1-5
The Effect of Timing Jitter
A/D
converter
Digital
processor
D/A
converter
Analog*
input
Analog
output
Digital
output
Digitized signal
DV
Dt
Time
Analog signal
(A)
(B)
(C)
V(t)
V(t)
* e.g., from an antenna
Digital Processing of Analog Signals
   As microprocessor and digital signal processing (DSP) chips become more and more capable, the digital processing of analog signals, as illustrated in (A) above, becomes more and more advantageous and feasible.  Among the advantages of digital (vs. analog) processing are that, in digital systems, many functions may be integrated on a chip (e.g., filtering, differentiation, integration, linearization, modulation, and computation), systems can be easily and inexpensively duplicated and reprogrammed, and systems do not depend on strict component tolerances.
   Before an analog signal can processed, however, the signal must be converted into digital form.  An analog-to-digital (A/D) converter (also abbreviated ADC) samples the analog signal at (usually) equal intervals of time, and converts the analog signal into a sequence of digitized values (i.e., the analog signal is sampled, measured, then converted into quantized numerical values), as illustrated in (B) above.
   One of the sources of error in ADCs is jitter, i.e., the uncertainty in the time the signal was sampled.  As shown in (C), an error t in the time of the sampling causes an error V in the measured value of the signal. The higher the resolution (number of bits) and the speed of the ADC, the smaller the allowable jitter. At GHz frequencies, some 16 bit ADC clock jitter requirements are a few femtoseconds.
   Phase noise of the oscillator that drives the clock is one of the sources of timing jitter. The oscillator’s contribution to jitter is the integral of the phase noise, L(f), usually from 10 Hz to ~30 MHz.


J. A. Wepman, “Analog-to-Digital Converters and Their Applications in Radio Receivers,” IEEE Communications Magazine, pp. 39-45, May 1995.

R. J. Lackey and D. W Upmal, “Speakeasy: The Military Software Radio,” IEEE Communications Magazine, pp. 56-61, May 1995.