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Standard. Type. Year of Introduction. Multiple Access. Frequency Band. Modulation. Channel Bandwidth. ETACS. Cellular. 1985. FDMA. 900 MHz. FM. 25 kHz. NMT-450. Cellular. 1981. FDMA. 450-470 MHz. FM. 25 kHz. NMT-900. Cellular. 1986. FDMA. 890-960 MHz.

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Standard

Standard

Type

Year of

Introduction

Multiple

Access

Frequency

Band

Modulation

Channel

Bandwidth

ETACS

Cellular

1985

FDMA

900 MHz

FM

25 kHz

NMT-450

Cellular

1981

FDMA

450-470 MHz

FM

25 kHz

NMT-900

Cellular

1986

FDMA

890-960 MHz

FM

12.5kHz

GSM

Cellular/

PCS

1990

TDMA

890-960 MHz

GMSK

200 kHz

C-450

Cellular

1985

FDMA

450-465 MHz

FM

20 kHz/

10 kHz

ERMES

Paging

1993

FDMA

Several

4-FSK

25 kHz

CT2

Cordless

1989

FDMA

864-868 MHz

GFSK

100 kHz

DECT

Cordless

1993

TDMA

1880-1900 MHz

GFSK

1.728 MHz

DCS-1800

Cordless/

PCS

1993

TDMA

1710-1880 MHz

GMSK

200 kHz

Major Mobile Radio Standards in Europe


Standard

Standard

Type

Year Of

Introduction

Multiple

Access

Frequency

Band

Modulation

Channel

Bandwidth

AMPS

Cellular

1983

FDMA

824-894 MHz

FM

30 kHz

NAMPS

Cellular

1992

FDMA

824-894 MHz

FM

10 kHz

USDC

Cellular

1991

TDMA

824-894 MHz

p/4- DQPSK

30 kHz

CDPD

Cellular

1993

FH/

Packet

824-894 MHz

GMSK

30 kHz

IS-95

Cellular

1993

CDMA

824-894 MHz

1.8-2.0 GHz

QPSK/

BPSK

1.25 MHz

GSC

paging

1970

Simplex

Several

FSK

12.5 kHZ

POCSAG

Paging

1970

Simplex

Several

FSK

12.5 kHZ

FLEX

Paging

1993

Simplex

Several

4-FSK

15 kHz

DSC-1900 (GSM)

PCS

1994

TDMA

1.85-1.99 GHz

p /4-

DQPSK

200 kHz

PACS

Cordless

1994

TDMA/

FDMA

1.85-1.99 GHz

p /4-

DQPSK

300 kHz

MIRS

SMR/

PCS

1994

TDMA

Several

16-QAM

25 kHz

iDEN

SMR/

PCS

1995

TDMA

Several

16-QAM

25 kHz

Major Mobile Radio Standards in North America


Standard

Standard

Year Of

Introduction

Multiple

Access

Frequency

Band

Modulation

Channel

Bandwidth

JTACS

Cellular

1988

FDMA

860-925

MHz

FM

25 kHz

PDC

Cellular

1993

TDMA

810-1501

MHz

P/4-

DQPSK

25 kHz

NTT

Cellular

1979

FDMA

400/800

MHz

FM

25kHz

NTACS

Cellular

1993

FDMA

843-925

MHz

FM

12.5 kHz

NTT

Paging

1979

FDMA

280 MHz

FSK

12.5 kHz

NEC

Paging

1979

FDMA

Several

FSK

10 kHz

PHS

Cordless

1993

TDMA

1895-1907

MHz

P/4-

DQPSK

300 kHz

Major Mobile Radio Standards in Japan

Type


Standard

Function

Time Waveform w(t)

Spectrum W(f)

Fourier Transform pairs

Rectangular

rect(t/T)

Triangular

( t /T)

Unit Step

{+1, t> 0

u(t) = {-1, t< 0

1/2d(f)+1/(j2pf)

Signum

{+1, t> 0

sgn(t) = {-1, t <0

1/(jpf)

Constant

1

d(f)

Impulse at t=t0

d(t-t0)

e-2 j f t0

Sinc

Sa(2pWt)

1/2W rect(f/2W)

Phasor

ej(w0 t+f)

ejf (f-f0 )

Sinusoid

cos(wct+f)

1/2e jfd(f-f c)+1/2e -jfd(f+f c )

Gaussian

e- p (t/ t0 )^2

t0 e- p (f t0)^2

Exponential,

One sided

{ e-t/T ,t>=0

{ 0 ,t< 0

T/(1+j2pfT)

Exponential,

Two sided

e-|t|/T

2T/(1+(2pfT)^2)

Impulse Train

k=

d(t-kT)

k=-

n=

f (f-nf ), where f = 1/T

n=-

T[Sa(pfT)]

T[Sa(pfT)]2


Standard

Operation

Function

Fourier Transform

Linearity

A1w1(t)+A2w2(t)

A1W1(f)+A2W2(f)

Time Delay

w(t-T d)

W(f) e-jwTd

Scale Change

w(at)

1/|a| W(f/a)

Conjugation

w * (t)

W * (-f)

Duality

W(t)

w(-f)

Real Signal Frequency

Translation [w(t) is real]

w(t)cos(wc t +q )

1/2 [e jqW(f-f c )+e–jqW(f+f c )]

Complex Signal

Frequency Translation

w(t)ejwct

W(f-f c )

Band pass Signal

Re{g(t)ejwct }

1/2[G(f-fc )+G *(-f-fc )]

Differentiation

d nw(t)/dt n

(j2 pf) nW(f)

Integration

t-w( l)dl

(j2pf)-1 W(f)+1/2W(0) d (f)

Convolution

w1 (t)*w2 (t)

=-w ( l ).w (t- l )d l

W1 (f)W 2 (f)

Multiplication

w1 (t)w2 (t)

W1 (f)* W2 (f)

= W1 (l ).W2 (f-l)dl

Multiplication by t n

tn w(t)

(-j2p )-1d nW(f)/dnf

Fourier Transform Theorems