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Register a new userمحدد و معكوس و رتبة مصفوفة بطريقة تدريجية
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Aِl-Baath University ورقة بحثية
Publication date
2017
fields
Mathematical Statistics
and research's language is
العربية
Authors
منير محمد الشحف( باحث )
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هناك العديد من الطرق التقليدية لحساب كل من محدد مصفوفة مربعة و معكوس مصفوفة غير شاذة و رتبة أية مصفوفة . لكن تصبح جميعها شاقة و صعبة الحساب لمصفوفات عالية المرتبة و في معظم الحالات جميع البرمجيات تعطينا نتائج تقريبية بسبب عمليات التدوير في العمليات الحسابية العديدة اللازمة. الفكرة الأساسية في هذا العمل تتلخص في استنتاج محدد, و معكوس , و رتبة مصفوفة بطريقة تدريجية.
There are many known methods for finding each of: Determinate for square matrix, Inverse for irregular square matrix, and Rank for any matrix. but these methods become difficult to high- order matrices . and even software gives results are rounded due to recycling numbers several times. The main idea in this work is finding Determinate, Rank, and Inverse matrix by reduction the order of matrix.
References used
Bellman R., Introduction to matrix analyses(2nd)New York: McGraw-Hill 1970
Bocher M., Introduction to Higher Algebra .New York,1936
Brawn A.,T., Introduction to the Theory of Determinants, University of North Carolina Press,1958
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Software Defined Radios (SDR) are highly configurable hardware and
software platforms that enable the implementation of the rapidly expanding
3G and 4G digital wireless communication infrastructures. Many
sophisticated signal processing tasks are
performed in a SDR platform, for
example: channel estimation, equalisation, forward error correction,
adaptive antennas, rake receiving, modulation, advanced compression
algorithms, and vocoding.
The normal Costas frequencies code sequence signal is very well known and important signal in pulse compression Radar. In this paper we present two algorithms to modify Costas sequence by arranging the frequencies of Costas signal in time, first usin
g
binary Costas array and second using Golomb Ruler. These methods enable us to control side-lobes and to improve Doppler frequency resolution of Ambiguity Function (AF).
At first we present the principle of these methods Golomb Ruler and Costas array.
Then we apply these two methods to normal Costas signal, modified Costas signal and step frequency modulation and calculate the AF for all.
The results of comparison have shown that considerable reduction of side-lobes of AF is achieved by using these two methods, and consequently an improvement of AF is obtained.
Various types of criteria, under varying conditions, for the Nörlund
summability of the derived fourier series have been previously
obtainedby Hille and Tamarkin (1932), Astrachan (1936) and
Prasad and Siddiqi (1950). In this paper quite a differe
nt and
general type of criterion for the summability of the derived
fourier series has been obtained.
Where we shall consider a function f(x) of bounded variation
integrable in the sense of Lebesgue, and periodic.
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