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Modern radio techniques for probing the ionosphere Cesidio Bianchi INGV - Roma Italy Receiver, radar, advanced ionospheric sounder, and related techniques

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Page 1: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Mod

ern

radi

o te

chni

ques

for

prob

ing

the

iono

sphe

re

Cesi

dio

Bian

chi I

NGV

- R

oma

Ital

y

Rece

iver

, rad

ar, a

dvan

ced

iono

sphe

ric

soun

der,

and

rel

ated

tech

niqu

es

Page 2: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Iono

sphe

ric

prop

erti

es r

elat

ed t

o ra

dio

wave

sTh

e m

ost

usef

ul

way

to p

erfo

rm s

yste

mat

ic m

easu

rem

ents

inth

e io

nosp

here

is

to

use

radi

o wa

ves.

Thi

s ca

n be

don

eex

ploi

ting

the

pro

pert

ies

of t

he i

onos

pher

e wh

en it

int

erac

tsin

var

ious

way

s w

ith

the

elec

trom

agne

tic

wave

s.

The

radi

o te

chni

ques

for

pro

bing

the

iono

sphe

re a

re s

prea

d in

near

ly a

ll ra

nges

of

radi

o fr

eque

ncy.

We

expl

ore

the

str

uctu

re

of

the

iono

sphe

re

by

boun

cing

radi

o wa

ves

of d

iffe

rent

fre

quen

cies

on

it, a

nd u

sing

spe

cial

rece

iver

s to

det

ect

how

the

ref

lect

ed w

aves

hav

e c

hang

edfr

om t

he t

rans

mit

ted

wa

ves.

We

als

o ex

amin

e t

he

chan

ges

of

the

rad

io w

aves

fr

omsa

telli

tes

tran

smit

ted

thro

ugh

the

iono

sphe

re e

tc..

Page 3: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Tech

niqu

es

- ve

rtic

al s

ound

ings

+ D

oppl

er s

hift

mea

sure

men

t

- in

cohe

rent

sca

tter

rad

ar

- TE

C m

easu

rem

ent

Page 4: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,
Page 5: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

•Th

e ra

dio

is a

dev

ice

that

eit

her

gene

rate

s, o

rre

spon

ds t

o r

adio

wav

es.

•Th

e ra

dar

(rad

io d

etec

tor

and

rang

ing)

is

a de

vice

able

to

tran

smit

a p

ulse

d ra

dio

wave

and

rec

eive

its

echo

eva

luat

ing

also

the

ran

ge a

nd t

he m

odif

icat

ion

of t

he t

rans

mit

ted

rad

io w

ave.

Radi

o &

Rada

r p

rinc

iple

s

Page 6: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Basi

c re

quir

emen

ts f

or r

ecei

vers

:

- R

ecei

ving

, am

plif

ying

and

dem

odul

atin

g

AM

, FM

, ph

ase

code

d wa

ves,

etc

.

–ab

ility

to

tune

to

a sp

ecif

ic s

igna

l

–am

plif

y th

e si

gnal

tha

t is

pic

ked

up

Page 7: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Radi

o Re

ceiv

er

Page 8: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Supe

rher

odyn

e re

ceiv

er

Page 9: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

sect

ions

Page 10: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

func

tion

s &

requ

irem

ents

-m

odul

atio

n (am

plit

ude,

fre

quen

cy, p

hase

etc

..) (i

nfor

mat

ion)

-fi

lter

(s

elec

tivi

ty)

-am

plif

ier

(dyn

amic

, sen

siti

vity

and

line

arit

y)

-de

tect

ion

(dyn

amic

and

line

arit

y)

- co

ntro

l (dy

nam

ic a

nd li

near

ity,

AGC

, sel

ecti

vity

)

Page 11: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

ante

nna

A r

adio

ant

enna

may

be

defi

ned

as a

str

uctu

reas

soci

ated

wit

h th

e re

gion

of

tran

siti

on b

etwe

ena

guid

ed w

ave

and

free

spa

ce o

r vi

ce v

ersa

(Kra

us)

Page 12: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

RF f

ront

-end

Page 13: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Inte

rmed

iate

fre

quen

cy

Mix

er-

By

a lo

cal o

scill

ator

LO

, the

RF

is c

onve

rted

to

IF (R

F to

IF

tran

slat

ion)

. Sha

pe o

f th

e en

velo

pe r

emai

n th

e sa

me.

