{"id":183,"date":"2016-05-10T19:51:30","date_gmt":"2016-05-10T18:51:30","guid":{"rendered":"http:\/\/spagnolini.faculty.polimi.it\/?page_id=183"},"modified":"2016-05-10T19:51:30","modified_gmt":"2016-05-10T18:51:30","slug":"statistical-signal-processing-in-engineering","status":"publish","type":"page","link":"https:\/\/spagnolini.faculty.polimi.it\/?page_id=183","title":{"rendered":"Statistical signal processing in engineering"},"content":{"rendered":"<p><\/p>\n<p style=\"text-align: justify;\">The course focuses on <b>statistical digital signal processing <\/b>that makes an <i>engineering usage of the estimation theory<\/i><b> (=use of the statistics for solving engineering problems)<\/b><\/p>\n<p style=\"text-align: justify;\">Statistical signal processing is the core of many electronic signal processing systems that are designed to extract some information from some observations or measurements or <i>data<\/i>.<\/p>\n<p style=\"text-align: justify;\">In many situations these observations are multi-dimensional (e.g., images) and thus require 2D or multidimensional signal processing.<\/p>\n<p style=\"text-align: justify;\">Examples from engineering systems:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><b>Location systems <\/b>(radar, satellite GPS, sonar, video, audio): evaluation of the position of a target from observations collected by a set of sensors (radio transceivers, hydro-phones, cameras, micro-phones). Observations are typically measurements of distances (range) or angles (bearing) of the target location w.r.t. some reference points.<\/li>\n<li style=\"text-align: justify;\"><b>Communication systems<\/b>: evaluation of the transmitted information &#8211; usually bits &#8211; from the received signals; this requires at first the estimation of some parameters that characterize the radio signal, such as the channel impulse response, the carrier frequency\/phase.<\/li>\n<li style=\"text-align: justify;\"><b>Remote sensing<\/b>: estimation of the the environment using the acoustic or electromagnetic waves such as in ultrasound (e.g., medical ultrasound), sonar (e.g., underwater and seafloor imaging) and (airborne or satellite) radar imaging.<\/li>\n<li style=\"text-align: justify;\"><strong>Seismic exploration<\/strong>: estimation of underground structure of the earth from data collected by sensors deployed over the surface (e.g., surface excitation emitting elastic waves and geophones measuring backscattered echos);<\/li>\n<li style=\"text-align: justify;\"><strong>Tomography<\/strong>: reconstruction of some physical properties (e.g., attenuation profile) inside an object from measurements gathered outside (e.g., computer assisted tomography or magnetic resonance).<\/li>\n<li style=\"text-align: justify;\"><b>Speech recognition<\/b>: recognition of a speech by a smart-phone (e.g., recognition of individual speech sounds \u2013 phonemes, vowels, consonants, etc. &#8211; by comparison to pre-registered speech sounds).<\/li>\n<li style=\"text-align: justify;\"><b>Distributed system and social networks<\/b>: consensus based on local observations, political parties, collective behaviors and synchronization (fireflies or flocks), marketing<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify; padding-left: 60px;\">\u2026more\u2026more\u2026<\/p>\n<p style=\"text-align: justify;\">In all these examples the problem to be solved is the estimation of a set of unknown parameters <b>q<\/b> (target location, transmitted data, channel response, carrier parameters, underground layered Earth structure, image of the object inside structure, phonemas, etc.) from a set of observations <b>x<\/b> (radio signals, elastic waves, audio\/video signals, \u2026).<\/p>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>The course focuses on statistical digital signal processing that makes an engineering usage of the estimation theory (=use of the statistics for solving engineering problems) Statistical signal processing is the core of many electronic signal processing systems that are designed &hellip; <a href=\"https:\/\/spagnolini.faculty.polimi.it\/?page_id=183\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":181,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-183","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/pages\/183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=183"}],"version-history":[{"count":1,"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/pages\/183\/revisions"}],"predecessor-version":[{"id":184,"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/pages\/183\/revisions\/184"}],"up":[{"embeddable":true,"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=\/wp\/v2\/pages\/181"}],"wp:attachment":[{"href":"https:\/\/spagnolini.faculty.polimi.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}