A block diagram and a phasor diagram of an angle modulated communication system are shown in...

 

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A block diagram and a phasor diagram of an angle modulated communication system are shown in the figures. The additive white Gaussian noise n (t) is added to the modulated signal u(t) and the result is passed through a noise- limiting filter (the bandpass filter) whose role is remove the out-of-band noise, and therefore, it passed the modulated signal without distortion. However, it eliminates the out-of band noise and hence, the noise output of the filter is a bandpassed Gaussian noise denoted by n(t) = V₂(t) cos(2pfet + D₂(t)), where V₂(t) and (t) represent the envelope and the phase of the bandpass noise process, respective. The assumption that the signal (magnitude of the carrier) is much larger then the noise means that p(V₂(t)<<A) = 1. a. Write the equation of the angle modulated signal u(t) versus the given parameters in the phasor diagram? (i.e. Ac. ₂(t). Vn(t). (t), etc.) b. Derive the formula of r(t) versus the given parameter in the given phasor diagram? u(t) + n(t) Im 4 BW=B Bandpass filter $(1) r(t)=u(t) + n(t) 1 Angle y(t) demodulator -6(1) (1) BW=W Lowpass filter V₁(f) sin ($(t)-(1)) V(t) cos (P(1) -(t)) Re A block diagram and a phasor diagram of an angle modulated communication system are shown in the figures. The additive white Gaussian noise n (t) is added to the modulated signal u(t) and the result is passed through a noise- limiting filter (the bandpass filter) whose role is remove the out-of-band noise, and therefore, it passed the modulated signal without distortion. However, it eliminates the out-of band noise and hence, the noise output of the filter is a bandpassed Gaussian noise denoted by n(t) = V₂(t) cos(2pfet + D₂(t)), where V₂(t) and (t) represent the envelope and the phase of the bandpass noise process, respective. The assumption that the signal (magnitude of the carrier) is much larger then the noise means that p(V₂(t)<<A) = 1. a. Write the equation of the angle modulated signal u(t) versus the given parameters in the phasor diagram? (i.e. Ac. ₂(t). Vn(t). (t), etc.) b. Derive the formula of r(t) versus the given parameter in the given phasor diagram? u(t) + n(t) Im 4 BW=B Bandpass filter $(1) r(t)=u(t) + n(t) 1 Angle y(t) demodulator -6(1) (1) BW=W Lowpass filter V₁(f) sin ($(t)-(1)) V(t) cos (P(1) -(t)) Re

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To answer the question lets analyze the given block and phasor diagrams step by step a Equation of t... View the full answer