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With reference to the discrete spectra of a signal, v (t) = [A sin(2 f t)] [B sin(2 fe t)], determine the following: (i)

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With reference to the discrete spectra of a signal, v (t) = [A sin(2 f t)] [B sin(2 fe t)], determine the following: (i) (ii) (iii) (iv) (v) Fig. P9 Discrete spectra of the signal, vo(t) and the bandwidth (BW in Hz) of the spectrum Associated total rms power (S in watt) in the discrete voltage components of the signal dissipated in a load of R, ohm. Channel capacity, C bits/s (bps) associated with this signal transmission, if an additive noise of power level, N watts incurs at a temperature TK. [N watts = kB (J/K)x TK x BW in Hz]; kB = Boltzmann constant = 1.37 x 10-23 J/K. (Use Hartley-Shannon law: C = BW x log (1 + S/N) bps); Logarithmic base changing formula: log2(x) = [loge(x)/log.(2)]) Express the SNR associated with the signal v(t) in dB If the signal v(t) corresponds to an input, x(t) to a system shown in Fig. P9, what is the SNR (in ratio) of the output, y(t), given that the noise figure of the system is NF dB. 0.5 Input: x(t) Assume the values in the Data Table as listed below: Data Table A volt B volt f, in Hz fe in Hz ToK 2 1001000 999000 1000 (i) (ii) Discrete spectra S: Total rms power (W) 0.01 System Output: y(t) 1000000 290 (iii) Cbps Ro in NF ohm dB 50 3 (iv) (SNR) dB SNR of y(t) ratio 100321.2 150.99 6.30742E+14

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To determine the required values well use the given formulas and the provided data Lets calculate each value step by step i Discrete spectra of the signal vt and the bandwidth BW in Hz of the spectrum ... blur-text-image

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