BW

is u

ncha

nged

–IF

is c

hose

n al

ways

lowe

r th

an R

F:m

ore

stab

le (d

o no

t os

cilla

te).

Usu

ally

one

RF a

mpl

ifie

r, I

F st

ages

>2

Page 14: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Det

ecti

on p

roce

ss

Page 15: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Det

ecti

on

Two

type

s•

Cohe

rent

(syn

chro

nous

): fr

eque

ncie

sus

ed f

or d

emod

ulat

ion

are

exac

t co

pyof

Tx

carr

ier

•N

on-c

oher

ent

(asy

nchr

onou

s):

enve

lope

det

ecti

on

Page 16: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Inte

rnal

noi

se

The

whit

e n

oise

is d

ue t

o th

e ra

ndom

mot

ion

of t

heel

ectr

ons.

The

vol

tage

acr

oss

the

two

resi

stor

ter

min

alat

the

abs

olut

e te

mpe

ratu

re T

is:

Vrm

s=2(

KTRB

)0.5

whe

re K

is t

he B

oltz

man

n co

nsta

nt (J

/Hz)

and

B is

the

ban

d of

fre

quen

cy c

onsi

dere

d.U

nder

wel

l mat

ched

con

diti

on t

he p

ower

is P

=KTB

(W)

By d

efin

itio

n th

e no

ise

fact

or F

is:

Sign

al-t

o-no

ise

rati

o(in

put)

/ S

igna

l-to-

nois

e ra

tio

(out

put)

Page 17: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Inte

rnal

noi

se 2

In t

he r

ecei

ver

it is

use

ful t

o de

fine

the

noi

se f

acto

rF

in q

uant

itat

ive

way

as:

wher

e P i

and

PA a

re t

he in

put

nois

e a

nd a

ddit

iona

lno

ise

mea

sure

d at

am

plif

ier

the

outp

utTh

e no

ise

figu

re is

f noi

se =

10

log 1

0 F

)o

/(/

APB

GKT

GPi

KToB

PiF

+=

Page 18: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

envi

ronm

ent

Page 19: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

nois

e &

inte

rfer

ence

s

•W

hat

is im

port

ant

at t

he a

nten

na le

vel i

s th

e si

gnal

-to

-noi

se r

atio

(S/N

)•

The

nois

e le

vel d

oes

not

allo

w to

incr

ease

the

sens

itiv

ity

as w

e de

sire

.

•Te

rres

tria

l env

iron

men

t is

con

tinu

ousl

y ex

pose

d to

elec

trom

agne

tic

radi

atio

ns, w

hich

set

up

a“b

ackg

roun

d ” o

f el

ectr

omag

neti

c no

ise.

The

elec

trom

agne

tic

back

grou

nd r

efer

s to

the

envi

ronm

ent

in w

hich

the

re a

re b

oth

natu

ral a

ndm

anm

ade

elec

trom

agne

tic

nois

e.

•Br

oadc

asti

ng s

tati

ons

can

caus

e st

rong

inte

rfer

ence

s wh

ich

affe

ct t

he r

ecep

tion

of

the

sign

al

Page 20: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Rada

r

TX

R XRe

ceiver

CCo

ntro

ller

Display

unit

T/R

switch

or

circ

ulat

or

Page 21: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Mon

o st

atic

rad

ar

Page 22: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Bi-s

tati

c ra

dar

Page 23: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Freq

uenc

y sy

nthe

size

r

Page 24: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

DD

S

Page 25: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Rad

ar e

quat

ion

The

rada

r eq

uati

on r

epre

sent

s th

e ph

ysic

al d

epen

denc

es o

fbe

twee

n th

e tr

ansm

itte

d p

ower

and

rec

eive

d po

wer.

