Qatar University

Waheed U Bajwa

Naofal Mohammed Al-Dhahir

Ridha Hamila

Mohamed Awadin

Abubakr O Al-Abbasi

A method and apparatus may include receiving a transmission. The method can also include determining a sparsifying dictionary that sparsely approximates a data vector of the transmission. The determining the sparsifying dictionary includes performing a fast Fourier transform and/or an inverse fast Fourier transform. The method also includes configuring a filter based on the determined sparsifying dictionary.

Method and apparatus for implementing sparse finite-impulse-response equalizers

The method of identifying faulty antenna elements in massive uniform linear antenna arrays is a compressive sensing-based method that takes advantage of the reduction of the measurement matrix for a uniform linear antenna array to a partial discrete Fourier transform (DTF) matrix, whose rows correspond to the measurements' locations. Particularly, the method of identifying faulty antenna elements in massive uniform linear antenna arrays allows the measurements to be taken to reduce the measurement matrix's worst-case coherence, a factor which affects the detection probability of the defective antenna elements. The method constructs a measurement matrix with fewer distinct inner product values to reduce the worst-case coherence. In an alternative embodiment, the method focuses on bounding the inner product between any pair of measurement matrix columns.

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Waheed U Bajwa