• No results found

The bit error probability as a function path register length in the Viterbi decoder

N/A
N/A
Protected

Academic year: 2021

Share "The bit error probability as a function path register length in the Viterbi decoder"

Copied!
45
0
0

Bezig met laden.... (Bekijk nu de volledige tekst)

Hele tekst

(1)

The bit error probability as a function path register length in

the Viterbi decoder

Citation for published version (APA):

Sampic, G. (1974). The bit error probability as a function path register length in the Viterbi decoder. (EUT report. E, Fac. of Electrical Engineering; Vol. 74-E-51). Technische Hogeschool Eindhoven.

Document status and date: Published: 01/01/1974 Document Version:

Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers) Please check the document version of this publication:

• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.

• The final author version and the galley proof are versions of the publication after peer review.

• The final published version features the final layout of the paper including the volume, issue and page numbers.

Link to publication

General rights

Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain

• You may freely distribute the URL identifying the publication in the public portal.

If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement:

www.tue.nl/taverne

Take down policy

If you believe that this document breaches copyright please contact us at:

openaccess@tue.nl

providing details and we will investigate your claim.

(2)

function path reg; ster length ;n the Vitcrbi decoder

by

(3)

AFDELING DER ELEKTROTECHNIEK VAKGROEP TELECOMMUNICATIE

THE NETHERLANDS

DEPARTMENT OF ELECTRICAL ENGINEERING GROUP TELECOMMUNICATIONS

The bit error probability as a function path register length in

the Viterbi decoder

by

G. Sampic

TH-Report 74-E-51 October 1974

(4)

Introduction

FUNCTION PATH REGISTER LENGTH IN THE VITERBI DECODER

by

G. Sampia

Starting with Viterbi's idea, we shall perform a simulation of the decoding algorithm. OUr aim is not to deal with some theoretical aspect of this algorithm, but on the contrary, to give the performances obtained from a computer simulation.

We want to evaluate PB the bit error probability, as a function of the length of the path register for several values of the channel error probability.

(5)

I DECODING ALGORITHM

---We invite our readers to consider Vi terbi 's and Formey' s papers

[1,2)

as the theoretical background of our work. We shall only point out the main ideas we used to perform our simulation.

1. Minimum distance decoder for Binary Symetric Channel (B.S.C.)

o

...

A-p

...

A-p

If we assume that the input sequence are equally probable, the appropriate decoder which minimizes the event error probability is the one that examines the received sequence and chooses the data sequence which is closest to the received sequence in the sense of Hamming distance.

2. Convolutional Encoder.

It is time now to introduce the convolutional encoder that we consider. It is composed of K stage, shift register, and n modulo 2 adders.

Let us take Viterbi's exemple:

(6)

bits, Hence then transmission rate will be R

=

~.

As it was demonstrated in Viterbi's paper the structure of the algorithm becomes repetitive after two data intervals and we can obtain the following state diagram.

b=OI

c=IO

1 1

00

To label the states we may use the last two data bits, while the present data bits determines the transition.

3. Decoding Algorithm.

We now review the several steps of the decoding algorithm:

1. for each state preserve one surviving path and its distance from the received sequence if the distance or metrics of two imerging paths are equal we may simply flip a coin to choose one of them;

2. at anyone time we have to memorize the survivor for each state plus the state Metrics ans thus one needs two registers for each state;

(7)

the old state metrics and the previous survivors;

4. we have also to introduce some useful modifications. It is necessery to truncate survivors to some manageable length. In other words the algorithm must come to a definite decision on nodes up to time k-l at time k. We shall call L the path register length.

II DECODING PROGRAM

To help the comprehension of our readers we have drawn a flow-chart which we think will be very usefull to follow the way of programming that we used.

In this section we shall explain the programming of each of the blocks which compose our program running on a PDP 11-20.

BLOCK I

- Declaration of the 6 registers needed. - Loading of the stack pointer.

- Reservation of the memory locations.

- Declaration of some system adresses used for extended arithmetic unit.

Theses adresses are AC, MQ, SC, SR.

All symbols used haven the following meaning.

PAD old path for the A state. PBO old path for the B state. PCO old path for the C state. PDO old path for the D state. PAN new path for the A state. PBN new path for the

B

state. PCN new path for the C state. MAO old metric for the A state. MBN old metric for the B state. MCN old metric for the C state. MDN old metric for the D state. PDN new path for the D state.

