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Chapter 17: Problem 4

An FM receiver is tuned to w transmitted frequency of \(97.2 \mathrm{MHz}\). What is the LO frequency?

Short Answer

Expert verified
The LO frequency for the given FM receiver tuned to \(97.2 \mathrm{MHz}\) is \(86.5 \mathrm{MHz}\).

Step by step solution

01

Identifying the Given Values

We are given the transmitted frequency, which is \(97.2 \mathrm{MHz}\). We also know the typical Intermediate Frequency (IF) for FM radio receivers, which is \(10.7 \mathrm{MHz}\).
02

Calculating the LO frequency

We will now calculate the Local Oscillator (LO) frequency using the equation: LO Frequency = Transmitted Frequency 卤 IF Plugging in the given values, we get: LO Frequency = \(97.2 \pm 10.7\) MHz Now, we have two possible solutions: one for the sum and one for the difference. Let's compute both: LO Frequency = \(97.2 + 10.7 = 107.9\) MHz LO Frequency = \(97.2 - 10.7 = 86.5\) MHz However, it is essential to note that the LO frequency should be different from the value of the transmitted frequency to avoid self-oscillation and instability. Therefore, the LO frequency should be: LO Frequency = \(86.5\) MHz

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