Formulário de Sistema de Comunicação

Formulário EST 702 - P1 V2 P2 2 dB = 10.log10 P P1 ; dB = 20.log10 V1 ; dBm = 10.log10 1.mw ;

dBw = 10.log10 Pw2 ; sinc = G(f ) =

R∞ −∞

x(t) =

a0 2

a0 =

2 T

R

bn =

2 T

R

+

sinθ θ ;

g(t).e−2.π.j.f.t dt; g(t) =

P∞

n=1

an cos(nw0 t) +

T 2 −T 2

x(t)sen(nw0 t)dt; dn =

R

T 2 −T 2

1 T

x(t) =

R

T 2 −T 2

P∞

−∞

G(f ).e−2.π.j.f.t df ;

n=1 bn sen(nw0 t);

x(t)dt; an =

2 T

R∞

P∞

T 2 −T 2

n θn = arctan( −b an ); x(t) = d0 +

cn =

dBm = dB + 30;

x(t)cos(nw0 t)dt; p a2n + b2n ;

P∞

n=1

dn cos(nw0 t + θn );

x(t)e−jnw0 t dt = 12 (an − jbn );

jnw0 t ; x=−∞ cn .e

|cn | =

1 2

p a2n + b2n ; φn = arctg( abnn )

AM-DSB SDSB = Ac [1 + ko .m(t)]cos(2.π.fc .t)

(1)

Fourier (Modulação AM DSB) VDSB (w) = πAc [δ(w − wc ) + δ(w ka .Ac 2 [M (w − wc ) + M (w + wc )]

+ wc )]+

Outra forma: VDSB (w) = πAc [δ(w π.µ.Ac [δ(w − wm − wc ) 2 Eficiência: η=

− wc ) + δ(w + wc )]+ + δ(w − wm + wc )] µ2 (unicoT om) 2 + µ2

µ = Ko .Am =

Amax − Amin Ei = Amax + Amin Ec µ2 ) 2

Pt = Pc (1 +

PCarrier =

A2c 2.R

PBandaLaterial =

(2)

(3)

(4)

(5)

µ2 .A2c 8.R

(6)

AM-DSB-SC vdsb−sc (t) = Ac .m(t).cos(wc t)

(7)

Fourier (Modulação AM DSB) VDSB (w) =

Ac [M (w − wc ) + M (w + wc )] 2

(8)

FM e PM FM Z vF M = Acos(wt + kf

t

m(λ)dλ)

(9)

0

s(t) = Ac

∞ X n=−1∞

Jn (β)cos[2.π(fc + n.fm )t]

(10)

Jn =

S(f ) =

∞ X (−1)m .( 12 x)n+2.m m!(n + m)! m=0

(11)

∞ Ac X Jn (β)[δ(f − fc − n.fm ) + δ(f + fc + n.fm )] 2 n=−∞ (12)

dφ(t) = kf .m(t) φ(t) = kf dt D=

Z

t

m(λdλ + φ(t0 ))

(13)

t0

DesvioM axDeF req ∆w = LarguraDeF aixaDe(m(t)) W

(14)

∆ kf .Am = wm wm

(15)

β=

Bt ≈ 2(∆f + fm ) = 2.∆f (1 +

1 ) β

F M : BW = 2(Kf .Am + fm ) P =

(16) (17)

∞ 1 2 X 2 .Ac Jn (β) 2 n=−∞

(18)

∆f = kf .Am

(19)

β=

∆f fm

(20)

BW = 2.∆f + fm

(21)

vpm = Acos(wc t + kp m(t))

(22)

φ(t) = kp .m(t)

(23)

PCM

PM

∆.w = kp .Am wm ∆w DesvioM axDeF req = D= LarguraDeF aixaDe(m(t)) W β=

P M : BW = 2(Kp.Am + 1)fm

2.Am N

∆=

(27)

∆ = 2n

(28)

< qe2 >RuidoQuant =

(24)

∆2 12

(29)

DRF aixaDinamica = 6, 02.n[dB]

(30)

SRN = (1, 76 + 6, 02.n)[dB]

(31)

Rb ≥ n.fs

(32)

fs = 2.fmax

(33)

(25) (26)

IntervaloN yquist =

1 2.fmax

(34)

Lei A A = 87.5 Vout =

Vout =

A m m 1 ( ), | |≤ 1 + ln(A) mp mp A

m 1 + ln(A).| mp |

1 + ln(A)

.sgn(A),

1 m ≤| |≤1 A mp

(35)

(36)

Lei u ; valor tipico u = 255 Vout =

min ) Vmax .ln(1 + µ VVmax

ln(1 + µ)

(37)