DFT technique to generate a first filtered signal using a filter coefficient and to generate a second filtered signal using a different filter coefficient;
• a first plurality of resonators configured to process the first filtered signal according to the sliding DFT technique to generate a first SDFT output signal;
• a second plurality of resonators configured to process the second filtered signal according to the sliding DFT technique to generate a second SDFT output signal;
• and
• at least one summer configured to sum the first SDFT output signal and the second SDFT output signal to generate a resulting output signal.

A non-transitory processor-readable medium having embodied thereon a program being executable by at least one processor to perform a method for digital signal processing, the method comprising:

• receiving an input signal, the input signal including a number of discrete samples taken at regular intervals in time;
• filtering the input signal according to a sliding DFT technique using a first filter coefficient to generate a first filtered signal;
• filtering the input signal according to the sliding DFT technique using a different filter coefficient to generate a second filtered signal;
• applying the first filtered signal to a first plurality of resonators according to the sliding DFT technique to generate a first SDFT output signal;
• applying the second filtered signal to a second plurality of resonators according to the sliding DFT technique to generate a second SDFT output signal;
• and
• summing the first SDFT output signal and the second SDFT output signal to generate a resulting output signal.