{"id":152753,"date":"2004-08-01T00:00:00","date_gmt":"2004-08-01T00:00:00","guid":{"rendered":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/msr-research-item\/bounding-the-power-rate-function-of-wireless-ad-hoc-networks\/"},"modified":"2018-10-16T20:14:02","modified_gmt":"2018-10-17T03:14:02","slug":"bounding-the-power-rate-function-of-wireless-ad-hoc-networks","status":"publish","type":"msr-research-item","link":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/publication\/bounding-the-power-rate-function-of-wireless-ad-hoc-networks\/","title":{"rendered":"Bounding the Power Rate Function of Wireless Ad hoc Networks"},"content":{"rendered":"<div class=\"asset-content\">\n<p>Given a wireless ad hoc network and an end-to-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput under a simplified layered model of wireless networks. A critical notion of the layered model is the supported (realizable) capacity graphs, which describe possible bit-rate provisions on the links by the physical and link layers. Under the layered model, the problem of finding the power rate function can be transformed into finding the minimum-power supported capacity graph that can provide a given throughput. We introduce a usage conflict graph to represent the conflicts among different uses of the wireless medium. Testing the realizability of a given capacity graph can be transformed into finding the (vertex) chromatic number, i.e., the minimum number of colors required in a proper vertex-coloring, of the associated usage conflict graph. Based on an upper bound of the chromatic number, we propose a linear program that outputs an upper bound of the power rate function. A lower bound of the chromatic number is the clique number. We propose a systematic way of identifying cliques based on a geometric analysis of the space sharing among active links. This leads to another linear program, which yields a lower bound of the power rate function. We further apply greedy vertex-coloring to fine tune the bounds. Simulations results demonstrate that the obtained bounds are tight in the low power and low rate regime.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given a wireless ad hoc network and an end-to-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput under a simplified layered model of wireless networks. A critical notion of the layered model is the supported (realizable) capacity graphs, which describe possible bit-rate provisions on the links [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"MSR-TR-2004-77","msr_organization":"","msr_pages_string":"","msr_page_range_start":"","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"Qian Zhang, S. Y. 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