A Binomial Congruence by Mike Swarbrick Jones

By Mike Swarbrick Jones

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1, a FS performs operations of multiplication or division on the reference input frequency to generate its required outputs. This is done via true multipliers, mostly in radio 39 40 Chapter Two frequency (RF) and microwave circuits, digitally in DDS applications, PLL, and analog or digital dividers. We will examine the effect of these devices on the output spectra. Consider the case of a sine wave sin co^? corrupted by a small spurious signal er sin cog^. ] Since we assumed er « 1, the other higher-order terms are negligible.

001 radian rms. Similar jitter will be caused by a noise spectrum that is flat from 6 kHz to 11 kHz with a level o{L(fJ= -100 dBC/Hz; this noise will have a total power of 2#5000«10"^^ = 10"^, which is -60 dB. Since the total power is the same, the overall jitter will be the same. 4 olB STATUS! 48 dB STOPs 10 0^0 Hz Figure 2-3 Phase noise with Hnear and log offset frequency.

A comb generator is used to generate a comb spectra line, in this example 50 MHz apart, and a free-running VCO and a bandpass filter (BPF) are used to output only one line at a time. In the example, the VCO will be tuned to 2000 MHz to output 500 MHz. If the VCO is tuned to 2050 MHz, the output will be 550 MHz; the VCO tuned to 2100 generates 400 MHz; and so on. Note that the mathematical operation here is Introduction to Frequency Synthesis 25 (F. comb line vco The VCO serves an auxiliary function and cancels itself.

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