طراحی کد رادار جهت بهینه سازی آشکارسازی، تحت قید خودبستگی سفید شده

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکترا، گروه مخابرات، دانشکده برق، دانشگاه خواجه نصیرالدین طوسی، تهران، ایران

2 دانشیار، گروه مخابرات، دانشکده مهندسی برق، دانشگاه صنعتی خواجه نصیرالدین طوسی، تهران، ایران

چکیده

شکل موج ارسالی رادار، یکی از فاکتورهای تاثیرگذار در عملکرد آشکارسازی اهداف است که در توسعه رادارهای شناختگر بسیار مهم می‌باشد. در این مقاله، روش ارسال تطبیقی مورد بررسی قرار می گیرد که به طور خاص به طراحی تطبیقی شکل موج ارسالی رادار جهت بیشینه کردن سیگنال به تداخل (و به تبع آن آشکارسازی) می پردازد. شکل موج ارسالی در کلاس کدهای خطی بین پالسی فرض شده و عملکرد آن در حضور تداخل رنگی گوسی مورد بررسی قرار می‌گیرد. مقالات متعددی به طراحی این دسته از کدها پرداخته اند. لیکن نکته ای که در همه این مقالات مغفول مانده است این است که قید شباهت تابع همبستگی بایستی بعد از فیلتر سفیدکننده گیرنده نوشته شود تا سیگنال سفیدشده با تابع همبستگی مناسب به فیلتر منطبق وارد شود. در این مقاله، ضمن معرفی قید خودبستگی سفیدشده، الگوریتمی برای حل مساله طراحی شکل موج حاصل پیشنهاد شده است. روش فوق، روش جریمه تدریجی نامگذاری شده است ونشان داده شده است که دارای پیچیدگی محاسباتی چندجمله ای است. سپس همگرایی الگوریتم ارائه شده اثبات شده و در نهایت با شبیه سازی، عملکرد بهتر کد طراحی شده با روش پیشنهادی نسبت به کدهای طراحی شده با روشهای موجود نشان داده شده است.

کلیدواژه‌ها


عنوان مقاله [English]

Radar Code Design Framework with Whitened Autocorrelation Constraint

نویسندگان [English]

  • pirouz Majdoleshrafi 1
  • mehrdad ardebilipour 2
1
2 Communications Group, Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran
چکیده [English]

Transmitted signal waveform is among the most interesting factors affecting the radar system performance which is important to the development of cognitive radars. In this paper, the problem of adaptive waveform design is studied which specially addresses the waveforms that maximize the signal-to-disturbance ratio that finally leads to an increased probability of detection. The coded waveform is analysed in the class of linear inter-pulse coding and studied in the presence of coloured Gaussian disturbance. For this end, a new framework is introduced that leads to the design of an adaptive radar code in accordance with background distribution covariance matrix under a control on the region of available signal energy, achievable estimation accuracies and imposing a similarity constraint on the devised code periodic autocorrelation function. It is shown that the autocorrelation similarity constraint should be assessed after the whitening process in the optimum receiver. In more details, first waveform design is expressed as a non-convex quadratic optimization problem with a new autocorrelation (ACF) constraint in the whitened domain and then the optimization problem is solved by an innovative iterative algorithm named as GPP (Gradually Penalizing programming) with polynomial computational complexity. It is shown that the convergence of the algorithm is guaranteed and despite considering the suitability constraints of the ACF, improved detection performance can be achieved compared to other code synthesis methods.

کلیدواژه‌ها [English]

  • Radar Waveform Design
  • Cognitive Radar
  • Whitened Autocorrelation similarity constraint
  • Convex Optimization
  • Gradually Penalizing Programming

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