Analogue telecommunications modulations - example

AI Thread Summary
The discussion focuses on the task of analyzing a block diagram for the simultaneous transfer of two telegraphic signals using specific carrier frequencies. The signals are modulated and filtered, with the requirement that the logarithmic ratio of the median power of the main signal to the parasitic components equals 40dB. Participants express confusion about applying amplitude, phase, and frequency modulation concepts to the problem. The final calculated attenuation of the filter in the stop band is 19.5 dB. The conversation highlights the complexities of signal processing and the challenges in visualizing filter characteristics.
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Here is my task (Basics of analogue telecommunications):

Block diagram of device for simultaneous transfer of two telegraphic signals u1(t) and u2(t) is shown on image 1. Both signals have waveform as periodioc signal um(t) on image 2. Frequencies f1 and f2 of carriers $$u_{01}(t)=U_0 cos(\omega_1 t)$$ and $$u_{02}(t)=U_0 cos(\omega_2 t)$$ are choosen so f2=f1+120Hz.
For good transfer of telegraphic signal through one channel it is enough to transfer components in range of 80Hz around frequency of carrier. For that purpose, bandpass filter in first channel has attenuation characteristic as in image 3. Characteristic of attenuation of filter in second channel has same shape, only it is shifted to right for 120Hz.
Because of finite attenuation of filter in stop band, signal u(t) contains unwanted products of modulation, some of which fall from one channel in bandpass of second channel. If condition is that logarithmic ratio of median power of whole signal and median power of parasitic components in one channel equals 40dB, calculate attenuation of filter, a[dB], in stop band.

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Any suggestion?
We are studying amplitude, phase and frequency modulations now. Although I'm familiar with basic concepts, I don't know how to apply it here.
I wrote signal um(t) in terms of Fourier series. x1(t) would be Fourier series of um(t) times carrier u01(t), and x2(t) would be Fourier series of um(t) times carrier u02(t).
Final result is a = 19.5 dB
 
Hello.
I didn't make any progress in solving this problem.
 
Fig 3 represents a bandpass filter, so we are told, meaning upwards represents greater attenuation. (I think I'd prefer it drawn upside down.) When your squarewave is filtered, some of its harmonics will lie outside its filter's passband yet within the finite attenuation region of the other signal's filter.

That's how I'd summarize the problem, as I read it.
 
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