Minggu 1-Klasifikasi Sinyal

 

Pengolahan Sinyal-HBD PERTEMUAN 1

 

The Signals and Systems Abstraction Describe system (physical, cop"!a!ional# !he $ay i!a!rans%ors an inputa!hea!ical, signal in!o anoroutput signal by

 

Example: Mass and Spring

 

Signals and Systems: Widely Applicable  The Signals an& Sys!es approach has broa& applica!ion' elec!rical, echanical, op!ical, aco"s!ic, biological, nancial, )))

 

*ha! is a signal+ 

Signals are a!hea!ical %"nc!ions)  in&epen&en! ariable . !ie  &epen&en! ariable . ol!age, /o$ ra!e, so"n& press"re

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A signal carries in%ora!ion

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E0aples' speech, "sic, seisic, iage an& i&eo A signal can be a %"nc!ion o% one, !$o or N in&epen&en! ariables 

Speech is a 1-D signal as a %"nc!ion o% !ie

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An iage is a -D signal as a %"nc!ion o% space

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2i&eo is a 3-D signal as a %"nc!ion o% space an& !ie

 

More E0aple Signals Stock price & volume

EEG       n       o         i         t         i       s       o       p

DTMF

time Video

time  

Si4e o% a Signal 0(!#

time

 

Si4e o% a Signal 0(!#

 

Signals 5lassica!ion 1) 5on!in"o"s-!ie an& &iscre!e-!ie ) Analog"e an& &igi!al signals 3) Perio&ic

an& aperio&ic signals

6) De!erinis!ic

an& ran&o signals 7) 5a"sal an& non-ca"sal 8) Een

an& 9&& signals

signals

 

5on!in"o"s-!ie an& &iscre!e-!ie signals

 

Analog"e an& &igi!al signals

 

Perio&ic an& aperio&ic signals

 

De!erinis!ic an& ran&o signals

 

5a"sal an& non-ca"sal

 

Een an& 9&& signals

 

Signal Mo&els (1# : Uni! S!ep S! ep ;"nc!ion ;"nc!ion u(t)

Unit Step Continuous

1

1  ,t  > 0  0  ,t  < 0

t

Unit Step Discrete

u[n] 1 -3

-2

-1

 

1

2

3

n

1  0

 ,n ≥ 0  ,n < 0

 

Signal Mo&els (# : Uni! =p"lse ;"nc!ion Unit Impulse Continuous

1 δ  (t )

−

ε 

< <

Unit Impuls Discrete

ε 

duε  (t ) =  = lε  im  ε   , 2 t  2 →0 dt  0 , otherwise

0 δ (t )

 ,t  = 0

= ∞ , t  ≠ 0

1  ,n = 0 δ [ n] =  0  ,n ≠ 0

δ (t) (t)

δ[n]

ε 0 

ε 

∫ δ (t )dt  = 1

1 t

n

−ε 

-3

-2

-1

1

2

3

 

Sapling' coner!ing 5T signals !o DT

=por!an! %or cop"!a!ional anip"la!ion o% physical &a!a) • &igi!al represen!a!ions o% a"&io signals (e)g), MP3# • &igi!al represen!a!ions o% iages (e)g), >PE?#

 

Re%erence 

$$$)ee)ic)ac)"@pche"ng 

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h!!p'$$$)ece)roches!er)e&"co"rsesE5E668 h!!p' $$$)ece)roches!er)e&"co"rsesE5E668  ;all 3

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mitedu!"##$

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Signals and Systems  Systems with MATLAB  MATLAB Computing Computing  and Simulink  Modeling Modeling   ;o"r!h E&i!ion Ste%en T &arris &arri s

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Sli&e SignalCSys!e >"r"san Ele@!ro STT Tel@o