Nonuniform Spectral Resampling, Cont'd

Thus, resampling = inner product of samples with some continuous ``interpolation kernel'':

• Time domain: interpolation kernel = sinc
• Frequency domain: interpolation kernel = asinc

The interpolation kernel may be horizonally scaled to alter bandwidth, or more generally reshaped to introduce more general windowing in the opposite domain:

• Width of interpolation kernel (main lobe width) $\leftrightarrow$ 1/width-in-other-domain

• Shape of interpolation kernel $\leftrightarrow$ gain profile (window) in other domain

An auditory-filter frequency-response can be regarded as a frequency-dependent interpolation kernel for nonuniformly resampling the STFT frequency axis.