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Let be a real-valued signal for which when . Amplitude modulation is preformed to produce the signal . A proposed demodulation technique is illustrated below where is the input, is the output and the ideal low-pass filter has a cutoff frequency of and a passband gain of 2. Determine . x(t) X(jω) = 0 g(t) = x(t)sin(2000πt) g(t) y(t) 2000π y(t) EENG 311: Signals and Systems Page 7 of 8 × lowpass filter y(t) cos(2000πt) g

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Answer:

hello your question is incomplete attached below is the complete question

answer : attached below

Explanation:

let ; x(t)  be a real value signal for x ( jw ) = 0 , |w| > 200[tex]\pi[/tex]

g(t) = x ( t ) sin ( 2000 [tex]\pi t )[/tex]

[tex]x_{1} (t) = \frac{1}{2} x(t) sin ( 4000\pi t )[/tex]

next we apply Fourier transform

attached below is the remaining part of the solution

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