جهت‌یابی منابع همبسته آکوستیکی با آرایه خطی تودرتو بر مبنای حل اسپارس

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشگاه جامع امام حسین(ع)

2 دانشیار، دانشگاه جامع امام حسین(ع)

3 استاد، دانشگاه شیراز

4 استادیار، دانشگاه تهران

چکیده

جهت‌یابی منابع آکوستیکی در بسیار از کاربردهای صنعتی و نظامی از اهمیت ویژه­ای برخوردار است. الگوریتم‌های زیادی تاکنون برای حل این مساله پیشنهاد شده­اند اما شرایط گوناگون و پیچیده‌ای که محیط واقعی به فرضیات مساله اعمال می­نماید باعث شده که همچنان در برخی شرایط، راه حلی برای جهت‌یابی منابع آکوستیکی به‌صورت پایدار و بادقت دلخواه وجود نداشته باشد یکی از این موارد، یافتن جهت منابع آکوستیکی، در محیط های پرانعکاس مانند آب‌های کم عمق دریا است. در این شرایط منابع مجازی زیادی به‌وجود می­آیندکه در واقع کپی منابع مستقل بوده و قابل شناسایی و حذف نیستند. زمانی که تعداد این انعکاس‌ها از تعداد حسگرهای آرایه بیشتر شود، فرضیات روش‌های مرسوم جهت­یابی، اقناع نشده و قابل به‌کارگیری نمی­باشند. در این شرایط با مساله­ تعداد منابع، بیشتر از تعداد حسگرها (فرومعین)، روبرو هستیم. یک ایده مهم برای مقابله با این تاثیر چند مسیرگی، افزایش درجه آزادی آرایه سوناری است که می‌تواند بر مبنای آرایه‌های اسپارس حل شود. در واقع با به‌کارگیری آرایه MRA تعداد حسگرهای آرایه واقعی، به‌طور مجازی افزایش یافت به‌طوری‌که مساله به شرایط عادی (فرامعین) برگردد در این ایده ماتریس منیفولد آرایه طوری اصلاح گردید که متناسب با آرایه‌های غیریکنواخت اسپارس باشد. شبیه‌سازی­ها به‌خوبی عملکرد الگوریتم را در حضور منابع همبسته، قابلیت‌های تفکیک زاویه‌ای و میزان خطای کمتر را تایید می‌نماید به‌طوری‌که با 6 حسگر واقعی در آرایه، الگوریتم توانست 12 منبع اعم از همبسته و مستقل را جهت‌یابی کند در عین حال روش ارائه‌شده از روش‌های مقایسه شده بهتر بوده و بسیار به حد CRLB نزدیک می‌شود.

کلیدواژه‌ها


عنوان مقاله [English]

Coherent Acoustic source DOA estimation by nested array based on sparse solution

نویسندگان [English]

  • A. Asadzadeh 1
  • S. M. Alavi 2
  • M. Karimi 3
  • H. Amiri 4
1 Emam hosien university
2 Associate Professor, Department of Information and Communication Technology, IHCU, Tehran, Iran
3 استاد، دانشگاه شیراز
4 Tehran university
چکیده [English]

Direction finding of acoustic sources has special importance in military and industrial applications. Lots of algorithms are proposed for solving this problem but, as the complicated conditions of environment enter the problem, a common method with arbitrary precision does not exist for all situations. One of these cases is finding the direction of acoustic sources in multi reflection media such as shallow waters. In this case, many virtual sources are born which are copies of independent sources and are neither detectable nor removable. When the number of these reflections are more than the number of array sensors, the assumptions of customary direction-finding methods are not satisfied and therefore these methods are no longer applicable. In this case, we are facing a problem that the number of signal sources are more than the number of sensors. An important idea for handling this multipath phenomenon, is to increase the degree of freedom of the sonar array which can be solved based on the sparse arrays. Actually, employing the MRA array, will increase the number of real array sensors virtually so that the problem will return to the ordinary conditions. In this idea, the array manifold matrix is modified to be proportional to the sparse non-uniform array. Simulations confirm the function of the proposed algorithm in the presence of correlated sources that have low error and high angular resolution so that, by 6 real array sensors, this algorithm could find the direction of 12 sources whether independent or correlated. This algorithm is very close to CRLB limit and is better than all compared methods.

کلیدواژه‌ها [English]

  • Sparse
  • Direction finding
  • Coherent sources
  • Multipath phenomena
  • Underdetermined
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