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۵۸۔ پہیہ

پہیہ

چنچل ہوائوں سے باتیں

لہلہاتے کھیتوں کے نظارے

موسم کی حسین ادائیں

معطر خوشگوار فضائیں

گلابوں کی مسکراہٹیں ،کلیوں کی اٹھکیلیاں

شاخوں کی عصمت دری پر خشک پتوں کی ماتم

چلچلاتی دھوپ میں سورج کا انتقام

سیاہ بادلوںکے گھنیرے سائے

بارش کی بوندوں سے اٹھنے والی بھینی بھینی مہک

سرکنڈوں سے نکلتے ہوئے جگنوئوں کے قافلے

امام طبری كے حالات زندگی اور تفسیری منہج

Ibne Jareer Al-Tabar┘ is well known personality in the 3rd century as no one second in his period. His opinion was considered authentic due to his knowledge and virtue. He was great scholar, commentator, narrator, jurisprudent and historian. Taftheer Ibne Jareer Al-Tabar┘ is used as basic source for those who follow “Transcribed Method”. He established a separate school of thought due to his over command on Fiqah. This paper describes the “The Exegetical Methodology and the Biography of Ibne Jareer Al-Tabar┘”. The Tafsir gives information about older commentaries which have not survived to the present. Its content —which encompasses dictionaries, historical notes, law, recitation, theology and Arabic literature— has made it a highly referenced book throughout history, resulting in many editions. It is also a good example of reasoning in a Tafsir by a widely accepted scholar, giving it a value of diraya.

Symbol Detection Techniques in a Spatial Multiplexing System

Significant performance gains are achievable in wireless communication systems using a Multi-Input Multi-Output (MIMO) communications system employing multiple antennas. This architecture is suitable for higher data rate multimedia communications. One of the challenges in building a MIMO system is the tremendous processing power required at the receiver side. MIMO Symbol detection involves detecting symbol from a complex signal at the receiver. The existing MIMO detection techniques can be broadly divided into linear, non-linear and exact detection methods. Linear methods like Zero-Forcing offer low complexity with degraded Bit Error Rate (BER) performance as compared to non-linear methods like VBLAST. Non-linear detectors are computationaly not very expansive with acceptable performance. Exact solutions like Sphere Decoder provide optimal performance however it suffers from exponentional complexity under certain conditions. The focus in the early part of this thesis is on non-linear approximate MIMO detectors and an effort has been made to develop a low complexity near-optimal MIMO detector. Computational Swarm Intelligence based Meta-heuristics are applied for Symbol detection in a MIMO system. This approach is particularly attractive as Swarm Intelligence (SI) is well suited for physically realizable, real-time applications, where low complexity and fast convergence is of absolute importance. Application of Particle Swarm Optimization (PSO) and Ant Colony Optimization (ACO) algorithms is studied. While an optimal Maximum Likelihood (ML) detection using an exhaustive search method is prohibitively complex, we show that the Swarm Intelligence optimized MIMO detection algorithms gives near-optimal Bit Error Rate (BER) performance in fewer iterations, thereby reducing the ML computational complexity significantly. In this thesis novel non-conventional MIMO detection approaches based on Swarm-Intelligence techniques have been presented. An effective and practical way to enhance the capacity of MIMO wireless channels is to employ space-time (ST) coding. Space-time block coding (STBC) is a transmit diversity technique in which the data stream to be transmitted is encoded in blocks, which are distributed among multiple antennas and across time. Alamouti’s simple STBC scheme for viwireless communication systems uses two transmit antennas and linear maximum-likelihood (ML) decoder. This system was generalized by Tarokh to an arbitrary number of transmit antennas by applying the theory of orthogonal designs. In the later part of this thesis a simple multi-step constellation reduction technique based decoding algorithm that further simplifies the linear ML detection in Orthogonal Space-Time Block Coded systems is proposed. This approach reduces the computational complexity of these schemes while presenting the ML performance. In addition, Spatial Multiplexing systems using Orthogonal Walsh codes are also studied. This approach has a potential to reduce the search space to allow efficient symbols detection in Spatial Multiplexing systems.
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