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Sec. 4–16 Transmitters and Receivers 295<br />

|V LO (f)|<br />

|V in (f)|<br />

|H 1 (f)|<br />

Image attenuation<br />

–1,760 –1,305 –850<br />

f<br />

f c = 850 f LO = 1,305 f image = 1,760 kHz<br />

455 kHz 455 kHz<br />

910 kHz<br />

Figure 4–30<br />

Spectra of signals and transfer function of an RF amplifier in a superheterodyne receiver.<br />

From Fig. 4–30, it is seen that the image response will usually be reduced if the IF frequency<br />

is increased, since f image will occur farther away from the main peak (or lobe) of the RF filter<br />

characteristic, |H 1 ( f)|.<br />

Recalling our earlier discussion on mixers, we also realize that other spurious responses<br />

(in addition to the image response) will occur in practical mixer circuits. These must also be<br />

taken into account in good receiver design.<br />

Table 4–4 illustrates some typical IF frequencies that have become de facto standards.<br />

For the intended application, the IF frequency is low enough that the IF filter will provide<br />

good adjacent channel signal rejection when circuit elements with a realizable Q are used;<br />

yet the IF frequency is large enough to provide adequate image-signal rejection by the RF<br />

amplifier filter.<br />

The type of detector selected for use in the superheterodyne receiver depends on the<br />

intended application. For example, a product detector may be used in a PSK (digital) system,<br />

and an envelope detector is used in AM broadcast receivers. If the complex envelope g(t) is desired<br />

for generalized signal detection or for optimum reception in digital systems, the x(t) and<br />

y(t) quadrature components, where x(t) + jy(t) = g(t), may be obtained by using quadrature<br />

TABLE 4–4<br />

SOME POPULAR IF FREQUENCIES IN THE UNITED STATES.<br />

IF Frequency<br />

Application<br />

262.5 kHz AM broadcast radios (in automobiles)<br />

455 kHz AM broadcast radios<br />

10.7 MHz FM broadcast radios<br />

21.4 MHz FM two-way radios<br />

30 MHz Radar receivers<br />

43.75 MHz TV sets<br />

60 MHz Radar receivers<br />

70 MHz Satellite receivers

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