SEQUENTIAL ENERGY DETECTION FOR TOUCH ... - IEEE Xplore

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SEQUENTIAL ENERGY DETECTION FOR TOUCH INPUT DETECTION. Youngchun Kim, Ahmed H. Tewfik. Nikhil Kundargi. Electrical and Computer ...
SEQUENTIAL ENERGY DETECTION FOR TOUCH INPUT DETECTION Youngchun Kim, Ahmed H. Tewfik

Nikhil Kundargi

Electrical and Computer Engineering

National Instruments

The University of Texas at Austin, Texas, USA

Austin, Texas, USA

by a single ADC. The main objective of

ABSTRACT In this paper we propose a novel detection algorithm that de­ livers impressive savings in the sensing time of the capacitive touchscreen systems using sequential energy detection meth­ ods. We also show that these savings can translate into a sig­ nificant boost to the operational battery life of today's mobile devices. We provide numerical analysis of sequential energy detection scheme, and the average sample number of mea­ surements required to decide the presence of a touch input is derived. The analysis and simulation results confirm that the proposed scheme can save at least

70%

or more computa­

tional resources for performing touch detection under realistic noise condition as compared to the conventional fixed sample size detection scheme.

Index Terms-

[3 , 5]

is to recover

exact signals by modulating the sparse input signals in fre­ quency domain using pseudo sequences. In both cases, the energy savings are achieved at sensing side, but the savings are degraded because of the recovery methods which gener­ ally require complex or iterative computations. The sequential energy detector was proposed in

sequential detection, capacitive touch screen

tension of the work, and we derive the average sample num­ bers (ASNs) of the proposed sequential scheme.

With the

extended result, relative efficiency of the proposed method shows high efficiency in touch detection problem under real­ istic SNR conditions.

2 we briefly

introduce the standard touch detection using the energy de­ tector. Section

3

presents the proposed sensing and detection

schemes and provides performance analysis. In Section

1.

for

systems. We consider the touch detection problem as an ex­

This paper is organized as follows: In Section

binary hypothesis test, energy detector,

[6]

an efficient detection of spectrum sensing in cognitive radio

4

we

present the simulation results of the proposed schemes and an

INTRODUCTION

example of applications.

The capacitive touchscreen display is one of the biggest drain on the battery of a mobile handset. In this paper we present

2.

a highly efficient touch detection scheme that can reliably de­

TOUCH DETECTION BY ENERGY DETECTOR

tect finger touches at a fraction of the energy of conventional

Signals with low SNR require averaging multiple measure­

touch detection techniques. In touch screen, as the number

ments for accurate detection.

of sensing points is increased, high power consumption or in­

capacitive touch screens,

20

creased sensing latency are expected in processing. To over­

quired to obtain

dB SNRs to detect finger touches

20

rv

30

For example, in the case of rv

100

measurements are re­

come these limitations, a fast sensing and detection scheme

using today's analog circuit technology

is required. A fast sensing circuit can be designed with in­

we monitor

creased power consumption. In addition, the circuit increases

the existence of touch signal, the detection problem can be

the hardware complexity. Thus, engineers need to consider a

modeled as a binary hypothesis testing problem: Under the

tradeoff between sensing latency and power consumption to

null hypothesis Ho, the noisy measurement of a sensor signal

meet system requirements. In mobile devices such as smart­

N

[7,8].

Suppose that

measurements on each touch nodes to decide

without touch input, and under the alternative hypothesis HI,

phones and tablet PCs, major portion of energy is consumed

the noisy measurement of a sensor signal with touch input.

in user interfaces (LCD display and touch input processing)

This hypothesis problem can be written as

[1]. For accurate detection and better user interface, energy

Ho

efficient sensing and detection schemes are necessary with where

manage multiple sensor inputs. Compressed Sensing (CS) based systems use fewer num­ ber measurements than the standard sampling strategy

[2-4].

However, the CS based method requires a specially designed modulation circuit for measurement. In

978-1-4673-6997-8/15/$31.00 ©2015 IEEE

;r(t)

=

v(t),

HI

:

;r(t)

=

s(t) + v(t),

denotes a unknown touch signal,

v(t)

(1)

is a noise

process that is modeled as a discrete time zero-mean white Gaussian noise with covariance The event signal

Ev

E[v(t)v(s)]

=

EvOk,l

with

Ok,I' s(t) could be either a deterministic or a ran­

noise power density

[5] , the authors show

that multi-channel sparse signal can be effectively sampled

s(t)

:

and Kronecker delta function

dom variable. For generalization, we assume that the event

3941

ICASSP2015

signal is a real random variable, and the sign of the signal is unknown. Under this formulation, it is well known that the energy detector is the optimal detection method energy of

s(t) can be computed by Es

[9-11].

The

� ft:o s2(t)dt [12].

=

During a sampling interval (O,T), the energy is approximated by

·T

l

_

t-O

where;[i

=

;[(i/2B).

2B

=

=

u.

[s[l], s[2]' . . , s[N]]. ·

=

Thus,

The energy of each signal can

If

N

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