(8)

MAN MBN MCN MON TEL 1 TEL 2 CO 1 CO 2 000 0 11 0 10 L P LG PG BUF GETA TOUR

new metric for the A state. new metric for the B state. new metric for the C state. new metric for the 0 state. counter of one decoded. counter of one transmitted. first binary digit transmitted. second binary digit transmitted.

Hamming distance between the transmitted digit and 00. Hamming distance between transmitted digits and 11. Hamming distance between transmitted digits and 10. path register length minus 1.

shift counter of B in correspondance with p. error channel probability.

dummy word to enter L. dummy word to enter P.

double word containing XO in PRG double word containing Xo in FLIP word for output editing.

COUNTR: counter of number of cycles.

number of transmitted digits 2 x COUNTR.

BLOCK 2

Soubroutines PRG and FLIP

These two soubroutines are both Pseudo - Random - Generator PRG,

is used to generate. O's and l's, where l's appear with probability p. Indeed, if we consider a zero sequence in the input line, the channel will transform some of these o's into l's and the probability of a 1 at the channel output is p.

FLIP is used to flip a coin when you need to decide between two paths of equal weight in the decoding algorithm.

For both these soubroutines we use a pseudo random generator described in 3.4 In fact we choose the multiplicative congruental method defined by

(9)

Xi+l = Axi mod m

with: XO relatively prime to m A = + 3 or + 5 mod 8

in respect with

as mentioned in

these value the maximum

(5)

we shall start with

31-2 29 period length would be 2 =2

Xi: double word

Xo: initial value of Xi = 070707 - 070707

A : will be defined thus as to facilitate the compution Let us take A = 215+3

The product A by XO will be obtain such: first: Shift Xo 15 positions to the left

second : Shift Xo 1 position to the left and add the result to first third : Add XO to second.

In this way we get a random sequence of number Xi .1\.11 these numbers belong to the interval [1,231_1J Hence, to obtain a binary sequence with Pr

(1}

= p. We compare the Xi's with the number af where B satisfies

~1

p.

23 -1

For computing facilities we introduce a corresponding parameter P.,

which gives the number of left - shifts for a

"1"

in the right most position. The correspondence with p is given in TABLE 1.

Now we can decide:

I f Xi> B we transmit a "0".

If XiE:;" B we transmit a "1".

BLOCK :3

Input parameters Land P

As mentioned previously, we want to check the influence of the path register length L on P

(10)

We shall choose L between 2 and 15 in octal 17 (8). For P let us give the conversion table for input.

-8 -7 -6 2-5 -4 2-3 -2 -1 p error channel 2 2 2 2 2 2 probability P parameter in 23 24 25 26 27 28 29 30 decimal P parameter in 27 30 31 32 33 34 35 36 octal

TABLE 1: a01'1'espondanae tab Ze p -n + p

All datas which are entered with the teletype are in ASC I I code. The input sequence will then be:

first type the left most digit

second use a mask to transform this digit from ASC I I code to octal code third shift the input digit 3 positions to the left

fourth type the second digit fifth use a mask as in second

BLOCK 4

Initialisation

1.AII the registers, exc~pt R6, are set to 0 2.All path registers are set to 0

3. The metrics are initialized as follow: (see fig. 2). ~"<~ __ o~o

__

~"~~o~o~-..

A

"l'-

",'t~

t'~~

D.,',

C.

(11)

4. Set TEL 1 and TEL 2 equal to o,counters of respectively the number of l's decoded and the number of l's transmitted.

5. Initialize the counter that keep the track of the number of data bits transmitted.

To upper bound this counter you have only to consider the simulation 31

time which can be very large; exemple: 2 hours for 2 cycles.

16 20

In fact we choose 2 and 2 •

6. BUF and GETA represent Xo for PRG and FLIP.

BLOCK 5

The maximum length of the path register is 16, i.e. one word. The actual path register length L is obtain with a 1 in the L th position of the path register mask; R2.

1

9 o Here L = 10

BLOCK 6

To generate the received sequence, assuming the all zero code sequence being transmitted, we use PRG twice each data interval and put the two resulting received digits in CD 1 and CD 2 respectively.

