FIR perfect signal reconstruction from multiple con

G. Harikumar; Y. Bresler

doi:10.1109/78.651219

FIR perfect signal reconstruction from multiple con

Research output: Contribution to journal › Article › peer-review

Abstract

Given p co-prime finite impulse response (FIR) filters h_i ∈ R^mk, it well known that there exist q_i ∈ R^mi such that ∑_i h_i*q_i = δ. Importantly, this enables signal recovery from its con: utions with p > 2 co-prime FIR filters by FIR filtering. We show that such qj exist almost surely if and only if m_q > [(m_h - 1)/(p - 1)], where [x] is the smallest integer greater than or equal to x. The results also provide conditions for full rank of certain key matrices arising in the blind multichannel deconution problem.

Original language	English (US)
Pages (from-to)	215-218
Number of pages	4
Journal	IEEE Transactions on Signal Processing
Volume	46
Issue number	1
DOIs	https://doi.org/10.1109/78.651219
State	Published - 1998

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.651219

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author = "G. Harikumar and Y. Bresler",

note = "Funding Information: Manuscript received December 6, 1996; revised March 24, 1997. This work was supported in part by the National Science Foundation under Grant MIP 91-57377 and a Schlumberger-Doll research grant. The associate editor coordinating the review of this paper and approving it for publication was Dr. Akram Aldroubi.",

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FIR perfect signal reconstruction from multiple con

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