GATE EC 2016 Set 1 — Question 32
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Communications → Analog Communications → Superheterodyne Receiver
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Question
A superheterodyne receiver operates in the frequency range of . The intermediate frequency and local oscillator frequency are chosen such that . It is required that the image frequencies fall outside the band. The minimum required (in MHz) is ________
Correct answer
4.9 to 5.1
Solution
Given the signal frequency range .
The image frequency is given by .
For the image frequency to fall outside the signal band , it must satisfy either or for all in the range.Case 1: (High-side injection)
To ensure for all , we check the minimum value of :
.Case 2: (Low-side injection)
To ensure for all , we check the maximum value of :
.In both cases, the minimum required intermediate frequency is .
The image frequency is given by .
For the image frequency to fall outside the signal band , it must satisfy either or for all in the range.Case 1: (High-side injection)
To ensure for all , we check the minimum value of :
.Case 2: (Low-side injection)
To ensure for all , we check the maximum value of :
.In both cases, the minimum required intermediate frequency is .
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