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Jitter vs SNR for ADCs TIPL 4704

Created by Thomas Neu Presented by Thomas Neu

1 Sampling Theory

High-speed ADC uses external clock Higher input are more input to sample the analog input . susceptible to timing uncertainty Sampling Clock

Sampling jitter is combination of: 2 2 TJitter  TJitter,ext   TAperture _ ADC  • External jitter • Internal ADC aperture jitter

ADC Aperture Jitter Clock dependent SNR Impact of Jitter (1)

The ADC SNR degradation due to jitter (external + internal ADC aperture) can be calculated as:

SNRJitterdBc  20log(2  fin TJitter)

110 0.05 ps 0.1 ps 100 0.2 ps 0.4ps

90

80 SNR (dBc) SNR 70

60

50 10 100 1000 Fin (MHz) SNR Impact of Jitter (2)

The ADC floor (SNR) is basically set by 3 different contributors: 1. ADC Quantization Noise 2 2 2  SNR   SNR   SNR    Quantizatoin Noise    Thermal Noise    Jitter  2. ADC Thermal Noise 20 20 20 SNRADC dBc  20 log 10   10   10        3. Jitter degradation      

100

90

80

SNR (dBc) 70

60

50 10 100 1000 Fin (MHz) Calculating the jitter magnitude (1)

The clock jitter is calculated by integrating the of the .

Clock = 122.88MHz Lower integration limit: 0 60Hz to 40MHz Typically application specific. -20 Tj = 350fs -40 500Hz to 40MHz -60 Tj = 50fs

-80

-100

-120

-140

-160

-180 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07 1.E+08 Offset Frequency (Hz) Calculating the jitter magnitude (2) Clock Frequency = 122.88MHz

Upper integration limit: The upper limit is set by factors like • Clock filter bandwidth • ADC clock input bandwidth • ADC sampling rate

ADS54RF63 @ Fin = 1GHz, Fs = 122.88Msps with added noise on clock input

0 No LPF 300MHz LPF -20 100MHz LPF 1MHz LPF -40

-60

-80

-100

-120 0 102030405060 SNR impact in frequency domain

During the sampling process the clock signal phase noise gets added to the input signal.

• The higher the input signal the larger the phase noise amplitude (scales by 20log (FIN/FS)) • The larger (worse) the clock phase noise, the worse the ADC degradation

Input signal Clock jitter (phase noise)

ADC thermal noise

Higher input frequency & larger jitter amount Why is clock jitter/phase noise so critical?

A typical receiver use case is performance in a ‘blocking condition’ • The receiver needs to detect a small wanted signal • There is a large in-band interferer that can’t be filtered out.

Wanted Signal Interferer

Clock Phase Noise

ADC thermal noise How to maximize the jitter performance?

There are several steps the system designer can take in order to maximize the SNR performance of a given ADC: • Use low jitter/phase noise clock source • Use bandpass filter with low insertion loss to limit broad band noise degradation • Ensure clock amplitude is sufficient and doesn’t degrade ADC aperture jitter © Copyright 2017 Texas Instruments Incorporated. All rights reserved.

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