قرآن كا سات حروف پر نازل ہونا

According to Hadith literature, the Quran is revealed in seven Ahruf, the plural of harf. Ahruf are distinct from Qira'at. This is a very momentous and lengthy topic, indeed, one of the most complicated discussions on the sciences of the Qur’an. It is very difficult to discuss it in full details in this work but the important things about it are being presented in this article. The first problem we face with this Hadith is what is meant by the Revelation of Qur’an on Seven “Ahruf”? We find a great deal of difference of opinion on this subject. Up to thirty five different views have been quoted by Ibn al-‘Arabi and others. Some of the popular views are quoted in this article. The context of these narrations indicates clearly that the word ‘seven’ does not denote an unspecified large number but it denotes the specific numerical value ‘seven’. Hence, in the light of these narrations this view (that seven means more than that) does not hold good and the majority of scholars reject it. In the vast collections of Hadiths, we do not find any mention of difference in the Qur’an other than that accounted for in “ahruf”. How then may we explain differences in reading and “ahruf”? I have not been able to find a satisfactory answer to this confusion with the advocates of this theory.

Link to System L2s Interfacting for Advanced Receiver Strategies

The size and complexity of wireless communication networks have grown tremendously over the last few decades. Analysis of a wireless communication system requires computer simulations of the entire communication network, spanning multiple cells with a large number of base stations and mobile terminals. This normally involves complex physical layer computations in order to evaluate the receiver performance with the transmitted signals subjected to interference, multipath propagation, and shadowing. Link to system (L2S) interfacing reduces the computational complexity associated with the physical layer performance evaluation of multiple communication links by predicting the receiver behavior under different channel conditions using precalculated lookup tables (LUTs). This thesis investigates the L2S interfacing for different advanced receiver strategies using various nonlinear mapping functions. Different transmission scenarios such as single input single output, single input multiple output, and multiple input multiple output are considered. Besides using the conventional AWGN channel performance as the reference LUT, the mean of different channel frame error performance is also suggested as reference and the prediction accuracy of both have been compared. L2S framework has been implemented using the post detection signal to noise ratio (SNR) values as the received signal quality measure. The existing L2S work for SISO, linear MIMO systems has been extended to iterative and maximum likelihood receivers, where finding an accurate estimate of the received signal quality which is highly correlated to the receiver output is an open problem and needs to be fully explored. Algorithms for the post detection SNR value estimation for iterative and maximum likelihood receivers have been proposed and their prediction performance is validated for diverse communication channels. It is shown that, the post detection SNR value is an accurate measure of the quality of the received signal. However, for MIMO system with single stream encoding, the accurate estimation of the post detection SNR value for each individual link is not essential, but rather an accurate average value over multiple links is found to be sufficient.