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Transmission of Elastric Waves Through a Random Layer

Thesis Info

Author

Muhammad Sharif

Department

Deptt. of Mathematics, QAU.

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

1987

Thesis Completion Status

Completed

Page

66

Subject

Mathematics

Language

English

Other

Call No: DISS/M.Phil MAT/237

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676717404247

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انور نعمانی

انور نعمانی مرحوم
علامہ شبلیؒ نعمانی نے اپنے بھائی مولوی محمد اسحاق مرحوم وکیل الہ آباد ہائی کورٹ کی موت پر اپنے ایک پر درد نوحہ میں یہ فرمایا تھا۔
مرنے والے کو نجات ابدی کی ہو نوید
خوش و خرم رہے چھوٹایہ مرا بھائی جنید
ان ہی جناب جنید نعمانی کے مرحوم کے اکلوتے بیٹے انور نعمانی مرحوم تھے، جنھوں نے لگ بھگ اسّی۸۰ سال کی عمر میں کراچی میں مئی ۱۹۸۶؁ء کے آخری ہفتہ میں وفات پائی، مرحوم اپنے والد بزرگوار کے سایۂ عا طفت میں بڑے لاڈ پیار اور ناز ونعمت سے پلے، تعلیم مسلم یو نیو رسٹی علی گڑھ میں پائی، گھر میں دولت تھی، اس لئے ان کو نوکری کرنے کی ضرورت نہیں پڑی، کچھ دنوں مرزا پور میں فارم کیا، چھوٹی موٹی تجارت بھی کی، پھر حضرت مولانا اشرف علی تھانویؒ کے خلیفہ مولانا عبدالغنی پھولپوری کے ایسے گرویدہ اور فریضتہ ہوئے کہ وہ نقل وطن کرکے کراچی چلے گئے تو یہ بھی اپنا گھربار سب کچھ چھوڑ کر ان ہی کے ساتھ وہاں رہنے لگے، جب تک اعظم گڑھ میں رہے دارالمصنفین والوں کے یار وفادار اور غم گسار بن کر ان کے لئے اپنی محبت کا دم بھرنا زندگی کا شعار بنائے رکھا۔ کراچی میں ان کے اکلوتے لڑکے سرکاری نوکر ہیں، اچھے حال میں ہیں ،پھر ان کے اور قریبی اعزہ بھی وہاں بہت خوش حال ہیں، مگر انھوں نے کسی کے یہاں رہنا پسند نہیں کیا، اپنے مرشد کی ایک پسند یدہ مسجد سے ملحق ایک کٹیا ان ہی کے نام پر ایک عبادت گاہ کے گوشے میں رہ کر اپنی بقیہ زندگی گذاردی، کراچی جب جب گیا، ان سے جاکر ضرور ملا، اور ان کی پرانی زندگی کی یادوں کی قندیل روشن کی، کسی زمانے میں صاحب کی طرح زندگی بسر کرنے والے کو ان...

The Life and Achievements of Hyder Bux Jatoi, With an Special Reference to His Social and Political Contributions

Comrade Hyder Bux Jatoi, also known as ‘Baba e Sindh’, was the most prominent leader of the farmer societies of pre-independence Pakistan. Although he was a bureaucrat turned into a farmer activist, but later he played a very important role in the social and political settings of the country at that time. Most of the Pakistani people remember him as a sign of change and renovation in the agricultural history of Pakistan. This was a great effort to credit the front-runners and their struggle; it is very prominent among the laborers and landless leaders of the world. He devoted his entire life to set peace up for the struggle of land ownership rights to dispossessed farmers, and highlighted the cause, to be noticed by the notables. The vision of Mr. Jatoi is still reflected in many situations when initiatives are taken by the various governments of the world to provide the masses with the basic requirements of development and peace.

Design of Adaptive Algorithms for Estimation in Single-Agent and Multi-Agent Environments

Contribution of adaptive filters in the evolution of modern communications is remarkable. The logic of adaptive filtering establishes a significant part in the tool-set of statistical signal processing. For the problem of adaptive estimation, computational cost, convergence rate, steady-state error, stability and generalization are considered to be the main challenges. In this work several novel adaptive algorithms are developed to address these challenges. This work focus on two different types of environments, namely single-agent environments and multi-agent environments. In singleagent environments, data arrives at a single node for the estimation of a parameter of interest. For such environments we propose a novel idea of q-calculus based adaptive analysis. The qgradient is an extension of the classical gradient vector based on the concept of Jackson’s derivative. The q-derivative takes larger steps in the search direction as it evaluates the secant of the cost function rather than the tangent (as in the case of a conventional derivative). Motivated by this, in this work we developed several algorithms/ideas in which we addressed the short comings of the standard least mean square (LMS) and its variants by using q-calculus, such as, the q-least mean square (q-LMS) algorithm, in which we minimize the LMS cost function by employing the concept of q-derivative instead of the conventional derivative, the q-normalized least mean square (qNLMS), the two-dimensional q-least mean square (2D-qLMS) algorithm and the q-LMS for tracking a non-stationary channel. Consequently, several new explicit closed-form expressions for the meansquare-error (MSE) behavior are derived for the transient and steady-state analysis. On the other hand multi-agent signal processing has attract a number of researchers owing to better statistical inference in wireless networks and is therefore effectively utilized in many applications such as wireless sensor networks, smart grids etc. In multi-agent environments, data arrives at multiple nodes that are distributed over a geographical area and have a common task of estimation of a desired parameter. There are two major estimation techniques used for distributed environments: (1) centralized estimation, and (2) decentralized estimation. In centralized estimation, all the estimations take place at a single processor by sharing data from each node at a centralized unit. Such an estimation requires powerful processor along with massive amount of communication and power. To overcome these problems a decentralized estimation solution is proposed in literature, in which each node has its local estimate which is shared with the neighbors in an explicit manner (such as incremental, diffusion etc). Decentralized estimation techniques suffer from: (1) link failure problem, (2) instability issues, and (3) computational cost (particularly in the context of state-space estimation models). To deal with these problems, a number of innovative methodologies are proposed. Firstly a convex combination-based incremental least mean square (LMS) algorithm is proposed to overcome the problems of link failure between the nodes and instability in case local divergence in incremental mode of cooperation. The proposed algorithm is developed by employing convex combination of two filters. The adaptation of one filter is based on the estimate of adjacent node (incremental type), while the adaptation of the other is based on the estimate of the current local node at the previous time instant. These two filters are then fused together by using a suitable mixing parameter. Secondly to minimize the steady-state error, an optimum error non-linearity based incremental mode of cooperation is proposed. Thirdly, to reduce the computational cost for state-space estimation in distributed environments, a state-space least mean square algorithm for diffusion mode of cooperation is proposed. The proposed algorithm minimizes the computational complexity at each node which intern provides a significant advantage in terms of computational cost of the overall network and hence, can improve the response time of the network. Both the convergence in the mean and the mean square analysis of the proposed algorithm are performed and the transient and steady-state behavior of the proposed algorithm is analyzed.