BLOCK 7

Now we are able to compute the Hamming distance between received digits

(CD 1, CD 2) and all possible pairs of binary digits of the treillis diagra,.

Then we get o¢¢ D11, D¢l, Dl¢

BLOCK 8

In each node, two paths are merging~ To choose one of them we have compute their

(12)

old step new step metrics

00

MAO A A MAN lowest of

...

,

,11

MOO B B MBN lowest of

MCO C C MCN lowest of

D~O-

,

MOO

- -'=>-

D MON lowest of

The continuous lines correspond to an information digit O. The dotted lines correspond to an information digit 1. For each node, then we follow this algorithm.

MAO + D¢11l MCO +D11 MAO + D11 MCO + Dl1ll1l MBO + D111l MOO + D11l1 MBO + D¢1 MDO+ D111l

first compute the two metrics associated to the merging path second

third

choose the lowest, or if they are equal call FLIP to determine the survivor

shift the survivors one position to the left and add a 0 for the nodes Band D

After this step you get four new paths, one for each node, and you can then considered this new path as the old one for the next step.

B L 0 C K 9-10

Majority dicision method

(13)

~

.

of counting the number of times we meet 0 or 1 in ~e L posit~on of the different survivors. To isolate ~is bit we can make a bit comparaison between R 2 and each survivor and add ~e results toge~er.

- Magority decision on 0

if ~e sum is 0,1,2 we decide that ~e data bit was a 0 if ths sum is 3,4 we decide ~at the data bit was a 1

- Magority decision on 1

if the sum is 0,1 we decide that the data bit was a o. if the sum is 2, 3, 4 we decide that the data bit was a 1.

The block 9 is not adbosutely needed, we let it to reinitialize the metrics.

B L

0

C K

9

bis

(Instead of BZoaks

9 and

10)

Decide according to survivor with lowest metric

By comparing, it is easy to find the lowest metrics survivor. Then we obtain

one survivor.

After comparaison with R 2 we are able to decide if the Lth bit of this survivor will be a 0 or a 1.

According to the result, we increment, or not, counter TEL 1.

P

B is given as the radio of TEL 1 and data bit counter.

B L

0

C K 11

Output of the results

For each we have to output TEL 1 and TEL 2 then output sequence will be: first: with a mask isolate the 3 right most digits

second: move these digits to R4

third: add 1 in the 4th and 5th position of R4 Thus, we have now, an ASCI I character

(14)

print it on teletype fourth

fifth shift TEL 1 three position to the right to transmit the next character and go to first

However, we have to remark that TEL 1 and TEL 2 apprear on the teletype with upper character being the rightmost.

Exemple:

If you read on the teletype 4531 (8) make the conversion 1354 (8)

B L 0 C K 12

Incrementation

This program can run itself and we have included a self incrementation for L and p till they reach their maximum values 15 for L;

3D for P.

III RESULTS

We obtain two sets of results for a numer of information digit first 216 and second 220.

We can expect better results for 231_1 data digits, but in this case the complete experience would spend 2 hours x 70 = 140 hours~

The first set of results are for the majority decision method.

The latter results are for the method establishing the best survivor.

These results are mentioned both in table and in plot diagram to show the influence of the path register length on P

s• P is then given as a parameter.

(15)

Results

~

3 4 5 6 7 8 9 10 11 12 13 14 15 SET I -3

PB 10 with magority decision on 1

nota results for magority decision on 0 and on 1 are closed.

16 number of cycles 2 absolute error of p = 2 x 10-5 2 -7 2 -6 2 -5 27.4 55 69.5 20.1 40.8 82.5 8.9 18.9 42.8 4.8 11.7 28.1 0.68 3.04 11.5 0.38 1.97 7.9 0.2 1.16 5 0.04 0.71 3.1 0 0.42 1.8 0 0.32 1.25 0 0.29 0.66 0 0.2 0.7 0 0.12 0.53 2-4 2-3 204 369 167 337 106 281 76.6 250 48 222 36.1 202 26.7 183 17.9 170 14.9 159 11. 6. 153 9.55 145 7.95 141 6.7 138

(16)