432 )

4()

(rP

GP

rad

dr

πσ

λ=

Page 26: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Rad

ar e

q

Var

iabl

eD

efin

ition

Uni

ts

P rPo

wer

rece

ived

by

the

rada

ran

tenn

aw

atts

(W)

λW

avel

engt

h of

sign

al re

ceiv

ed b

y ra

dar a

nten

nam

eter

s (m

)

Gd

Dire

ctiv

e ga

in o

f ant

enna

(mea

sure

of t

heco

ncen

tratio

n of

the

radi

ated

pow

er in

a p

artic

ular

dire

ctio

n)

unitl

ess

σRa

dar

cros

s se

ctio

n (c

hara

cter

izes

the

targ

et’s

abi

lity

to s

catt

er o

r re

flec

t en

ergy

)sq

uare

met

ers

(m2 )

P rad

Powe

r di

ssip

ated

thr

ough

the

cha

ract

eris

tic

impe

danc

e, R

rad,

of

the

TX r

adar

ant

enna

wat

ts (W

)

rD

ista

nce

mea

sure

d fr

om t

he r

adar

to

the

targ

etm

eter

s (m

)

43

2 )4(

)(

rPG

Prad

dr

πσ

λ=

Page 27: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Rada

r cr

oss

sect

ion

•Ra

dar

cros

s se

ctio

n is

def

ined

as:

2

24

=is

EEr

πσ

wher

e E s

and

Ei

are

defi

ned

as t

he s

catt

ered

and

inc

iden

tel

ectr

ic f

ield

s, r

espe

ctiv

ely.

Es

is m

easu

red

at t

he r

ecei

ving

ante

nna,

whe

reas

Ei i

s m

easu

red

at t

he t

arge

t le

vel

. Si

nce

the

scat

tere

d el

ectr

ic

fiel

d is

in

vers

ely

prop

orti

onal

to

dist

ance

, r, t

he r

adar

cro

ss s

ecti

on r

educ

es t

o th

e fo

llowi

ng:

2

2

24

4

=

≡is

is

EEErE

πσ

Page 28: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

iono

sond

es 1

Enve

lope

det

ecto

r io

noso

nde

or H

F Ra

dar

Page 29: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

iono

sond

e bl

ock-

diag

ram

Page 30: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Del

ay

- Th

e fr

eque

ncy

mea

sure

men

t is

ass

ured

by

the

rece

iver

sel

ecti

vity

alw

ays

tune

d wi

th t

hetr

ansm

itte

d fr

eque

ncy

In p

ract

ical

is t

he s

ame

freq

uenc

y sy

nthe

size

rth

at s

teer

s bo

th t

rans

mit

ter

and

rece

iver

Page 31: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

2

•Ve

rtic

al s

ound

ing

are

perf

orm

ed b

y a

high

freq

uenc

y ra

dar

know

n as

io

noso

nde.

Th

eio

noso

nde

send

s sh

ort

puls

es o

f ra

dio

ener

gyve

rtic

ally

into

the

iono

sphe

re. T

hese

pul

ses

are

refl

ecte

d ba

ck t

owar

ds t

he g

roun

d an

d th

eio

noso

nde

reco

rds

the

tim

e de

lay

betw

een

tran

smis

sion

an

d re

cept

ion

of

puls

es.

Byva

ryin

g th

e ca

rrie

r fr

eque

ncy

of p

ulse

s fr

om 1

to

20

MH

z,

the

tim

e de

lay

at

diff

eren

tfr

eque

ncie

s is

rec

orde

d.

Page 32: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Vert

ical

sou

ndin

g

Page 33: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Mag

neto

plas

ma

sepa

rate

the

wav

e in

to t

woco

mpo

nent

s

Page 34: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

fp, ν

and

fB

- th

e pl

asm

a fr

eque

ncy

fp is

:

02

21

επmNe

f p=

-The

fre

quen

cy o

f co

llisi

on b

etwe

en e

lect

rons

and

neu

tral

mol

ecul

es ( ν

)

is:

ν=1

/ τ b

eing

τ is

the

ave

rage

tim

e be

twee

n c

ollis

ions

   -fre

quen

cy o

f cy

clot

ron

( fB) 

f B =

e B

/ m

  esta

blis

hes

the

cond

itio

n of

pro

paga

tion

of

the

wave

thro

ugh

the

mag

neti

sed

iono

sphe

ric

plas

ma.

