Cyclostationary signals in multirate linear systems

Dhuli, Ravindra; Lall, Brejesh

doi:10.1109/ncc.2010.5430197

Cited by 3 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2, where reconstruction happens at a low rate to reduce computational cost. The output of the synthesis filter is then unblocked [71] to get the final high resolution signal. We model our problem of designing the matrix synthesis filter bank in the framework of Wiener filtering.…”

Section: Design Frameworkmentioning

confidence: 99%

“…We choose the synthesis filter to be FIR and causal, and formulate a Wiener filtering problem for a given length of the synthesis filter. The desired signal for the problem is derived from the input signal u(n) by adding a given delay d and then performing blocking operation [71]. The delay is added to compensate the time lag that appears in the input signal when it passes through the filter bank.…”

Section: Design Frameworkmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Signals via Non-Maximally Decimated Non-Uniform Filter Banks

Patel

Dhuli

Lall

2019

IEEE Trans. Circuits Syst. I

Self Cite

View full text Add to dashboard Cite

This paper addresses the important problem of reconstructing a signal from multiple multirate observations. The observations are modeled as the output of an analysis bank, and time-domain analysis is carried out to design an optimal FIR synthesis bank. We pose this as a minimizing the mean-square problem and prove that at least one optimal solution is always possible. A parametric form for all optimal solutions is obtained for a non-maximally decimated filter bank. The necessary and sufficient conditions for an optimal solution, that results in perfect reconstruction (PR), are derived as time-domain pseudocirculant conditions. This represents a novel theoretical contribution in multirate filter bank theory. We explore PR in a more general setting. This results in the ability to design a synthesis bank with a particular delay in the reconstruction. Using this delay, one can achieve PR in cases where it might not have been possible otherwise. Further, we extend the design and analysis to nonuniform filter banks and carry out simulations to verify the derived results.

show abstract

Section: Design Frameworkmentioning

confidence: 99%

Section: Design Frameworkmentioning

confidence: 99%