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In most applications, filtering after the mixer determines which of these products is used. If the two inputs are multiplied and are sinusoidal:
: then:
: Thus an ideal multiplier produces only sum and difference components, and a following filter selects the desired output. In a superheterodyne receiver, one input is the RF signal and the other is the local-oscillator; the selected output is the intermediate frequency. Desirable mixer characteristics in this application include low local-oscillator feedthrough, linear conversion

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