2. (30 points) Consider the demodulator scheme illustrated in Figure 2 that contains two orthogonal local oscillators where each oscillator has a phase crror 8. The conventional amplitude modulated (AM) signal (1) = 4(1+mx({})}coses is applied to the given demodulator (@) = 2xf.). The frequency spectrum of the baseband information signal x(t) is also shown in Figure 2 and has a bandwidth of W. The bandwidth of the low pass filters (LPF) in the demodulator is equal to Was well and their corresponding gains are equal to 1. LPF AM cos(wei + 8) sin(wet+) LPF x0) --W w Figure 2 a) Write down the time domain signal expressions seen at the points A, B, C, D and E. b) Sketch the amplitude and phase spectra of the signals at points A, B, C, D and E. c) Determine the superiority of this demodulator to the classical AM demodulator with single local oscillator which has phase error 2. (30 points) Consider the demodulator scheme illustrated in Figure 2 that contains two orthogonal local oscillators where each oscillator has a phase crror 8. The conventional amplitude modulated (AM) signal (1) = 4(1+mx({})}coses is applied to the given demodulator (@) = 2xf.). The frequency spectrum of the baseband information signal x(t) is also shown in Figure 2 and has a bandwidth of W. The bandwidth of the low pass filters (LPF) in the demodulator is equal to Was well and their corresponding gains are equal to 1. LPF AM cos(wei + 8) sin(wet+) LPF x0) --W w Figure 2 a) Write down the time domain signal expressions seen at the points A, B, C, D and E. b) Sketch the amplitude and phase spectra of the signals at points A, B, C, D and E. c) Determine the superiority of this demodulator to the classical AM demodulator with single local oscillator which has phase error