AMPLITUDE MODULATION 1. DEFINING AM • A carrier frequency whose amplitude is varied in proportion to the instantaneous amplitude of a modulating voltage 2. GENERATING THE AM nonlinear device: diode or transistor biased in its nonlinear region TVS, By Ya Bao 1 TVS, By Ya Bao 2 3. ANALYSIS OF THE AM WAVE vc Vc sin 2f c t m m v Vc sin 2f c t Vc cos 2 ( f c f s )t Vc cos 2 ( f c f s )t 2 2 TVS, By Ya Bao 3 TVS, By Ya Bao 4 4. Different Carriers and AM Carriers are spaced at 20 kHz, beginning at 100kHz. Each carrier is modulated by a signal with 5kHz bandwidth. Is there interference from sideband overlap? TVS, By Ya Bao 5 5. MODULATION INDEX AND SIGNAL POWER Vm Vmax Vmin m Vc Vmax Vmin TVS, By Ya Bao 6 Moduiation Index and Power 2 carr 2 V 2 c (Vc / 2 ) V Pc R R 2R PLSB PUSB 2 Vc m 2R 4 2 C 2 2 2 PT m 2( 1) PC V m m PT (1 ) Pc (1 ) 2R 2 2 PT m 1 Pc 2 TVS, By Ya Bao 7 Current Calculations 2 IT m 1 Ic 2 Example A carrier of 1000 W is modulated with a resulting modulation index of 0. 8. What is the total power? What is the carrier power if the total power is 1000 W and the modulation index is 0.95? TVS, By Ya Bao 8 6. SUPPRESSED CARRIERS AND SINGLE SIDEBAND (SSB) 6.1 Signal Magnitudes and Ranges decibel (dB) PI dB 10log PO 2 I 2 O V VI dB(for volts) 10log 20log V VO TVS, By Ya Bao 9 The dB gain is Ratio 1 10 100 1,000 10,000 TVS, By Ya Bao Power (dB) 0 10 20 30 40 Voltage (dB) 0 20 40 60 80 10 dB REFERENCE VALUES • dBm (reference is 1 mW), • dBV (reference is 1 V), • dBW (reference is 1 W). • Example: A signal of 200 mW could be expressed in dBm as An audio amplifier might have an output of 7 dBW. This corresponds to A signal of 8.2 V corresponds to TVS, By Ya Bao 11 6.2 Double Sideband Suppressed Carrier (DSBSC) When the carrier is reduced, this is called doublesideband suppressed-carrier AM, or DSB-SC. If the carrier could somehow be removed or reduced, the transmitted signal would consist of two informationbearing sidebands, and the total transmitted power would be information TVS, By Ya Bao 12 • For a 100-W total available power, compare the power in the sidebands when modulation is standard AM with a modulation index of 100%, versus a suppressed carrier design where 90% of the carrier power is suppressed. How many times greater is the sideband power in the suppressed carrier case? • A 500-W DSB-SC system with 100% modulation suppresses 50% of the carrier, and the suppressed carrier power goes to the sidebands. How much power is in the sidebands, and how much is in the carrier? By how many dB has the sideband power increased? TVS, By Ya Bao 13 6.3 Single-Sideband (SSB) • suppressing the carrier and one of the sidebands TVS, By Ya Bao 14 TVS, By Ya Bao 15 6.4 Filtering the SSB LSB or USB • Dual Conversion: up-converting the modulating frequency twice and selecting the upper or lower sideband for transmission. TVS, By Ya Bao 16 7. Filtering the SSB LSB or USB Their quality or "Q" factor: A filter is said to have a high Q if it selects or rejects a narrow range of frequencies compared with its centre frequency. Q is defined as centre frequency fo/3dB bandwidth. Type of LC filters ceramic mechanical crystal the filters Order of Qs 200 TVS, By Ya Bao 2000 10,000 50,000 17 Dual Conversion up-converting the modulating frequency twice and selecting the upper or lower sideband for transmission. TVS, By Ya Bao 18 8. VESTIGIAL SIDEBAND • In VSB, a portion (or vestige) of the lower sideband is transmitted along with the full carrier power and upper-sideband content. TVS, By Ya Bao 19 AM: Features and Drawbacks: the AM signal is greatly affected by noise impossible to determine absolutely the original signal level conventional AM is not efficient in the use of transmitter power AM is useful where a simple, low-cost receiver and detector is desired The noise is either not a problem or can be tolerated in the application. TVS, By Ya Bao 20