A method of signal processing to generate hearing implant stimulation signals Z for a hearing implant system, the hearing implant system comprising a plurality of electrode channels, each electrode channel associated with an electrode, the method comprising: transforming an input sound signal y [ n] characterized as an additive mixture of an information bearing target signal s [ n] and a non-information bearing noise signal d [ n] into a plurality of band pass signals y k [ n] each representing an associated frequency band of audio frequencies and associated with an electrode channel; processing the band pass signals y k [ n] in a sequence of sampling time frames n and iterative steps i = 1,..., I to produce a noise power estimate P̂ d [n, k, I], wherein for each time frame n and iteration i, the processing includes: i. using a noise prediction model P̃ d [ n, k, i] to determine if a currently observed signal sample P y [ n, k] includes the target signal s [ n], ii. if the currently observed signal sample P y [ n, k] includes the target signal s [ n], then updating a current noise power estimate P̂ d [ n, k, i] without using the currently observed signal sample P y [ n, k], and otherwise iii. if the currently observed signal sample P y [ n, k] does not include the target signal s [ n], then updating a current noise power estimate P̂ d [n, k, i] using the currently observed signal sample P y [ n, k], wherein processing the band pass signals y k [ n] further comprises adapting the noise prediction model P̂ d [n, k, i] based on the updated noise power estimate P̂ d [ n, k, i]; and developing the hearing implant stimulation signals Z from the band pass signals y k [ n] and the noise power estimate P̂ d [ n, k, I], wherein developing further comprises continuous interleaved sampling, Fine Structure Processing, channel specific sampling sequences (CSSS), spectral peak (SPEAK), and/or compressed analog processing. transforming an input sound signal y [ n] characterized as an additive mixture of an information bearing target signal s [ n] and a non-information bearing noise signal d [ n] into a plurality of band pass signals y k [ n] each representing an associated frequency band of audio frequencies and associated with an electrode channel; processing the band pass signals y k [ n] in a sequence of sampling time frames n and iterative steps i = 1,..., I to produce a noise power estimate P̂ d [n, k, I], wherein for each time frame n and iteration i, the processing includes: i. using a noise prediction model P̃ d [ n, k, i] to determine if a currently observed signal sample P y [ n, k] includes the target signal s [ n], ii. if the currently observed signal sample P y [ n, k] includes the target signal s [ n], then updating a current noise power estimate P̂ d [ n, k, i] without using the currently observed signal sample P y [ n, k], and otherwise iii. if the currently observed signal sample P y [ n, k] does not include the target signal s [ n], then updating a current noise power estimate P̂ d [n, k, i] using the currently observed signal sample P y [ n, k], wherein processing the band pass signals y k [ n] further comprises adapting the noise prediction model P̂ d [n, k, i] based on the updated noise power estimate P̂ d [ n, k, i]; and i. using a noise prediction model P̃ d [ n, k, i] to determine if a currently observed signal sample P y [ n, k] includes the target signal s [ n], ii. if the currently observed signal sample P y [ n, k] includes the target signal s [ n], then updating a current noise power estimate P̂ d [ n, k, i] without using the currently observed signal sample P y [ n, k], and otherwise iii. if the currently observed signal sample P y [ n, k] does not include the target signal s [ n], then updating a current noise power estimate P̂ d [n, k, i] using the currently observed signal sample P y [ n, k], wherein processing the band pass signals y k [ n] further comprises adapting the noise prediction model P̂ d [n, k, i] based on the updated noise power estimate P̂ d [ n, k, i]; and developing the hearing implant stimulation signals Z from the band pass signals y k [ n] and the noise power estimate P̂ d [ n, k, I], wherein developing further comprises continuous interleaved sampling, Fine Structure Processing, channel specific sampling sequences (CSSS), spectral peak (SPEAK), and/or compressed analog processing.