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Task 3: Modulation is a basic operation done in communications. It simply means that we multiply humans' voice signal by a sinusoidal signal with higher frequency. The reason why we do this is that signals with different frequencies do not mix and can be separated. Therefore hundreds of people can talk on the mobile phone, at the same time in the same location. Because, each one of us has his voice signal multiplied by a different sinusoidal frequency. The modulated voice signal going out of your mobile phone is represented with a voltage signal [assuming your voice signal is sinusoidal to case the modelling] given by v = [V. + Vmsin(@mt)]sin(@.t). Where V, = carrier amplitude or the amplitude of the high frequency signal, Vm = modulating signal amplitude or the amplitude of your voice, wc = angular frequency of the carrier and wm = angular frequency of the voice signal. A. By calculations show that: (2 sin(@.t) + d x cos[(@. – wm)t] – d x cos[(we + wm)t]) where d (sometimes called the depth of modulation if given as a percentage).

Task 3: Modulation is a basic operation done in communications. It simply means that we multiply humans' voice signal by a sinusoidal signal with higher frequency. The reason why we do this is that signals with different frequencies do not mix and can be separated. Therefore hundreds of people can talk on the mobile phone, at the same time in the same location. Because, each one of us has his voice signal multiplied by a different sinusoidal frequency. The modulated voice signal going out of your mobile phone is represented with a voltage signal [assuming your voice signal is sinusoidal to case the modelling] given by v = [V. + Vmsin(@mt)]sin(@.t). Where V, = carrier amplitude or the amplitude of the high frequency signal, Vm = modulating signal amplitude or the amplitude of your voice, wc = angular frequency of the carrier and wm = angular frequency of the voice signal. A. By calculations show that: (2 sin(@.t) + d x cos[(@. – wm)t] – d x cos[(we + wm)t]) where d (sometimes called the depth of modulation if given as a percentage).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Task 3 (A)

Task 3: Modulation is a basic operation done in communications. It simply means that we multiply humans' voice signal by a sinusoidal signal with higher frequency. The reason why we do this is that signals with different frequencies do not mix and can be separated. Therefore hundreds of people can talk on the mobile phone, at the same time in the same location. Because, each one of us has his voice signal multiplied by a different sinusoidal frequency. The modulated voice signal going out of your mobile phone is represented with a voltage signal [assuming your voice signal is sinusoidal to case the modelling] given by v = [V. + Vmsin(@mt)]sin(@.t). Where V, = carrier amplitude or the amplitude of the high frequency signal, Vm = modulating signal amplitude or the amplitude of your voice, wc = angular frequency of the carrier and wm = angular frequency of the voice signal. A. By calculations show that: (2 sin(@.t) + d x cos[(@. – wm)t] – d x cos[(we + wm)t]) where d (sometimes called the depth of modulation if given as a percentage).
Transcribed Image Text:Task 3: Modulation is a basic operation done in communications. It simply means that we multiply humans' voice signal by a sinusoidal signal with higher frequency. The reason why we do this is that signals with different frequencies do not mix and can be separated. Therefore hundreds of people can talk on the mobile phone, at the same time in the same location. Because, each one of us has his voice signal multiplied by a different sinusoidal frequency. The modulated voice signal going out of your mobile phone is represented with a voltage signal [assuming your voice signal is sinusoidal to case the modelling] given by v = [V. + Vmsin(@mt)]sin(@.t). Where V, = carrier amplitude or the amplitude of the high frequency signal, Vm = modulating signal amplitude or the amplitude of your voice, wc = angular frequency of the carrier and wm = angular frequency of the voice signal. A. By calculations show that: (2 sin(@.t) + d x cos[(@. – wm)t] – d x cos[(we + wm)t]) where d (sometimes called the depth of modulation if given as a percentage).
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