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Consider the following communication system. Define the half-sine pulse ps(t) by #). sin P;(t) = 0 y or < y AWGN Determine the energy of the half-sine pulse.

Consider the following communication system. Define the half-sine pulse ps(t) by #). sin P;(t) = 0 y or < y AWGN Determine the energy of the half-sine pulse.

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
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Consider the following communication system. Define the half-sine pulse p,(t) by sin 0 <t<T, P;(t) = else. We assume that the channel is an AWGN channel with power spectral density No/2. rTo+T dt To >y or < y AWGN a. Determine the energy of the half-sine pulse. b. Suppose that we send Ap,(t) if the bit to send is "s", and -Ap,(t) if the bit to send is "0", where A > 0 is the amplitude of the transmitted pulse. The threshold y is zero. Determine the average probability of error, in terms of E»/No, if i. the starting time of the integrator T, = 0, ii. the starting time of the integrator T, = T /2.
Transcribed Image Text:Consider the following communication system. Define the half-sine pulse p,(t) by sin 0 <t<T, P;(t) = else. We assume that the channel is an AWGN channel with power spectral density No/2. rTo+T dt To >y or < y AWGN a. Determine the energy of the half-sine pulse. b. Suppose that we send Ap,(t) if the bit to send is "s", and -Ap,(t) if the bit to send is "0", where A > 0 is the amplitude of the transmitted pulse. The threshold y is zero. Determine the average probability of error, in terms of E»/No, if i. the starting time of the integrator T, = 0, ii. the starting time of the integrator T, = T /2.
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