{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-28T08:26:52-04:00", "answer_date": "2024-06-28 08:26:52", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4274509", "url": "\/study-help\/questions\/estimation-of-gaussian-vector-consider-an-ndimensional-signal-x-modeled-4274509", "question_creation_date_js": "2024-06-28T08:26:52-04:00", "question_creation_date": "Jun 28, 2024 08:26 AM", "meta_title": "[Solved] Estimation of Gaussian Vector Consider an | SolutionInn", "meta_description": "Answer of - Estimation of Gaussian Vector Consider an n-dimensional signal X modeled as a jointly Gaussian vector with zero mean a | SolutionInn", "meta_keywords": "estimation,gaussian,vector,n-dimensional,signal,x,modeled,jointly,zero,covariance,matrix,y", "question_title_h1": "Estimation of Gaussian Vector Consider an n-dimensional signal X modeled as a jointly Gaussian vector with zero mean and covariance matrix X. Let Y denote", "question_title": "Estimation of Gaussian Vector Consider an n-dimensional signal X modeled as a", "question_title_for_js_snippet": "Estimation of Gaussian Vector Consider an n dimensional signal X modeled as a jointly Gaussian vector with zero mean and covariance matrix X Let Y denote the observation which is an n dimensional vector and is related to X as Y HX N, where H is a known deterministic matrix of size n m, and N is the noise vector which is modeled as jointly Gaussian with zero mean and covariance matrix N H can be thought of as the transfer function of the noisy medium that takes X and produces Y It is assumed that X and N are independent Find the MMSE estimate of X from Y ", "question_description": "

Estimation of Gaussian Vector Consider an n-dimensional signal X modeled as a jointly Gaussian vector with zero mean and covariance matrix X. Let Y denote the observation which is an n-dimensional vector and is related to X as Y = HX + N, where H is a known deterministic matrix of size n m, and N is the noise vector which is modeled as jointly Gaussian with zero mean and covariance matrix N . H can be thought of as the transfer function of the noisy medium that takes X and produces Y. It is assumed that X and N are independent. Find the MMSE estimate of X from Y.<\/p>", "transcribed_text": "", "related_book": { "title": "Data Analysis And Decision Making", "isbn": "538476125, 978-0538476126", "edition": "4th Edition", "authors": "Christian Albright, Wayne Winston, Christopher Zappe", "cover_image": "https:\/\/dsd5zvtm8ll6.cloudfront.net\/si.question.images\/book_images\/415.jpg", "uri": "\/textbooks\/data-analysis-and-decision-making-4th-edition-415", "see_more_uri": "" }, "free_related_book": { "isbn": "3540921362", "uri": "\/textbooks\/advances-in-computation-and-intelligence-third-international-symposium-on-intelligence-computation-and-applications-isica-2008-wuhan-china-2008th-edition-978-3540921363-298122", "name": "Advances In Computation And Intelligence Third International Symposium On Intelligence Computation And Applications Isica 2008 Wuhan China", "edition": "2008th Edition" }, "question_posted": "2024-06-28 08:26:52", "see_more_questions_link": "\/study-help\/questions\/sciences-biology-2023-February-20", "step_by_step_answer": "The Answer is in the image, click to view ...", "students_also_viewed": [ { "url": "\/what-are-the-two-purposes-of-preparing-closing-entries", "description": "What are the two purposes of preparing closing entries?", "stars": 3.5 }, { "url": "\/study-help\/business-statistics-in-practice\/c-what-is-the-response-1982252", "description": "=+c) What is the response?", "stars": 3.5 }, { "url": "\/treasury-bills-have-a-fixed-face-value-say-1000-and", "description": "Treasury bills have a fixed face value (say, $1,000) and pay interest by selling at a discount. 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