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Tutorial7 - EE 3008 AM Tut Questions 1 A modulating signal...

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EE 3008. AM Tut. Questions 1. A modulating signal f(t) [with Fourier transform F(f)] is applied to a double-sideband suppressed-carrier modulator operating at a carrier frequency of 200 Hz. Sketch the spectral density of the resulting AM- DSB-SC waveform, identifying the upper and lower sidebands, for each of the following cases. (i) f(t) = cos 100 π t (ii) < + = elsewhere 0 100 2 / )] 100 / cos( 1 [ ) ( f f f F π 2. When the input to a given audio amplifier is (4cos 800 π t + cos2000 π t) mV, the measured frequency component at 1 kHz in the output is 1 V and the ratio of the frequency component at 600 Hz to that at 1 kHz is 0.002. Represent the amplifier output-input characteristic by 2 2 1 )] ( [ ) ( ) ( t e a t e a t e i i o + = (i) Evaluate the numerical values of a 1 , a 2 , from the test data given. (This type of test is called an inter-modulation distortion test.) (ii) What would you expect to be the magnitudes of the frequency component at 800 Hz and at 1400 Hz?

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3. Two AM systems are compared. In System 1 the signal f 1 (t) = mcos2 π f m t is applied to the input of an AM-DSB-SC modulator and then a carrier
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