physics-class-12-unit-15-chapter-01-basics-of-electronic-communication-systems-modulation-l-1-sithvsluuh0

<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Transmitter</B></Primary></p>
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<li><strong>Information</strong></li>
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<p>$\rightarrow$ Voice $\qquad \qquad  \rightarrow$ Picture</p>
<p>$\rightarrow$ Video $\qquad \qquad  \rightarrow$ Data file</p>
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<li><strong>Transmission of voice</strong></li>
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<p>20 - 20,000 Hz</p>
<p>frequency rage for human ear</p>
<p>20 - 20,000 Hz</p>
<p>3000 Hz</p>
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Communication$\to$<span style="color:blue">Transmitter</span>$\to$Modulation$\to$Amplitude modulation$\to$Equation of modulated wave$\to$Amplitude modulated wave
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<p>======</p>
<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Transmitter</B></Primary></p>
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<p>Speed = Frequency $\times$ wave length</p>
<p>v = $\nu \times \lambda$</p>
<p>v = 3 $\times 10^8 m/s$</p>
<p>$\lambda$ = ?</p>
<p>$3 \times 10^8 = 3 \times 10^3 × \lambda $</p>
<p>$ \lambda = 10^5$ meter</p>
<p>= $100$ km</p>
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Communication$\to$<span style="color:blue">Transmitter</span>$\to$Modulation$\to$Amplitude modulation$\to$Equation of modulated wave$\to$Amplitude modulated wave
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<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Modulation</B></Primary></p>
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<p>Modulation is mising of information signal with a carriar signal</p>
<p>Carrier signal can be equation mathematicaly</p>
<p>$E = E_ 0 \sin (\omega t) , E = E_0 \sin (\omega t + \phi)$</p>
<p><strong>Additional phase</strong></p>
<p>(i) If the amplitude of the carrier is modified in accordance with the information signal (modulative signal)</p>
<p><strong>Amplitued modulations</strong></p>
<p>(ii) If the frequency of the carrier is modified in accordance with the information signal</p>
<p><span style="color:red">Dimension of antena $=\frac{\lambda}{4}$ = 75 meter</span></p>
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<p><img alt="image" src="/subject-images/iitpal/image/physics-class-12-unit-15-chapter-01-basics-of-electronic-communication-systems-modulation-l-1-sithvsluuh0-122-2060.4.jpg"></p>
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Communication$\to$Transmitter$\to$<span style="color:blue">Modulation</span>$\to$Amplitude modulation$\to$Equation of modulated wave$\to$Amplitude modulated wave
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<p>======</p>
<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Modulation</B></Primary></p>
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<p><strong>Frequency modulations</strong></p>
<p>(iii) If the phase of the carrier is modified in accordiance with the information singal Let us suppose that the frequency of carrier signal is ~ MHz and 1 MHz = $10^6$ Hz</p>
<p>Speed = frequency $\times$ wavelength $\Rightarrow 3 \times 10^8 = 10^6 \times \lambda$</p>
<p>$\lambda = 300$ meter</p>
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Communication$\to$Transmitter$\to$<span style="color:blue">Modulation</span>$\to$Amplitude modulation$\to$Equation of modulated wave$\to$Amplitude modulated wave
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<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Amplitude modulation</B></Primary></p>
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<p>Ampitude of carrier wave will be modified in accordance with information singnal.</p>
<p><span style="color:green">Carrier wave</span></p>
<p>$C = C_0 \sin (\omega_c t)$ $\quad \quad $ <span style="color:red">$C_0$ = amplitude , $\quad$ $\omega_c$ = angular frequency</span></p>
<p><span style="color:blue">Modulating (information) wave</span></p>
<p><span style="color:blue">M = $M_0 \sin (\omega_m t)$</span></p>
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Communication$\to$Transmitter$\to$Modulation$\to$<span style="color:blue">Amplitude modulation</span>$\to$Equation of modulated wave$\to$Amplitude modulated wave
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<p>======</p>
<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Equation of modulated wave</B></Primary></p>
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<p>The equation of modulated wave will be</p>
<p>$C_m = (C_0 + M) sin (\omega_c t) \quad \quad  [ \because (C_0 + M)=$<span style="color:red">Change amplitude</span>]</p>
<p>$=[C_0 + M_0 \sin (\omega_m t)] \sin (\omega_c t) \quad \Rightarrow C_0\sin (\omega_c t) + M_0 \sin (\omega_c t) \sin (\omega_c t)$</p>
<p>$=C_0\sin (\omega_c t) + C_0 \frac{M_0}{c_0} \sin (\omega_c t) \sin (\omega_c t)$ $\quad [\frac{M_0}{c_0}$ = Modulation index]</p>
<p>$C_m=C_0\sin (\omega_c t) + C_0\mu \sin (\omega_c t) \sin (\omega_m t) \quad \quad [\therefore \mu = \frac{M_0}{c_0}]$</p>
<p>sin (a) sin (b) = $\frac{1}{2}$ [cos (a - b) - cos (a + b)]</p>
<p>$C_m=C_0\sin (\omega_c t) + \frac{c_0}\mu{2}\cos [(\omega_c - \omega_m)t] - \frac{c_0}\mu{2}\cos [(\omega_c + \omega_m)t]$</p>
<p>Electric filed of amplitude mudulated carrier wave</p>
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Communication$\to$Transmitter$\to$Modulation$\to$Amplitude modulation$\to$<span style="color:blue">Equation of modulated wave</span>$\to$Amplitude modulated wave
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<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Amplitude modulated wave</B></Primary></p>
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<p>Rage of frequency of amplitude modulated wave</p>
<p>$=(\omega_c +\omega_m)-(\omega_c-\omega_m)$
= $2\omega_m$</p>
<p>(i) When amplitude of carrier wave is larger than modulating wave</p>
<p>$A_m = \frac{1}{2} A_c$</p>
<p>Amplitude of modulating wave = $\frac{1}{2}$ amplitude of carrier wave</p>
<p>Modulation index = $\frac{A_m}{A_c}=\frac{1}{2}$ = 0.5</p>
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Communication$\to$Transmitter$\to$Modulation$\to$Amplitude modulation$\to$Equation of modulated wave$\to$<span style="color:blue">Amplitude modulated wave</span>
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<p>======</p>
<p><Success style="float:center;text-align:center;font-size:28px;" ><B>Basics of Electron Communication Systems Modulation</B></Success></p>
<p><Primary style="float:center;text-align:center;font-size:24px;"><B>Amplitude modulated wave</B></Primary></p>
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Communication$\to$Transmitter$\to$Modulation$\to$Amplitude modulation$\to$Equation of modulated wave$\to$<span style="color:blue">Amplitude modulated wave</span>
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