Iono

sphe

ric

plas

ma

Page 35: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

iono

gram

Page 36: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Iono

gram

’s ch

arac

teri

stic

s

Page 37: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Bott

om p

rofi

le (p

ost-

proc

ess)

Page 38: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Puls

e co

mpr

esse

d io

noso

ndes

Page 39: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

C

hirp

: typ

ical

pha

se c

odin

g or

mod

ulat

ion

appl

ied

to t

hera

nge

puls

e of

a r

adar

des

igne

d to

ach

ieve

a la

rge

ti

me-

band

widt

h pr

oduc

t. T

he r

esul

ting

pha

se is

qua

drat

ic in

tim

e, w

hich

has

a li

near

der

ivat

ive.

Suc

h co

ding

is o

ften

calle

d lin

ear

freq

uenc

y m

odul

atio

n, o

r lin

ear

FM.

•Th

e m

ost

sign

ific

ant

adva

ntag

es o

f th

e ch

irp

tech

niqu

esov

er o

ther

pul

se H

F sy

stem

are

:•

the

redu

ced

vuln

erab

ility

to

narr

ow-b

and

inte

rfer

ence

•th

e us

e of

low

powe

r du

e to

the

abi

lity

to t

rans

mit

wit

h a

near

ly u

nit

duty

cyc

le.

CHIR

P

Page 40: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Chir

p m

odul

atio

n (C

W-F

M)

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Chir

p io

noso

nde

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Page 43: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

Chir

p te

chni

ques

1

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Chir

p te

chni

ques

2

Page 45: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

• F

requ

ency

ana

lysi

s of

the

de-

chir

ped

sign

al is

know

n to

be

iden

tica

l to

a m

atch

ed f

ilter

in p

ulse

com

pres

sion

rad

ar. T

he p

ulse

com

pres

sion

rat

io G

is g

iven

by: 

G =

BT

w

here

B is

the

fre

quen

cy s

weep

ran

ge a

nd T

isth

e ti

me

dura

tion

for

one

spe

ctru

m a

naly

sis]

.Ra

nge

reso

luti

on ∆

r is

giv

en b

y: 

∆r

= c

/ 2B

w

here

c is

the

vel

ocit

y of

ligh

t.

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Obl

ique

sou

ndin

g

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Obl

ique

iono

gram

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Phas

e-co

ded

iono

sond

e

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Code

gen

erat

ion

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base

band

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Tim

e-do

mai

n co

rrel

atio

n

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Puls

e co

mpr

essi

on

The

phas

e pa

th P

is g

iven

by

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Proc

essi

ng g

ain

•M

ore

or le

ss 3

0 dB

•A

bout

15

dB d

ue t

o co

rrel

atio

npr

oces

s

•A

bout

15

dB d

ue t

o ph

ase

cohe

rent

inte

grat

ion

Page 54: Modern radio techniques for probing the ionosphere …legacy.ingv.it/roma/convegni-seminari/ericesept2004/presentations/... · Modern radio techniques for probing the ionosphere Receiver,

The

reco

nstr

uction

of

the

code

, ba

seba

nd,

star

ting

fro

m t

he e

cho

sign

al is

the

follo

wing

:•the

ana

log

sign

al a

t th

e ou

tput

of

the

IF (

typica

lly 1

00 k

Hz)

is

sampled

bot

h in p

hase

and

quad

ratu

re a

t th

e sa

me

freq

uenc

y•the

qu

adra

ture

sam

pling

allows

to

obta

in t

heam

plitud

e an

d, m

ore

impo

rtan

t, t

he ph

ase

of t

hesign

al t

o re

cons

truc

t th

e ba

seba

nd•a

fter

the

A/D

con

vers

ion

the

signa

l is f

edth

roug

h th

e digita

l mat

ched

file

r im

plem

ente

d on

the

DSP

boa

rd•the

pro

cess

is

repe

ated

for

the

eve

n an

d od

dco

de if

complem

enta

ry c

ode

is u

sed.

