وسدی جھوک دے لوگ
اساں وسدی جھوک دے لوگ ھاسے
ساڈیاں جھمراں میلے جاگے ہن
ساڈے سارے بھاگ سھاگے ہن
ایں ہسدے وسدے ویلے وچ
ہک دھرتی جایا آیا ھا
ساکوں نندروں آنڑ جگایا ھا
او روشن سجھ امیدیں دا
او نور ھا ساڈیاں دیدیں دا
پر وقت دے اندھے آمر کوں
اونھ ویلھے دے ہک جابر کوں
ساڈا رل کے جیونڑ نی بھانڑاں
ساڈا سانجھا تھیونڑ نی بھانڑاں
او غاصب روح دیاں فصلاں دا
او قاتل ساڈیاں نسلاں دا
اونھ خوشبو کو زنجیر کیتا
ساڈے سجھ کوں آنڑ اسیر کیتا
پچھیں رات اندھاری ڈھک گئی اے
اوندیں نانویں وینڑ کریندے ھویں
اونھ نسل دی کمر وی جھک گئی اے
رل سانجھا تھیو مڑ چاھندے ہن
متاں وستیاں ساڈیاں وس پوون
متاں وستیاں ساڈیاں وس پوون
متاں جھوک تے ساول ول آوے
اینہ آس تے ھنڑ پئے جیندے ھیں
اوندا لعل بلاول ول آوے
جیے بھٹوجیے، جہانگیر مخلص
The crime of theft if committed in unavoidable circumstances like extreme hunger or famine, Hadd punishment shall remain suspended. A crime of Zina if committed in a situation where the life of a woman is in danger because of hunger or thirst and she committed Zina to acquire food items or drinking water to save her life, she will be exonerated from the charges of Zina. In the light of Quranic injunctions, the punishment of a slave girl, if she committed Zina, is half as compare to independent women and the punishment for the wives of the Holy Prophet for committing the crime of fawahish or disobedience (Nushuz), is double as compare to other women. 4. Contrary to this principle, if a respectable person committed crimes under Tazir, he deserves lesser punishment or mere admonition in the light of tradition of the Holy Prophet: (Pardon the wrong done by the nobles of the society”.5. For awarding the punishment of Rajm, if the condition of Ihsan is fulfilled, he/she will be killed by stoning. According to Shiah Imamiah, Allama Rasheed Raza and others, when a person who is once married but due to divorce or separation, is living alone or miles away from his wife and not in a position to enjoy her company. If such person committed Zin┐, he or she will not be awarded the punishment of stoning.6. In the light of tradition, it is not allowed to award death punishment except the following three circumstances. Firstly, if a person, being a Mohsan, committed Zina, . Secondly, after accepting Islam, if a person converted to other religion. Thirdly, death punishment can be awarded in retaliation of murder committed
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