Please solve the problems 1,2,3.

There is a receiver that demodulates the DSB-SC modulated signal Sm(t) = m(t)cos(24 fet +0+) using a synchronous detector. The carrier recovery circuit of the receiver generates cos(2n fet + 0,). After multiplying this sine wave by Sm(t), it passes through a low-pass filter. 1. If the message signal is m(t) = 2A(t) 1, find the receiver's lowpass filter output and draw the receiver's lowpass filter output. 2. If the carrier generated by the carrier recovery circuit has a 30' phase error, obtain the filter output. 3. Find the range of phase error de = 04 - Or that makes the amplitude of the demodulated signal more than 90% of the maximum possible value. There is a receiver that demodulates the DSB-SC modulated signal Sm(t) = m(t)cos(24 fet +0+) using a synchronous detector. The carrier recovery circuit of the receiver generates cos(2n fet + 0,). After multiplying this sine wave by Sm(t), it passes through a low-pass filter. 1. If the message signal is m(t) = 2A(t) 1, find the receiver's lowpass filter output and draw the receiver's lowpass filter output. 2. If the carrier generated by the carrier recovery circuit has a 30' phase error, obtain the filter output. 3. Find the range of phase error de = 04 - Or that makes the amplitude of the demodulated signal more than 90% of the maximum possible value