SET II - a

10-3

Results: PB with Deciding according to survivor with lowest metric

~

2 3 4 5 6 7 8 9 10 11 12 13 14 15 46 Number of cycles 2 Absolute error on p

=

2 x 10-5 2 -7 2 -6 0.308 2.29 0.29 1.83 0.244 1.57 0.107 0.885 0 0.504 0.457 0.32 0.29 0.214 0.122 0.122 0.099 0.066 0.03 2 -5 2 -4 2-3 7.55 32.6 209 6.7 28.5 194.5 5.7 26.2 184 3.17 17.85 166.5 1. 74 13.6 155 1.37 11.4 149.5 0.73 9.12 144.5 0.7 7.63 139 0.518 6.8 135.5 0.518 5.93 134 0.518 5.22 131.5 0.518 4.92 130.5 0.518 4.53 130 0.518 4.5 128.5

(17)

_ _

~~'t'{~~~ ~~J-\

c.orru

~oV\J.

1""0

_.

_~

It....

~""

...

\..:c,

~

=---=---=::

-;~ ~-:. ~-~

~~

"----~

~

L -'";>

2

'6

I.j

5

(:.

t

'6

:3

h I

L

Al

13

)

Lr

IS ..

(18)

SET II-b

Results P 10-B 3 with deciding according to survivor

~

2 3 4 5 6 7 8 9 10 11 12 13 14 15

with lowest metric 20 Number of cycle 2 -5 absolute error on p 5.10 2 -7 2 -6 2 -5 0.248 1.98 6.85 0.312 1.63 6.04 0.22 1.32 5.3 0.133 0.68 2.94 0 0.3 1.7 0 0.26 1.34 0.01 0.20 0.82 0.17 0.73 0.11 0.56 0.07 0.55 0.07 0.55 0.05 0.53 0.03 0.52 0.01 0.54

(19)

The people who wish to run themself these programs can make it very easily:

first: choose one of the three paper punch tapes corresponding to each set.

These programs are written in P.A.L. (Assembleur Language of the PDP 11) and must be run on PDP 11-20 with additional arithmetric element for working with double lenght word;

second:start the program a first time with address 2000 and a second time with address 2420. The program is waiting for parameters Land P;

third :type from teletype the choosen values of Land P. Thus the program would

run;

output:you will received 70 couples of datas, each corresponding to a complete cycle. The first value divided by the number if cycle will be PB'

(20)

BIBLIOGRAPHIE

1 Convolutional codes and their performance in communication systems A. Viterbi IEEE October 1971

2 The Viterbi Algorithm

G.D. Forney Proceedings of the IEEE March 1973

3 Random Number Generator

T.E. Hull and A.R. Dobell Siam Review July 1962

4 Generating and Testing Pseudo Random Numbers on the I.B.M. type 701

5 Seminumerical Algorithms - The Art of computer sciences

(21)

BE6'\I'~

rOloC. " '

-I

I

e,loc.

...t

.2.

Me.mo

f''(

re

6&f'IIdI"", 0<\ \l;)\oc.

0

11'\\,,,t

"cue,.,VI

L ..

-i

~

..

,?>o

& ~Ioc

It

~\oc:.

5

?o.~ ~r~

nca\s,fer

- - - l

I

I

I

I

TE~2.:oTeLl. .. -L

I

I

F-=-

-=

=

=

-=

=

:;-00 :-

----=-

=

-=-

I \

I

~

loe

T

{C.\lA,Cl>t\

-{o.o

I

I

I

I

~.A-i

=

I

!CJ>.1,cbZ.l-f-r,-i

I

(22)

I

I

I

I

I

I

Do~

-~ (M,(.J)-~

H

0, l)AO :=

,

GM/C.ll~l-\'IO

L _ _ _ _ _ _ _ _ _ _ _ _ _ _

I

I

I

I

I

I

I

r

-'Oloc.

8

9.~ ~

""111+

"boO R~: I'\GI1"'!I~

- - - -

I

I

I

I

!

I

I

I

I

I

I

I

I

I

I

I

I

I

<

CQ.\\

FL.I P to\AN -:.~i!> f .... tI '" P .... o ~ltlfT I'I\~

Ca.ll

Hie

MI!>" ~

it!>

i'P..I'I "PliO ::'HIFT 'i'1!>I'I \1 .... 1'\ -:. R~ P A-ti -:. Peo ~IH"T PAil t'le.~ -:. R~ ?P.>1'l 0 1'>

c.o

I~C

I

I

I

I

I

I

I

I

I

I

I

\

(23)

Co..l\ FLI f'

<

MOl -::~!> Pc 1'\ ~ Pe,o SH,Fr Pc>! iI.!> : ",e.O.bD f!~ ~ \0\'1>0 .. 1>.-1 0 Ca.lI f"LIP Mtlt\ .,.

