A method comprising: receiving an input signal captured by one or more sensors associated with an active noise reduction, ANR, device such as headphones, the one or more sensors comprising a feedforward microphone of the ANR device; processing the input signal using a first filter disposed in an ANR signal flow path to generate a first signal for an acoustic transducer of the ANR device; processing the input signal in a pass-through signal flow path disposed in parallel with the ANR signal flow path to generate a second signal for the acoustic transducer, wherein the pass-through signal flow path is configured to allow at least a portion of the input signal to pass through to the acoustic transducer in accordance with a variable gain associated with the pass-through signal flow path; generating an output signal for the acoustic transducer based on combining the first signal with the second signal; characterized in that the first filter comprises a filter bank that includes a plurality of selectable digital filters, each digital filter in the filter bank corresponding to a value of the variable gain associated with the pass-through signal flow path; a digital filter of the plurality of selectable digital filters is selected or computed in real time based on the value of the variable gain associated with the pass-through signal flow path, and the digital filter is selected such that any interference between resulting phase responses of the ANR signal flow path and the pass-through signal flow path do not degrade spectral characteristics of a magnitude response beyond a target tolerance limit. receiving an input signal captured by one or more sensors associated with an active noise reduction, ANR, device such as headphones, the one or more sensors comprising a feedforward microphone of the ANR device; processing the input signal using a first filter disposed in an ANR signal flow path to generate a first signal for an acoustic transducer of the ANR device; processing the input signal in a pass-through signal flow path disposed in parallel with the ANR signal flow path to generate a second signal for the acoustic transducer, wherein the pass-through signal flow path is configured to allow at least a portion of the input signal to pass through to the acoustic transducer in accordance with a variable gain associated with the pass-through signal flow path; generating an output signal for the acoustic transducer based on combining the first signal with the second signal; characterized in that the first filter comprises a filter bank that includes a plurality of selectable digital filters, each digital filter in the filter bank corresponding to a value of the variable gain associated with the pass-through signal flow path; a digital filter of the plurality of selectable digital filters is selected or computed in real time based on the value of the variable gain associated with the pass-through signal flow path, and the digital filter is selected such that any interference between resulting phase responses of the ANR signal flow path and the pass-through signal flow path do not degrade spectral characteristics of a magnitude response beyond a target tolerance limit. characterized in that the first filter comprises a filter bank that includes a plurality of selectable digital filters, each digital filter in the filter bank corresponding to a value of the variable gain associated with the pass-through signal flow path; a digital filter of the plurality of selectable digital filters is selected or computed in real time based on the value of the variable gain associated with the pass-through signal flow path, and the digital filter is selected such that any interference between resulting phase responses of the ANR signal flow path and the pass-through signal flow path do not degrade spectral characteristics of a magnitude response beyond a target tolerance limit.