In this paper we consider the generalized approximate message passing (GAMP) algorithm for recovering a sparse signal from modulo samples of randomized projections of the unknown signal. The modulo samples are obtained by a self-reset (SR) analog to digital converter (ADC). Additionally, in contrast to previous work on SR ADC, we consider a scenario where the compressed sensing (CS) measurements (i.e., randomized projections) are sent through a communication channel, namely an additive white Gaussian noise (AWGN) channel before being quantized by a SR ADC. To show the effectiveness of the proposed approach, we conduct Monte-Carlo (MC) simulations for both noiseless and noisy case. The results show strong ability of the proposed algorithm to fight the nonlinearity of the SR ADC, as well as the possible additional distortion introduced by the AWGN channel.Index Terms-Generalized approximate message passing, selfreset analog to digital converter, noisy channel, compressed sensing, Bernoulli-Gaussian mixture
Cystic hypersecretory pattern is a rare and poorly recognised variant of invasive ductal carcinoma of the breast. Cystic hypersecretory lesions of the breast have a spectrum of morphological features ranging from clearly benign cystic hypersecretory hyperplasia (CHH), CHH with atypia, cystic hypersecretory carcinoma (CHC) to invasive CHC. Until now, no case of invasive CHC has been reported in India, to the best of our knowledge. We report a case of a 57-year-old female with a history of a lump in the inferomedial quadrant of the right breast for three years, gradually increasing in size. A mammography showed a well-defined, lobulated radio-opacity. A modified radical mastectomy was done. Gross examination showed multiple cystic spaces filled with thick gelatinous material and solid areas. On histopathology, cystic hypersecretory variant of invasive ductal breast carcinoma with focal papillary pattern was diagnosed. Cystic hypersecretory ductal carcinoma behaves in a low-grade fashion for many years but has a potential for invasiveness and metastasis, so regular follow-up of such cases is crucial.
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