R?>

I'b~ :

I"

I!> 0

5H '~T I'\) 1'\ ';> Mc:.1{ -::. FlLj Pc 1'\ ~ P'bo ~K'F-r pet-! M"\)~ ~~L, ?'b '" -:: P,!)o ~K'~T 01"

_1

(24)

- - -

-I

\:>\0<:'

j

~I!or\ - ~Alo\ ~c.!'I - M~IoI "''\Iii - MA~

r - -

--I

'R>\Oc..A

0

I

I

I

I

1

I

I

I

I

I

I

I

-

-... ,,'" -\'iblol .... ~14-..,bl'\ I"\C.N - M b 1'\ I'\\) to! ~ 0 =0 =0 1

1-

- -

-- -- -- -- -- -- -- -- -- ,

y 1'\ A r\ - I"\e. '" M I!o '" -1"\( 0-\ M b ... -to\e. '" M'-I'I ~ 0

-

-=-1.

MI\.ro~

+-1.

=1

M,oUoj:l +-i. ,,-\. MI\-Jo~ .. -i

">

\'IMI _ 1'\1'>11

III" ...

-l'\tlN ~Ol\ -~P..I'I. "'P,,~ = 0

-

-

-

-

--I

1

I

I

(25)

I

'?::>

loc.

~

I

I

I

I

10\ ... to\ - \'\t 1'1 l'\t!.tI - l'It"l I"\\:)t-I - 1"1(1'1 ,""el'l ~O "''' t'\ -t\ Ill'\ "'!b t\ - 1'o\\)1'\ '" (. 1'\ - '" 1:\ '" III "\:) \'I ,,0

L

_ _ -

_ _ _ _ _ _ _ _

t\,,~ - \"\~ I'ol "" C. ~ - VIlli '" Mi)1\ - MI!)", Mil.> 1'1 ,,0 ,,0 to\ P.\ '" - '" 1\ I'ol 1'1<:1'\ _MAti M 1:\ '" - til A 1'\

"'''1'\

~O : 0

-

-

-

(26)
(27)

-0(,H100I ,<1 = % 1 000(102 R~~= %2. \oHm003 R:I= ;1:3 ")00004 R-l= %4 000005 R~;= % 5 000006 SP=;l:6 1 77':>6ii) T',S= 177560 177562 TI(B= I 77562 177564 T,'S= 177564 177566 TI'B=177':>66 002000 012706 M::lV #200! l. SP 1102000

,

002004 0000130 pAO: • .>:J RD 0 002006 O00000 PBI) : • oj) RD 0 002010 0000(10

pca:

~J RD (1 (102012 00000,j 1"00: •. '(JRD 0 002014 000000 PAN: ""Y)RO

"

002016 000000 PBN~ • :!ORD 0 0021320 0000130 PCN: • ' . .;0 RD 0 1302022 000000 pDN: • \..0 RO 0 1302024 0001!100 MAO: • WORD 13 0132026 00001313 MB;) : • AO RO 0 13132030 0013000 M CO: • .ORO 0 012032 000000 MOO: • WORD 0 0132034 0000013 MAN: • WORO

'"

002036 000000 ."IBN: • .ORO 0

fJL,c

-1

002040 00131300 MCN: • WORD

'"

002042 000000 'ION: • ''')JRD 11 0021344 13130000 TELl: • :.0 RD 0.0 0132046 000000 ,.' 002050 000000 TEL2: • '.0 RD 0.0 1302052 000000 002054 000000 CD I: • '.oRO 0 002056 000000 CO2: • 'NJ RO 0 002060 000000 000: • >.ORO 0 13021362 013130130 01 I : • 1M) RO 0 002(164 0013000 Del: • ~ORO 0 002066 000000 010: • WORD 0 002070 000000 L: • WORO 0 002072 000000 P: • \\0 RO 0 1302074 1300000 LG:.WORD 13 002076 01313000 PE:.(,ORO 13

