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Suppose a system uses bipolar symbols such that a data 1 is transmitted as a period at 1 V and a data 0 is transmitted as a period at -1 V, and that at the signal detector the data is recovered using threshold detection at 0 V. Suppose, furthermore, that the system is using the (7, 4) Hamming code and that a received code word on one particular occasion is that shown in Fig. 1. a) What binary data would you get after threshold detection at 0 V? b) Without checking if the received code has an error or not, what would this code be decoded to? c) Now check whether there have been any errors in the received code of part (a), and give the decoded output. (Assume that the probability of there being more than one error in a received code word is negligible.)

Suppose a system uses bipolar symbols such that a data 1 is transmitted as a period at 1 V and a data 0 is transmitted as a period at -1 V, and that at the signal detector the data is recovered using threshold detection at 0 V. Suppose, furthermore, that the system is using the (7, 4) Hamming code and that a received code word on one particular occasion is that shown in Fig. 1. a) What binary data would you get after threshold detection at 0 V? b) Without checking if the received code has an error or not, what would this code be decoded to? c) Now check whether there have been any errors in the received code of part (a), and give the decoded output. (Assume that the probability of there being more than one error in a received code word is negligible.)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Suppose a system uses bipolar symbols such that a data 1 is transmitted as a period at 1 V and a data 0 is transmitted as a period at −1 V, and that at the signal detector the data is recovered using threshold detection at 0 V. Suppose, furthermore, that the system is using the (7, 4) Hamming code and that a received code word on one particular occasion is that shown in Fig. 1. a) What binary data would you get after threshold detection at 0 V? b) Without checking if the received code has an error or not, what would this code be decoded to? c) Now check whether there have been any errors in the received code of part (a), and give the decoded output. (Assume that the probability of there being more than one error in a received code word is negligible.) voltage/V 1 decision instants Figure 1. The received code word time
Transcribed Image Text:Suppose a system uses bipolar symbols such that a data 1 is transmitted as a period at 1 V and a data 0 is transmitted as a period at −1 V, and that at the signal detector the data is recovered using threshold detection at 0 V. Suppose, furthermore, that the system is using the (7, 4) Hamming code and that a received code word on one particular occasion is that shown in Fig. 1. a) What binary data would you get after threshold detection at 0 V? b) Without checking if the received code has an error or not, what would this code be decoded to? c) Now check whether there have been any errors in the received code of part (a), and give the decoded output. (Assume that the probability of there being more than one error in a received code word is negligible.) voltage/V 1 decision instants Figure 1. The received code word time
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