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Dual-modulus prescaler
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Dual-modulus prescaler : ウィキペディア英語版
Dual-modulus prescaler

A dual modulus prescaler is an electronic circuit used in high-frequency synthesizer designs to overcome the problem of generating narrowly spaced frequencies that are nevertheless too high to be passed directly through the feedback loop of the system. The modulus of a prescaler is its frequency divisor. A dual-modulus prescaler has two separate frequency divisors, usually M and M+1.
==The problem==
A frequency synthesizer produces an output frequency, fo, which divided by the modulus is the reference frequency, fr:
\frac = f_r \Rightarrow f = Nf_r
The modulus, N, is generally restricted to integer values, as the comparator will match when the waveform is in phase. Typically, the possible frequency multiples will be the channels for which the radio equipment is designed for, so fr will usually be equal to the channel spacing. For example, on narrow-band radiotelephones, a channel spacing of 12.5 kHz is typical.
Suppose that the programmable divider, using N, is only able to operate at a maximum clock frequency of 10 MHz, but the output fo is in the hundreds of MHz range; . Interposing a fixed prescaler, which can operate at this frequency range, with a value M of say, 40, drops the output frequency into the operating range of the programmable divider. However, a factor of 40 has been introduced into the equation, so the output frequency is now:
f_o = 40Nf_r
If fr remains at 12.5 kHz, only every 40th channel can be obtained. Alternatively, if fr is reduced by a factor of 40 to compensate, it becomes 312.5 Hz, which is much too low to give good filtering and lock performance characteristics. It also means that programming the divider becomes more complex, as the modulus needs to be verified so that only those that give true channels are used, not every 1/40th of a channel that is available.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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