Abstract
It was shown by P.P. Vaidyanathan (1993) that in the case of orthonormal and biorthonormal filter banks one can convolve two signals x(n) and g(n) by directly convolving the subband signals and combining the results. In the present work, this result is further generalized. The coding gain for a biorthonormal convolver is also derived. As an application, a novel low-sensitivity FIR (finite impulse response) filter structure is derived from the convolution theorem. This FIR filter structure is shown to be attractive when the filter coefficients are quantized to low bit rate. For a fixed word length implementation, the deterministic coding gain over direct convolution for the cases of quantizing the input signal and filter coefficients is considered.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.