032100 00«Ji100 BUJ': • i;uiW 0,0

002132 (1000130

002104 '210000r~ GETA: • WO RD (OJ, 0

13021136 0001300

13021 113 130013130 COUNTR: • \.JJ RO 0.0 13021 12 0000013

01321 14 130001313 TOUR:. WORD (I)

177302 AC=177302 177304 MQ=177304 1773113 SC=177310 177311 SR=177311 , ,.. !".

(28)

002116 ~000~0 TAMP: 002120 (100000 ,J~J2122 00'10'.1" O\J;<lY:. ',!) fW 0. in 0(~2124 (1CHWvl(J ,102126 ,'12SIOI 002130 013503 PRG:MOV (kS)+.RI MOV O!(kS)+.R3 :>'02132 177302 002136 000002 002142 01 27!i10 ,'10 V .tAC. '<fl ll16110 MI) II 2(HI).(R0) 0111613 "10V ( R I>' 2( R0) ('00002 002146 012767 MJV #IS •• 4SK (10() 11 I 7 175142 1)'12IS4 016067 M'JV 2(R0>'lA,"IP (~H1'HH12 177734 002162 011067 MOV (Ren.TAMP+2 177732 ~02166 016110 MOV 2{RI).(R0) 1~00002 002172 011160 MOU (kl).2(R0) 002176 012767 MOV #I.ASH 00(Hl01 1751 12 0022~4 066067 ADU 2Ckfl).lAMP 00(1'102 171704 002212 005567 ADC TAMP+? 171702 002216 061067 ADD (R0).TAMP+2 177676 002222 066711 AUD TAMP.CRI) 177670 002226 ~05561 ADC 2(RI) 000002 002232 066761 ADD lAMP+2.2(RI) 177662 0000'}2 002240 042761 BIC #1000A0.2(WI> 1f1<Hl('l(;l 00 fl '3" 2 002246 305060 CLH 0fl0il02 002252 30~260 INC Oi~iJ(102 002256 005010 CL~ 002260 010367 MJV 17S032 2( R0> ( R(~) R3. ASH 002264 ~21061 CMP (~0).2(RI) (1010002 002270 0002~5 HIS R5 002272 012501 FLIP:MJV (RS)+.Rl =

---;

(29)

,,,rt23f14 rj ~:H1 £H12 ;10231,1 0,j0:117 175:1l'10 (1;:12316 (1(1 ~(1 () ~~ I ??S?i> r,02324 I 71574 V~233(1 i)f)l1002 (Hl2334 N;(!l(102 (1 ,;,) 2 3 41·~ ,)('li10 (1 I 1747:'9) 0023 4 6 000(102 177546 002354 177544 ,);)236(1 177S4,1 ~~02364 177'>32 002370 :10;:HH12 01'J2374 177')24 i:H'('l[1(12 016111'1 ;J12767 " I 6(·' 67 ill 1<)67 (11 1 1 6[,1 1-)]6110 012767 06MJ67 (l05S67 061 (J67 0;'671 I 1'10'>')61 ;%6761 M.J V M,J V ~"I'J V "'1') Ii :<j·)v M)V ,"!JV ADD ADG i\DD AllIJ AllC ADD 2(RI).(R7I) IIIS •• ASH 2( Fil)). DU'1Y (R0).DUMY+2 ( R 1 ) .2 ( k'.l) 2 ( HI) • ( Rfl) ;1'1. 'ISH 2< RI» • OU''1Y 1JU''1Y+2 < R(\) .llUMY+2 llU·'1Y. < .~ I ) 2( R I) UIY-1¥+2.2< RI) 002402 042761 BIC '1('l0000.2(RI) 10(1\~r1;;j (),\\1002 002410 622761 c~p #40000.2(RI) 04MltJ0 00(1('02 002416 00020'> liTS k5 '7)(12420 00'>267 !.\jC TKS ~ s.r~"'V\~ ~ 175134 (j024:;>" 1(1'>767 KL.A~j:·IS18 r~s 175130 ~0?43~ 1(j~37~ bPL ~LAH 0~2432 016767 M0V 1~8.LG 175124 177434 00244:1 (j42767 8IG #177760.L.G 177761'1 177426 802446 016767 ~0V LG.L 171422 177414

(30)

