In this paper, we present a frequency-domain receiver for ZP-OFDM schemes (Zero-Padded Orthogonal Frequency Division Multiplexing) where the duration of the channel impulse response is a significant fraction of the duration of the OFDM block. The proposed receiver has a relatively low complexity, allowing an FFT-based (Fast Fourier Transform) implementation. The proposed receiver is suitable to...

We establish basic facts about the varieties of homogeneous polynomials divisible by powers of linear forms, and explain consequences for geometric complexity theory. This includes quadratic set-theoretic equations, a description of the ideal in terms of the kernel of a linear map that generalizes the Foulkes-Howe map, and an explicit description of the coordinate ring of the normalization. We ...

The widespread application of OFDM for local area mobile wireless broadband systems is strongly motivated by the simple equalization it a ords. OFDM's bottleneck of channel-dependent performance was only recently addressed by replacing the cyclic pre x (CP) with trailing zeros (TZ). Such zero-padded OFDM transmissions enable FIR channel-irrespective symbol recovery which results in signi cant B...

Implicitly dealiasing is a recently-developed technique which improves upon conventional zero padding to compute linear convolutions via fast Fourier transforms. For onedimensional inputs, the memory requirements and performance are similar to conventional zero-padded convolutions, but implicitly dealiased convolutions are faster and require less memory when the data is multi-dimensional. We sh...

The origins of karate and its evolution as a sport are described. Karate injuries tend to occur in three main areas: the head and neck, the viscera, and the limbs. Effective legislation controlling karate, which could help prevent injuries, is lacking at the moment and should be established. Recommendations for the prevention of injury include the introduction of weight classes, mandatory prov...

We describe the case of a 32-year-old woman who developed bilateral heel numbness after obstetric epidural analgesia. We diagnosed her with bilateral neuropathy of the medial calcaneal nerve, most likely due to longstanding pressure on both heels. Risk factors for the development of this neuropathy were prolonged labour with spinal analgesia and a continuation of analgesia during episiotomy. Pa...

The image processing tools are extensively used on the development of new algorithms and mathematical tools for the advanced processing of medical and biological images. Given an MRI scan, first segment the tumor region in the MRI brain image and study the pixel intensity values. A detailed procedure using Matlab script is written to extract tumor region in CT scan Brain Image and MRI Scan Brai...

This report presents a new fault-tolerance technique for cache memories. Current fault-tolerance techniques for caches are limited either by the number of faults that can be tolerated or by the rapid degradation of performance as the number of faults increases. In this report, we present a new technique that overcomes these two problems. This technique uses a special Programmable Address Decode...