ES 442 HW # 7 - Chapter 4&5 - PLL 1- The following figure shows the block diagram of a commercial broadcast-band transmitter, called Crosby direct FM transmitter. This device includes an automatic frequency control (AFC). The output of the AFC is a correction voltage which fed back to the carrier (master) oscillator (fc) to automatically compensate for any drift that may have occurred. The transfer function of the discriminator has a gain of kd. For commercial broadcast-band station the maximum frequency deviation allowed at the antenna is 75 KHz and the maximum modulating signal frequency allowed will be fm=15KHz. a- What does the value of the DC correction voltage depend on (what is the unit of kd)? b- What is the maximum allowed frequency deviation a the output of the Frequency modulator (fc)? c- What will be the modulation index at Frequency modulator block? d- What will be the modulation index at antenna? e- Calculate fd for the configuration below. f- What is the transfer function of the discriminator, H(f)? ES 442 HW # 7 - Chapter 4&5 - PLL 2- In the lecture we discussed how to use frequency synthesizers in AM superheterodyne radio design. For this problem you are asked to design a frequency synthesizer for use as the local oscillator in an AM superheterodyne radio. The radio has a 455-kHz IF and can be tuned across the AM band from 530 kHz to 1,710 kHz in 10-kHz steps. The synthesizer uses a 1-MHz reference oscillator and generates a high-side LO (local oscillator) injection signal. In this problem you should basically find M and N values for the frequency synthesizer. Assume the frequency of the signal into the mixer of the synthesizer is 5KHz. a- Complete the table below for the specified received signal frequencies (channel 1, channel 2, etc.). b- A key component in this design is frequency multiplier. Referring to your textbook, draw the circuit diagram for a frequency multiplier and briefly explain how it operates. c- Mathematically, express the output of a general multiplier if the bandpass input signal is the following: Received signal, fc 530 KHz 540 KHz 1710 KHz LO freq., fo M N