0\124~~

0;,J6367 ASL L 17741(1 \ Il~\2461 0(16361 ASL L 177404, 0(\2464 006367 4SL L 17 7 40[~

,

00241(.1 0W>261 I,~ C T«: S 11~064 002414 H' ~16 7 «:LAI:TSTfl TKS 1 15(1)',J Oil 2 :.,~ fJ I ~Jr1315 llPL '<LA1 [1025(12 '116161 r~,J V "K 8, Lij 17~I'J~4 111364 0,"25HI 042167 BIG #177160.LG 1117 61'1 1773:'6 ;j02~16 066167 4LiLi LG. I. 1173':>2 111344 ;'1112524 fle» ~26 7 DIC T-<: S 175030 0a253;1 1'1~'/61 LUS0: 1Slk 1-<:S 175024

~t~2534 1 i1\1375 BPI. LU,,(1 1-,(,\2536 01611,7 1'lQV 1K8.P£ 115020 111332 0(l2':> 44 "42767 BIC 1t177760,PO: 11776[·' 177324 0;125:'2 (116767 ,'oj I) V PE,F' 177320 177312 002560 ,lf16367 ASL P 177306 0112'>64 <);16367 ASL p 177302 002 ':> ?:J 006367 ASL P 177276 002574 005267 PIC TKS 174760 0912600 IO~767 LlJSI:TSIB 1-<:0, 174754 f1fJ26;,) 4 10037:' BPL LUSI (1026,)6 01671)7 W) Ii TKBd'E 17475" 177262 0(12614 (..142161 BIC 1t117760.PE 171160 171254

0a2622 :166167 ADD po..P

1772:'0 111242

,,")263;) m):,0:;11 STAin: CLR 1'<1

(31)

002640 1'1135(1,lS ClR R5 002642 OVl~067 ClR ?A) 1171:36 002646 00~067 Cl" '")I:-;l) 117134 002652 1],15(167 Cl

f,

PO) 117132 0(')2656 0!1 5116 7 CL.'< f'iJ) I 77 I 3.' (')(12662 (')115067 CU, PA:-J '~ 177126 002666 0r15:~67 CLI, P8,\! 177124 1102672 0(15067 ClR PCN 177122 ~ 002676 ;1';) 5.) 6 7 CUI PUN 177120 002702 ('112767 ,"'uV 112.MHJ

nLx

~

01'10002 177116 00271 i'l (1,12767 M:J V # 3 .. ", C) (100(103 177112 002716 012767 M]V 113.MIJJ 11013003 177106 0112724 (1135067 ClR MilO 177('H4 1')"2730 0(15067 ClR TEll 1771 Hl

0(12734 Ilf15(1 6 7 Cli< TEl2

177110 0"2740 01J5(167 ClR C:) IPJ T F< 177144 002744 01?7f,7 MJV #077 6;H". C) IJ,\) 1 R+ 2 'J77600 177140 002752 fjl2767 MJV 11177777. HUF 177777 I 77 I 2,) <10276(1 (;12767 ,"'0 V #177777.8IJF+2 177777 177114 fH12766 ,112767 ,V,) V 1t177717.GEIA 177777 177110 002774 012767 ,"'0 V #177777. fj~~ IA+2 177777 177H14 003rl(~2 016703 M'JV L.R3 177062 (1::13006 005202 I'J C H2 003~11 ;1 (1063"2 EO IJCl U ASL

r<2

(32)

L

Pj.,<-177052 003016 001374 BNic HJUCU; 00302(1 YJ\(1367 ,'10 V R3.L 177044 03:1W>.4 ~3(14567 8EGIN: JSk R5.PF"C' 177076 003030 002100 • \-.>JiW aUfo' 003032 002v172 • wORD P 003034 100003 8Pl EEN 003036 Ml5067 ClR COl 1771112 003042 ,;),)(1410 aF< TwEE 003044 012767 EEN: MJV III. CUI 000(101 1770132 01331'152 062767 AUt! il'I.lEl2 o fl') W' 1 17677'<1

'tioc

G

003060 005567 ADC TEL2+2 176766 003064 (1[14567 n,EE: JSR R,>.PRG 177036

003070 O,121 (10 • \\U RU aUF 003072 {1~20 72 • "') RD P

003074 10(,)003 8PL f)NE

'1'13YJ76 YJ05067 Cle: CU2

176754 01)3102 0010410 8); Twa 003104 ['12767 'JNf: MUV III.CD2 001~001 176744 0031 12 062767 AUU III.TE.L2 ~j00001 17673'1 0(13120 005567 AUC TEL2+? 176726