Code

rec

onst

ruct

ion

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Com

plem

enta

ry c

ode

In t

he c

ompl

emen

tary

pha

se c

ode

the

sid

e lo

bes

of t

heco

rrel

atio

n pr

oces

s an

d in

a c

erta

in m

easu

re t

he n

oise

supe

rim

pose

d to

the

sig

nal

16.0

0272

7

3.01

0122

u1l

u2l

240

180

l18

019

020

021

022

023

024

010

0

1020

l

32.0

0177

6

0.04

5786

u1l

u2l

180

190

200

210

220

230

240

2002040

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Pu

lse

compr

ession

tec

hnique

The

ener

gy (E

) of

the

echo

sig

nal f

rom

the

iono

sphe

re, u

nder

cert

ain

prop

agat

ive

cond

itio

n, i

s pr

opor

tion

al t

o th

etr

ansm

itte

d po

wer

(P) a

nd t

he p

ulse

leng

th (T

)E=

P ⋅T

In t

he o

ld io

noso

nde

the

powe

r P

was

of t

he o

rder

of

1000

0W

whi

le t

he p

ulse

leng

th, t

o ha

ve t

he d

esir

ed h

igh

reso

luti

on, w

as 3

0 µs

, so

the

ener

gy w

as o

f th

e or

der

of 0

.3J. Th

e ph

ase

code

d H

F ra

dar

uses

a p

ulse

leng

th o

f ab

out

500

µs a

nd a

pow

er o

f 20

0 W

and

the

ene

rgy

of t

he p

ulse

is 0

.1 J

(sam

e or

der

of m

agni

tude

). T

he r

esol

utio

n is

mai

ntai

ned

beca

use

an a

dequ

ate

num

ber

of s

ub-p

ulse

τ c

onst

itut

e th

epu

lse

leng

th T

.

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1

•Th

e pa

rtic

ular

seq

uenc

e of

the

sub

-pul

ses

that

is w

hat

we s

ay a

cod

e.

The

puls

eco

mpr

essi

on c

onsi

sts

to in

put

the

puls

e T

(sub

puls

e se

quen

ce) i

n a

mat

ched

filt

er,

whic

h is

sen

siti

ve o

nly

to t

he c

hose

n co

de,

whos

e ou

tput

con

cent

rate

its

ener

gy in

ati

me τ.

•So

the

mat

ched

filt

er m

agni

fies

onl

y th

ese

gmen

t of

the

sig

nal t

hat

cont

ains

the

code

seq

uenc

e.

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Filt

erin

g an

d in

tegr

atio

n

•A

fter

the

FFT

a d

igit

al f

ilter

to

redu

ce t

he a

mpl

itud

e of

the

stro

nges

t f

requ

ency

co

mpo

nent

, can

be

impl

emen

ted.

This

filt

er c

ut o

ut t

he f

requ

ency

of

the

inte

rfer

ing

radi

obr

oadc

asti

ng e

tc..

This

filt

er f

ollo

ws e

mpi

rica

l cr

iter

ia a

ndca

n b

e m

odif

ied

acc

ordi

ng t

o t

he p

arti

cula

r so

undi

ng s

ite.

•Th

e ph

ase

cohe

rent

inte

grat

ion

is a

sum

in t

he f

requ

ency

dom

ain

last

ing

till

the

phas

e di

ffer

ence

bet

ween

the

fir

stan

d th

e la

st e

choe

s of

the

inco

min

g si

gnal

is le

ss t

han

90

degr

ees.

Aft

er t

hat

the

inte

grat

ion

proc

ess

is n

ot u

sefu

l.Th

is p

roce

ss t

akes

into

acc

ount

the

tim

e co

here

nce

of t

here

flec

tion

pro

cess

in t

he io

nosp

here

.

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Dig

ital

sig

nal p

roce

ssin

g 1

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Dig

ital

sig

nal p

roce

ssin

g 2

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Dig

ital

sig

nal p

roce

ssin

g 3

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Dig

ital

sig

nal p

roce

ssin

g 4