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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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خلاصہ بحث

ایمان اسلام کو جزو لاینفک ہے اس کے بغیر اسلام قابل قبول نہیں کوئی بھی شخص مکمل ایمان لائے بغیر دائرہ اسلام میں داخل نہیں ہو سکتا ۔ فصل اول میں ایمانیات کے بارے میں قرآن مجید کی درج ذیل سورتوں کی ۲۰ آیات سے وضاحت کی گئی ہے۔

سورة آل عمران آیت نمبر ۱۶۰، سورة النساء آیت نمبر۸۲، سورة الاعراف آیت نمبر۱۸۵، سورة يونس آیت نمبر۳۴، سورة بنى اسرائیل آیت نمبر ۹۹، سورة الانبياء آیت نمبر ۴۲، سورة الحج آیت نمبر۷۰، سورة المؤمنون آیت نمبر ۸۵،۸۶،۸۷،۸۸،۸۹، سورة النور آیت نمبر ۵۰، سورة الروم آیت نمبر ۳۵،۳۷ ،سورةالزمر آیت نمبر ۴۳، سورة المؤمن آیت نمبر ۸۱،۸۲، سورة المرسلات آیت نمبر۲۰،۲۵، اس فصل میں ان آیات میں اللہ تبارک وتعالیٰ نے اپنے بندوں سے سوال فرمایا ہے۔

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The Effects of Rapid Growth of Universities on Human Resource Development in Pakistan

At the time of inception Pakistan had a very weak infrastructure of higher education but successive Governments did not do much to establish and strengthen tertiary education. Good policies with lack of political will and financial commitments proved unrealistic. Privatization in the early 70s followed by a mushroom growth of private institutions on a commercial basis and lack of commitment and absence of quality standards in public universities proved to be evils beyond UGC's control. Hence a large number of institutions admitting even larger number of students turned out to be a nightmare in terms of quality of human resource being produced by many institutions because they lacked human, financial and infrastructure resources required for the job. Taking stock of the situation the present Government established the Higher Education Commission with the primary task to enable universities and degree awarding institutions to develop effective human resource (faculty development) to create a synergy effect by imparting quality education to the able youth. To supplement and complement this, adequate financial resources for infrastructure are being provided and quality standards and procedures are being set in place. The researcher is of the view that the present interventions are a welcome effort and are likely to convert the ill effects of the recent mushroom growth of institutions of higher learning into positive ones in terms of producing effective human resource. However it is recommended that this effort should not be made in isolation and should be made as a national effort synchronizing school, college and university education into a solid blend so that quality and quantity complement and support each other.