IEEE Solid-State Circuits Magazine - Fall 2017 - 12

t=0

√L /2 iL(t )

+
C

vc (t )

iL (t )

L

R

-
√C /2 vC (t )

Energy

(a)
Stored Energy in C
Stored Energy in L
Total Stored Energy

(b)

Time

FIGURE 5: (a) An LC circuit with a resistive
loss in parallel. (b) The stored energy in this
circuit flows back and forth between the
inductor and the capacitor, losing its value
to heat in the resistor with time.

CONTRIBUTORS

FIGURE 6: The voltage-current trajectory
of a leaky LC oscillator can be a spiral,
signifying the loss of stored energy as time
progresses.

Reference
current in the inductor. Figure 6
shows that this trajectory is a spiral,
a circle whose radius is diminishing with time, signifying the energy
loss to the resistor. A larger resistor

CHINA CON N ECTION
product lines after the integration
of international giants.
In short, the M&A activities may
look sweet at first but some of them
taste bitter. More importantly, the
acquired technology and asset may be
hard to digest.

FA L L 2 0 17

[1] R. E. Thomas, A. J. Rose, and G. J. Toussaint, The Analysis and Design of Linear
Circuits, 7th ed. New York: Wiley, 2012.

(continued from p. 3)

Payam Heydari is
a full professor of
electrical engineering at the University of
California, Irvine, and
is noted for his work
in silicon-based millimeter-wave and
terahertz IC design.

12

will sustain the oscillation longer;
the radius reduces at a slower rate.
A smaller resistor will attenuate the
oscillation faster and beyond a certain value (R # 0.5 L/C ) will not
allow any oscillation, corresponding
to the overdamped circuit behavior.
In summar y, we have claimed
that there is always a circle behind
every sinusoid. Identifying such circles may seem like reinventing the
wheel but this often leads to a new
intuition and understanding of circuit behavior.

L o n g Ya n i s w i t h
Samsung Electronics,
Korea, where he leads
analog interface circuit developments
for next-generation
biosensors.

Joonsung Bae is
with Kangwon Nati onal University,
where he is an assistant professor in the
Department of Electrical and Electronics Engineering.

(continued from p. 9)

References

[1] IC Insights. (2017). Value of semiconductor industry M&A deals slows dramatically in 1H17. [Online]. Available: http://
w w w.icinsights.com/news/ bulletins/
Va l u e - O f- S e m i c o n d u c t o r - I n d u s t r y MA-Deals-Slows-Dramatically-In-1H17-/
[2] CCIDWISE. (2017). Six trends of semiconductor industry In 2017 [Online]. Available: https://wenku.baidu.com/view/5ac

IEEE SOLID-STATE CIRCUITS MAGAZINE

4ef2d4531b90d6c85ec3a87c24028905f85
4a.html
[3] Business Wire. (2017). Shanhai Capital
completes acquisition of analogix  semiconductor [Online]. Available: http://
w w w.businessw ire.com/news/
home/20170 406006025/en/Sha n ha iCapital-Completes-Acquisition-AnalogixSemiconductor
http://http:// http://http:// http://www.icinsights.com/news/bulletins/ https://wenku.baidu.com/view/5ac
Table of Contents for the Digital Edition of IEEE Solid-State Circuits Magazine - Fall 2017
