{"id":261139,"date":"2026-07-13T18:09:27","date_gmt":"2026-07-13T15:09:27","guid":{"rendered":"https:\/\/1kitap1.com\/en\/fundamentals-of-communication-theory-unnikrishna-pillai\/"},"modified":"2026-07-13T18:09:27","modified_gmt":"2026-07-13T15:09:27","slug":"fundamentals-of-communication-theory-unnikrishna-pillai","status":"publish","type":"post","link":"https:\/\/1kitap1.com\/en\/fundamentals-of-communication-theory-unnikrishna-pillai\/","title":{"rendered":"Fundamentals Of Communication Theory &#8211; Unnikrishna Pillai"},"content":{"rendered":"<figure style=\"text-align:center;margin:0 auto 1.5em;\"><img decoding=\"async\" src=\"https:\/\/1kitap1.com\/en\/wp-content\/uploads\/2026\/07\/9fc50324f8311cbe.jpg\" alt=\" - Unknown book cover\" style=\"max-width:300px;width:100%;height:auto;box-shadow:0 4px 12px rgba(0,0,0,.25);border-radius:4px;\"\/><\/figure>\n<blockquote>\n<p>\u00a9 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2026 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.<\/p>\n<p>The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication.<\/p>\n<p>Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland OceanofPDF.com OceanofPDF.com Contents 1 Fourier Series 2 Fourier Transforms 3 Amplitude Modulation 4 Angle Modulation 5 Digital Modulation Techniques OceanofPDF.com (1) (2) \u00a9 The Author(s), under exclusive license to Springer Nature Switzerland AG 2026 U.<\/p>\n<p>Pillai, A. Patel, Fundamentals of Communication Theory https:\/\/doi.org\/10.1007\/978-3-032-20615-2_1 1. Fourier Series Unnikrishna Pillai1 and Anuj Patel2 Department of Electrical and Computer Engineering, New York University, New York, NY, USA Brooklyn, NY, USA Unnikrishna Pillai (Corresponding author) Email: pillai@nyu.edu Anuj Patel Email: anujpatel@nyu.edu Abstract This chapter provides the mathematical framework necessary for analyzing periodic signals in both time and frequency domains.<\/p>\n<p>It begins with the foundational concepts that start with the Fourier Series representation of periodic signals. The focus here is on the representation of periodic signals using Fourier coefficients and the underlying principles such as Fourier\u2019s Theorem, Parseval\u2019s Theorem, and the Fourier Series expansion of real periodic signals. Along with theoretical development, key concepts with examples are illustrated, highlighting the importance of Gibb\u2019s Phenomenon and real-world applications such as vibrato in music and Kepler\u2019s equation.<\/p>\n<p>OceanofPDF.com (1) (2) \u00a9 The Author(s), under exclusive license to Springer Nature Switzerland AG 2026 U. Pillai, A.<\/p>\n<\/blockquote>\n<p><em>This is a short excerpt from the opening of &ldquo;&rdquo; by Unknown, quoted for review and introduction purposes. All rights belong to the copyright holders.<\/em><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/1kitap1.com\/en\/fundamentals-of-communication-theory-unnikrishna-pillai\/#Book_Information\" >Book Information<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/1kitap1.com\/en\/fundamentals-of-communication-theory-unnikrishna-pillai\/#Reading_Word_Statistics\" >Reading &amp; Word Statistics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/1kitap1.com\/en\/fundamentals-of-communication-theory-unnikrishna-pillai\/#Most_Frequent_Words\" >Most Frequent Words<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Book_Information\"><\/span>Book Information<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><strong>Unique ID:<\/strong> 9fc50324f8311cbe<\/li>\n<li><strong>File Extension:<\/strong> .pdf<\/li>\n<li><strong>File Size:<\/strong> 118,914,124 bytes (113.405 MB)<\/li>\n<li><strong>Title:<\/strong> &#8211;<\/li>\n<li><strong>Author:<\/strong> Unknown<\/li>\n<li><strong>ISBN:<\/strong> 9783032206145, 9783032206152<\/li>\n<li><strong>Pages:<\/strong> 337<\/li>\n<li><strong>Language:<\/strong> English (en)<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Reading_Word_Statistics\"><\/span>Reading &amp; Word Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><strong>Estimated Reading Time:<\/strong> 6.25 minutes<\/li>\n<li><strong>Total Words:<\/strong> 1,251<\/li>\n<li><strong>Total Characters:<\/strong> 9,608<\/li>\n<li><strong>Average Words per Page:<\/strong> 3.71<\/li>\n<li><strong>Average Characters per Page:<\/strong> 28.51<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Most_Frequent_Words\"><\/span>Most Frequent Words<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>modulation (24), pillai (22), patel (17), unnikrishna (12), anuj (12), new (12), york (12), usa (12), communication (11), author (11), signals (11), com (10), fourier (10), email (10), nyu (10), edu (10), theory (9), oceanofpdf (9), springer (8), switzerland (8), https (7), computer (7), nature (7), chapter (7), frequency (7), fundamentals (6), digital (6), department (6), electrical (6), engineering (6), university (6), brooklyn (6), doi (6), org (6), exclusive (6), license (6), techniques (6), corresponding (6), series (5), anujpatel (5), abstract (5), periodic (5), theorem (5), systems (5), noise (5), publisher (4), transforms (4), amplitude (4), concepts (4), introduced (4), analysis (4), sideband (4), transmission (3), information (3), names (3), registered (3), angle (3), analyzing (3), begins (3), representation (3), principles (3), building (3), signal (3), practical (3), case (3), covering (3), pcm (3), probability (3), error (3), kitap (2), free (2), books (2), development (2), now (2), rights (2), material (2), use (2), general (2), publication (2), authors (2), editors (2), made (2), published (2), company (2), provides (2), framework (2), domains (2), using (2), parseval\u2019s (2), real (2), key (2), examples (2), highlighting (2), real-world (2), applications (2), equation (2), upon (2), properties (2), bessel\u2019s (2), analyzed (2).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a9 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2026 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":261138,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-261139","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-english"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/posts\/261139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/comments?post=261139"}],"version-history":[{"count":0,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/posts\/261139\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/media\/261138"}],"wp:attachment":[{"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/media?parent=261139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/categories?post=261139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/1kitap1.com\/en\/wp-json\/wp\/v2\/tags?post=261139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}