Computer Science Essay

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[pic] INSTRUCTOR: COURSE CODE: IST 4060 COURSE DESCRIPTION: Introduction To Telecommunications and Networking =============================================== TASK: Assignment 1 and 2 SEMESTER: SPRING 2014 =============================================== DUE DATE: 19/2/2014 1) Commonly, medical digital radiology ultrasound studies consist of about 25 images extracted from a full-motion ultrasound examination. Each image contains a 1024 x 1024 pixels, each with 8 bits of intensity information. a) How many bits are there in the 25 images? 1024*1024=1,048,576 1pixel=8bits 1,048,576*8=8,388,608bits is one image 25 images = 8,388,608 bits * 25 =2,009,715,200 Bits b) Ideally, however, the doctors would like to use 512 x 512 x 8-bit frames at 30 ft/sec. Ignoring possible compression and overhead factors, what is the minimum channel capacity required to sustain this full-motion ultrasound? 512*512*8=2,097,152 Bits 2,097,152*30=62914560bits c) Suppose that each full-motion study consists of 25 sec of frames. How many such studies could fit on a 600-MB CD ROM? 1Mb = 1,048,5776Bytes 600Mb = 629,145,600Bytes 1 Byte = 8 Bits 629,145,600 = 5,033,164,800bits 62914560 * 25 = 1,572,864,000bits 5,033,164,800bits /1,572,864,000bits =3.2times 2) According to Shannon’s information theory, the maximum data rate for a noisy signal is given by: B= H log2 (1+S/N) Where: B = data rate in bits per sec H = bandwidth S/N = Signal-to-Noise ratio. Use this equation to answer the following question: If a binary signal is sent over a 3-kHz channel whose signal-to-noise ratio is 25dB, what is the maximum achievable

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