{"id":42988,"date":"2024-04-15T21:23:03","date_gmt":"2024-04-15T21:23:03","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=42988"},"modified":"2024-04-15T21:23:03","modified_gmt":"2024-04-15T21:23:03","slug":"consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is\/","title":{"rendered":"Consider the sequence x[n] = {-4 &#8211; j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;{-4 &#8211; j2.5, j2, 4 &#8211; j2.5}&#8221; option2=&#8221;{-j2.5, 1, j2.5}&#8221; option3=&#8221;{-j5, j2, 0}&#8221; option4=&#8221;{-4, 1, 4}&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is A.<\/p>\n<p>The conjugate antisymmetric part of a sequence is defined as follows:<\/p>\n<p>$$x_{an} = \\overline{x_{-n}}$$<\/p>\n<p>where $\\overline{x}$ denotes the complex conjugate of $x$.<\/p>\n<p>In this case, we have:<\/p>\n<p>$$x[n] = {-4 &#8211; j5, 1 + j2, 4}$$<\/p>\n<p>Therefore, the conjugate antisymmetric part of the sequence is:<\/p>\n<p>$$x_{an} = \\overline{x_{-n}} = {-4 + j5, 1 &#8211; j2, 4}$$<\/p>\n<p>which can be simplified to:<\/p>\n<p>$$x_{an} = {-4 &#8211; j2.5, j2, 4 &#8211; j2.5}$$<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: This is the correct answer. It is the conjugate antisymmetric part of the sequence, as defined above.<\/li>\n<li>Option B: This is not the correct answer. It is the conjugate symmetric part of the sequence, which is defined as follows:<\/li>\n<\/ul>\n<p>$$x_{an} = \\overline{x_{n}}$$<\/p>\n<ul>\n<li>Option C: This is not the correct answer. It is the real part of the sequence.<\/li>\n<li>Option D: This is not the correct answer. It is the imaginary part of the sequence.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;{-4 &#8211; j2.5, j2, 4 &#8211; j2.5}&#8221; option2=&#8221;{-j2.5, 1, j2.5}&#8221; option3=&#8221;{-j5, j2, 0}&#8221; option4=&#8221;{-4, 1, 4}&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-42988","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Consider the sequence x[n] = {-4 - j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the sequence x[n] = {-4 - j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;{-4 &#8211; j2.5, j2, 4 &#8211; j2.5}&#8221; option2=&#8221;{-j2.5, 1, j2.5}&#8221; option3=&#8221;{-j5, j2, 0}&#8221; option4=&#8221;{-4, 1, 4}&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:23:03+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider the sequence x[n] = {-4 - j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is\/","og_locale":"en_US","og_type":"article","og_title":"Consider the sequence x[n] = {-4 - j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is","og_description":"[amp_mcq option1=&#8221;{-4 &#8211; 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