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محمد عباس اثرؔ

محمد عباس اثرؔ(۱۹۰۱ء۔پ) کا اصل نام محمد عباس اور اثرؔ تخلص کرتے تھے۔ اثر ؔراولپنڈی میں پیدا ہوئے۔ سیالکوٹ میں بزمِ افکار کا احیا کیا اور اس بزم کے صدر بنے۔ اثر سیالکوٹ میں حلقہ اربابِ ذوق کے ممبر بھی منتخب ہوئے۔ آپ نعت‘ غزل‘ نظم اور قطعات لکھتے تھے ۔(۳۴۴) اثر روایتی شاعر ہیں۔ ان کی شاعری توحید و رسالت‘ یاسیت اور دردو غم میں ڈوبی ہوئی ہے۔ نمونۂ کلام ملاحظہ ہو:

آج کچھ اور حال ہے دل کا

 

/بجھ رہا ہے چراغ محفل کا

 

-اک بگولہ اٹھا سرِ منزل

 

-اڑ رہا ہے غبار منزل کا

 

3غم کی کونپل نگاہ سے پھوٹی

 

/کوئی ٹوٹا ہے آبلہ دل کا

 

5آندھی اٹھی اثرؔ بڑھاؤ قدم

 

/بجھ رہا ہے چراغ منزل کا

(۳۴۵)

 

کیا سناتے انہیں ہم حال سنایا نہ گیا

 

درد محسوس تو ہوتا تھا دکھایا نہ گیا

 

اور تو رنج کئی ہم نے اٹھائے لیکن

 

رنج بے مہری احباب اٹھایا نہ گیا

(۳۴۶)

/شکستِ غم آرزو درد بن کر

 

میرے دل کو رہتا ہے اکثر لپیٹے

 

اثر میں نے اشعار میں ضبطِ غم سے

 

3سلگتے ہوئے چند آنسو سمیٹے

(۳۴۷)

The Holy Prophet (Saw) as an Embodiment of Peace: An Analysis of Extracts From the Text of Al-Quran and Sunnah

In view of the geo-politics of the twenty first century where despite the concerted efforts of the international community to maintain peace on the globe, the still is confronted with the wars and its worst consequences. One of the reasons for such unhappy developments is that religion is most of the time considered as war-mongering. This may be somewhat true in case of certain cases; however, the case of Islam is totally different. The very word Islam stands for peace. It was revealed on Prophet Muhammad (SAW) who remained an icon of peace and mercy for the whole Mankind. This paper was an attempt to highlight some of the guiding injunctions of Islam together with the peace-related overtures of the Last Prophet of Allah. The problem under study was to explore, “The Holy Prophet (SAW) as an embodiment of Peace—an analysis of extracts from the text of The Holy Quran and Sunnah”. The objectives were: 1, to highlight some of the commandments of Islam regarding peace; and 2, to pinpoint some of the peace-promoting instances from the life of the Holy Prophet (SAW). The methodology adopted was to highlight some of the peace-promoting text of the Holy Quran coupled with instances from the life of the Holy Prophet (SAW). It was found that Islam stands as religion for peace. The last messenger of Allah was a complete embodiment of peace in His disposition and practice. Hence the very text of the Holy Quran as ell as the life of Prophet Muhammad (SAW) provide some very cherished ideals and norms for the establishment of a peaceful global community.

Efficient Spectral Analysis of Time Series

This work focuses on efficient, joint time-frequency analysis of time series data. Joint time-frequency analysis is based on the sliding window. There are two major contributions of this thesis. Firstly, we haveThis work focuses on efficient, joint time-frequency analysis of time series data. Joint time-frequency analysis is based on the sliding window. There are two major contributions of this thesis. Firstly, we have introduced a notion of “aggregate spectrogram (AS)” which is a unimodal distribution at each time instant. The AS is extremely useful and computationally efficient when we are interested in a few spectral features and not the entire spectrum. Properties/characteristics of the AS have been listed. A para- metric method, based on a second order autoregressive model of the signal, for the construction of the AS, has been described. Of all the existing spectral estimation tools, the AS has the least computational complexity. Based on the AS, instan- taneous frequency estimation for multicomponent signals with equal amplitudes has been achieved. The AS does not require Goertzel filters in dual tone multi frequency detection applications. The AS finds many potential application. A few examples are voice activity detection, edge detection, motion vector estimation etc. Secondly, the problem of estimating the instantaneous frequency and band- width for multicomponent signals with time varying amplitudes has been solved by employing a new peak detection algorithm. The algorithm has been shown to outperform existing algorithms when the frequencies and amplitudes of the multi- component noisy signals are time-varying. Other contributions of the thesis include: low computational cost algorithms for the sliding discrete Fourier transform, and algorithms for its extension to spectral interpolation through zero padding and window padding. A low cost, optimized iii split-radix FFT architecture for zero-padded signals is also proposed. The Wiener-Khintchine theorem (WKT) yields better spectral estimates of Gaussian signals as compared to the discrete Fourier transform (DFT). Higher order spectra find utility in case of additive colored noise or the signals are non- Gaussian. Due to high computational complexities, the WKT and higher order spectra are avoided in the sliding window based spectral analysis. We have devel- oped recursive forms of the WKT, bispectrum and trispectrum whose computa- tional complexities have reduced to linear, quadratic and cubic orders, respectively introduced a notion of “aggregate spectrogram (AS)” which is a unimodal distribution at each time instant. The AS is extremely useful and computationally efficient when we are interested in a few spectral features and not the entire spectrum. Properties/characteristics of the AS have been listed. A para- metric method, based on a second order autoregressive model of the signal, for the construction of the AS, has been described. Of all the existing spectral estimation tools, the AS has the least computational complexity. Based on the AS, instan- taneous frequency estimation for multicomponent signals with equal amplitudes has been achieved. The AS does not require Goertzel filters in dual tone multi frequency detection applications. The AS finds many potential application. A few examples are voice activity detection, edge detection, motion vector estimation etc. Secondly, the problem of estimating the instantaneous frequency and band- width for multicomponent signals with time varying amplitudes has been solved by employing a new peak detection algorithm. The algorithm has been shown to outperform existing algorithms when the frequencies and amplitudes of the multi- component noisy signals are time-varying. Other contributions of the thesis include: low computational cost algorithms for the sliding discrete Fourier transform, and algorithms for its extension to spectral interpolation through zero padding and window padding. A low cost, optimized split-radix FFT architecture for zero-padded signals is also proposed. The Wiener-Khintchine theorem (WKT) yields better spectral estimates of Gaussian signals as compared to the discrete Fourier transform (DFT). Higher order spectra find utility in case of additive colored noise or the signals are non- Gaussian. Due to high computational complexities, the WKT and higher order spectra are avoided in the sliding window based spectral analysis. We have devel- oped recursive forms of the WKT, bispectrum and trispectrum whose computa- tional complexities have reduced to linear, quadratic and cubic orders, respectively
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