IEEE Solid-State Circuits Magazine - Winter 2018 - 61

Gated Ring Oscillator TDC
Phase Error[1]
Ring Oscillator

Phase Error[2]

div(t )

Enable

ref(t )
Osc(t )

ref(t )

Reset
Logic

div(t )

Count[k ]

Counter
Count[k ]
Register
e [k ]

Quant.
Error[k ]

q [1]

q [2]

-q [0]
e [k ]

-q [1]
3

4

Hold the State of the Oscillator Between Measurements
The Quantization Noise Becomes First-Order Noise Shaped
>>> Averaging Improves the Resolution!

M. Perrott, ISSCC 2005 Tutorial
Willy Sansen 0415462

An example of a time-to-digital converter.

nanometer processes than the conventional one.
The second day followed with
lectures focused on high-speed comparators, the design of crystal oscillators, voltage-controlled oscillators,
and low-noise amplifiers. The day
was summarized with a presentation of high-speed synthesizers and
phase-locked loops. Sansen referred
to many real circuit examples while
pointing out their advantages and
disadvantages.
During the lectures, excellent
e x amples of electronics in modern
nanometer technologies were de monstrated with different tricks
allowing for mitigation problems
like low intrinsic gain or limited
voltage headroom. He also showed
contemporary trends in electronic
design such as shift from voltage to
time domain. Through the instruction of Sansen, it was con firmed
that an analog design is still a combination of science and art. This
short course gave young research-

Complex Plane for Three-Point Oscillator
Im
-Rs
A

0
gm = 0

1

Im0 ≈ -

2p
ImA = -
≈ Im0
ωsCs

gmmax

∅=

B

C1

Re

ω (C3 +

gm

C2

C3

1
ωC3

gm = ∞

1 + C3

C1C2
C1 + C2

)

1
C1 + C2

C3

C1C2

Im∞ ≈ -

-
+

1
ωC3

Ref. Vittoz,.., JSSC June 88, 774-783
Willy Sansen 0415461

Three-point oscillator analysis.

ers and students the opportunity to
get acquainted with advanced techniques for the electronic design in
modern nanometer process with

the view on the last changes in de sign approaches.
-Pawel Grybos
Chapter Chair, SSCS Poland

IEEE SOLID-STATE CIRCUITS MAGAZINE

w i n t e r 2 0 18

61



Table of Contents for the Digital Edition of IEEE Solid-State Circuits Magazine - Winter 2018

Contents
IEEE Solid-State Circuits Magazine - Winter 2018 - Cover1
IEEE Solid-State Circuits Magazine - Winter 2018 - Cover2
IEEE Solid-State Circuits Magazine - Winter 2018 - Contents
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IEEE Solid-State Circuits Magazine - Winter 2018 - Cover3
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