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Cross-Term Suppression in Wigner Distribution

Thesis Info

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Author

Khan, Nabeel Ali

Program

PhD

Institute

Mohammad Ali Jinnah University

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2010

Thesis Completion Status

Completed

Subject

Applied Sciences

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/1016

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725802375

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Wigner Distribution, one of many methods to compute time frequency represen- tation, satisfies large number of mathematical properties and gives optimal energy concentration in time frequency plane. However, Wigner distribution suffers from severe cross-term interference problem, which limits its scope for practical appli- cations. Different modified versions of Wigner distribution have been developed to over- come its cross-term interference problem. Most of these techniques suppresses cross-term on the expense of quality of auto-terms. Schemes that compleltely remove cross-terms without affecting the resolution of Wigner distribution are computationally very expensive. This research proposes a computationally efficient solution to cross-term inter- ference problem based on image processing and fractional filtering. Signal com- ponents are located in time frequency plane using image processing. Fractional filters are then applied to separate signal components. Wigner distribution of separated signal components is computed and added up to obtain cross-term free crisp time frequency representation. Performance of the proposed time frequency representation is evaluated both on synthetic and real life bat signals. One of the most significant application of Wigner distribution is instantaneous frequency estimation of signals. However, Wigner distribution based instantaneous frequency can only be applied to mono-component signal because of its cross- term problem. In this study we extend Wigner distribution based instantaneous frequency estimation scheme to multi-component signals having non-overlapping time frequency representation.
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پارک دی سیر

پارک دی سیر
پارک دے وچ گھمن والے آندے دل پرچاون لئی
عورت مرد تے بہتے وڈے آندے دکھ گھٹاون لئی

صبح سویرے منہ ہنیرے سیر کرن نوں آندے نیں
بہتی عمراں والے بھائی چھیتی ہی تھک جاندے نیں
تھوڑی عمر دے گھبرو اوتھے آکے خوشیاں پاندے نیں
بہتے آندے اوتھے اپنا اپنا دکھ ونڈاون لئی

فجری اٹھ خدا دے بندے سر سجدے وچ دھردے نیں
شرع شریف دے تابع رہ کے ذکر خدا دا کردے نیں
صبر شکر دا پہن لبادہ ہر دم دکھڑے جردے نیں
دکھاں وچ وی نہ گھبراون رب سوہنے نوں پاون لئی

شوگر والے بھائی میرے! ایہہ تیری مجبوری اے
تڑکے اٹھ کے سیر نوں جانا تیرے لئی ضروری اے
پڑھ الحمد اکتالی واری ایہہ فرمان حضوریؐ اے
ایہدے نال درود رلا ، ایہہ ورد ہے دکھ ہٹاون لئی

بچے کرن تیاری ایتھے جد پرچے ہون سالانہ
کئی وچارے غربت مارے، کئی پئے دین ماہانہ
محنت دے ہن نمبر ملدے بھاویں شکل شاہانہ
محنت تے رب رکھدا ناہیں، دسی اے گل سمجھاون لئی

بہتے موٹے بھاری بندے سو سو نفل گزارن!
غم اندوہ سب دور ہو جاون کدی ناں ہمت ہارن!
قبر حشر نوں سامنے رکھ کے نفس اپنے نوں مارن
بڑا ای چنگا نسخہ ہے اے رب دے نیڑے آون لئی

سجری خوشبو پھلاں والی ہر پاسوں پئی آوے
پھل کلیاں دی مہک پیاری ہر اک نوں پئی بھاوے
جوں جوں خوشبو ودھدی جاوے دل سکون وی پاوے
باغ باغیچے لائے سارے تیرا جی بہلاون لئی

کڑیاں وی کدی سیر بہانے پارک دے وچ آندیاں نیں
پکڑ موبائل گھمدیاں پھردیاں اپنا دل بہلاندیاں نیں
نکھرا مکھ...

The Dress Code for Muslim Women: A Linguistic Analysis of the Qurānic Verses and the Prophetic Traditions

It is not uncommon to find cases of Muslim women being harassed or bullied in many of the Muslim-minority countries because of their dress. These Islamophobic attacks, unfortunately, are not merely conducted by radicalised individuals; but the subjugation of the rights of Muslim women also comes from institutional bodies and governments. Secular nations, such as France, Germany, Italy, Belgium, Netherlands, Bulgaria, Switzerland, USA, UK, Canada, China, and Russia have either imposed restrictions on Muslim women regarding their dress code. They see veil as a non-acceptance of progressive or cumulative values which is unsurprisingly not welcomed by the Muslim community. In such environment, it is inevitable for the Muslims to understand what the Qur’ān and Sunnah really say about the dress code for Muslim women in order to explain what their religion really requires from them and to communicate it appropriately to the government officials, journalists, politicians, and other relevant stakeholders. It is also essential from the perspective of segregating cultural aspects from the religious aspects. Many of the commonly used words for the dressing of Muslim women are more rooted in culture than the religion. It is accordingly vital to understand what the Qur’ān and Sunnah really command about the women dressing and how it has been interpreted in various Islamic societies and cultures. This paper accordingly presents an analysis of all the relevant Qur’ānic verses and the prophetic traditions (from the 6 most renowned books of ahadith). The linguistic analysis employed in this paper results in the identification of items of dress that were worn by Muslim women to safeguard their modesty during the times of Prophet Muhammad (ﷺ). The same principles are relevant for today’s age and time and the Muslims can use those guidelines to delineate cultural practices from the religious injunctions.

توراق کا ایک تحقیقی جائزہ

Today Islamic Finance is focused all over the world, because every other system has failed in the solution of world''s financial problems in the previous few decades, Islamic Banks have been developed. Now a days Islamic Banks have succeed in their various objects. For their initial objects, Islamic Banks have selected a verity of modes of finance, in which Murabaha is on top. The following thesis also discussed an important mode of finance which is named"Tawarruq"We have discussed its diffinition,approach,scop,its need in Islamic Finance, and its application in Islamic Banks. We also have effect a model of Tawarruq from Bank Negara. The drawbacks of Tawarruq,its economic impacts and its miss application and its effect has also been given attention. We have concluded that Tawarruq is a permissible mode of Finance, but not a model for the best economic system. It should be treated as a provisional solution.