摘要 |
<p>Embodiments are directed to efficient frequency-domain implementations of time-varying FIR filters. More specifically, time-varying FIR filters according to embodiments exploit the duality of the fast Fourier transform that windowing in the time domain equals convolution in the frequency domain. In one embodiment, convolution of the output of the FIR filter and a desired windowing function is performed in the frequency domain instead of taking the output of the FIR filter in the frequency domain, converting this output the time domain via an IFFT, and then windowing this output in the time domain before again converting back to the frequency domain. As long as the windowing function has certain characteristics, then the time-varying FIR filter is computationally efficient and introduces minimal audible artifacts into the output of the filter. Concepts described herein are discussed in terms of audio signals and systems but are not limited to audio signals and systems.</p> |