Strong Impossibility Results for Sparse Signal Processing

    Authors

    V. Y. F. Tan;G. K. Atia

    Comments

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    Abbreviated Journal Title

    IEEE Signal Process. Lett.

    Keywords

    Blowing-up lemma; noisy group testing; sparse signal processing; strong; converse; support set; BOUNDS; Engineering, Electrical & Electronic

    Abstract

    This letter derives strong impossibility results for several sparse signal processing problems. It is shown that regardless of the allowed error probability in identifying the salient support set (as long as this probability is below one), the required number of measurements is almost the same as that required for the error probability to be arbitrarily small. Our proof technique involves the use of the blowing-up lemma and can be applied to diverse problems from noisy group testing to graphical model selection as long as the observations are discrete.

    Journal Title

    Ieee Signal Processing Letters

    Volume

    21

    Issue/Number

    3

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    260

    Last Page

    264

    WOS Identifier

    WOS:000330294300002

    ISSN

    1070-9908

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