Friday, 21 June 2013

EXAMPLE ON SUPER HETERODYNE RECEIVER



In a broad cast super hetero dyne receiver having no RF amplifier, the load Q of the antenna coupling circuit is 100. If the IF frequency is 455 KHz, determine
A) The image frequency and its rejection ratio for tuning at 1.1 KHz station.
B) The image frequency and its rejection ratio for tuning at 25 MHz station.
Solution
Given   IF frequency is 455 KHz
            Quality factor Q = 100
a)                     fS = 1.1 KHz
                      Image frequency fSi  = fS + 2 fi
                                                   = 1100 +( 2 * 455 )
                                                   = 2010 KHz
ρ = (fSi/fS) – (fS/fSi)
                                       = (2010/1100) – (1100/2010)
                                       =1.28
            Image rejection ratio   α = √( 1+ Q2 ρ2 )
                                                 = √( 1+ 1002 1.282 )
                                                 = 128
b)                     fS = 25 MHz
                      Image frequency fSi  = fS + 2 fi
                                                   = 25 MHz +( 2 * 455 )
                                                   = 25.91 MHz
ρ = (fSi/fS) – (fS/fSi)
                                       = (25.91 /25) – (25/25.91)
                                       = 0.0715
            Image rejection ratio   α = √( 1+ Q2 ρ2 )
                                                 = √( 1+ 1002 0.07152 )
                                                 = 5.22
Thus rejection is poor for practical receiver in HF band
So, we can say that it is not a major problem for standard AM receiver without an RF stage, but it causes problem at high frequencies using same intermediate frequency.
We can eliminate this problem by introducing RF stage or by increasing intermediate frequency




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