0(~3124 016703

Twa:

",I;) V CUI.R3 176724 003130 066703 ADD ClJ2.R3 176722 003134 (>')('>367 M'l II R3. DIH' 17672(1 003140 v)12703 :-10 V 112. R3 0000(12 003144 I 667f13 SUH COI.R3 176704 fJ03150 166 7eJ 3 SUB CD2.R3 1767(l2 003154 IllW367 M'J V R3. I) 1 1 176702 00316\1 ,,'12703 :-1JV #1.E3 ~H10(1~i1 0Vl3164 066703 AUU CDI.H3 176664

(33)

1'11'13171'1 16"71'13 SUB C02.;{3 176662 01'13174 010367 ,"'0 V "~3. tJI·j I

{bk,

t

176664 l~fl32(1(j 012703 M')V # I. R3 1'11'101'1[1 I 003204 I 66'H13 SUB CUI.R3 176644 1'11'13210 '166703 ADD C1.J2.R3 176642 003214 '110367 1'1') IJ R3.010 176646 "0322[1 'll 67.,3 \'"1:) V MAO. R3 17661'10 0"3224 1'166703 ADO [J0(i> R3 I 76 63r~ 01'13230 (1\6704 ,"';) V MC']' R4 176574 003234 (16671'14 ADD D I I. R4 176622 00324[1 02(13114 C"'IP 1'3. R4 01'13242 Wll406 BEl) GELA fllil 3244 I 00C'! I I BPL A 003246 o HJ367 ATU G: ';"'J V R3.MAN 176562 003252 006367 ASL PAN 176536 003256 "H'J04 1 3 Bk

'"

0\l3260 004567 GELA: .J S,~ k5.rLIP 177006 003264 (102104 • y!] kU GI::TA 003266 \(10367 BPL AT)G 00327n 01(1467

A:

1"1') V ,'<4. MAN 176540

~L<l

00321 <i 016767 MOV PC).PAN

1765 HJ 176512 Vlfl3302 ;\'cl 63 6 7 ASL PAN 176506 (H~ 3 30 6 (1167113 8:MO V ,~A,).f<3 176:"12 0(13312 :'166703 AUU UII.IO 176':>44 003316 0167~14 ."1J V ·",C.). R'" 176':>06

I~03322 066704 ADO D(1,1. i<'"

176,,32 003326 "20304 Cr~p H3,F{4 003330 031413 8[(,i GF;U; 0(13332 H10[J16 Bi'L C 003334 v) 1(1367 Cli) G: :-1') V R3."I8'J 176476 003340 016767 MJ Ii' PA'). PRN 17644,j 176450

(34)

1764LJ4

"',",33,)2 (1)'':>267 PJC P F~I\J

1764LJ0

0i1~j3':>6 :10041':> f; ."< U

00336') ">-14') I'; 7 GELC: . J :., 1< RS.I'Llf'

1767('6

0W3364 r~C'12104 • 'In RU

(;EIA

00:1366 I fLJ]6? HPL t.; 1" ) (;

(1 ('I 3:j "1!-1 i1l0467

c:

,"I') V !~ Lh :'01 f~\i ~

1764"2 (3.1 ~l.3 7 4 016767 '''1) V PC').,...8'>1 1764Hl 176414 0(134:12 [106367 'ISL P8N 176410 (l:-l34'~6 (10'>267 I\IC P8N 1764(14 0[13412 (H 6733 U: '1) V 'IH). RJ 1764H~ ;1Z13416 ';)667:13 'IUU lJI0.r<:3 1'1644LJ ['H'l~-42? (JI 1,70LJ '1.) \I ,'1 I)) d:':4 176404 01)3426 ()667:14 'lUll lJ0 I • ;('. 176432 ';\03432 ." 2(1304 CMf' R3.!<LJ

~~c

1:

0(1343LJ (':11 411 "EO G~~GE 0(13436 I~H~01L! Hf~L E 101~134~~1 L'Jl036'1 E 1 J G: ,'1) V

t,

3.·'1 C.,. 176374 003444 ('16767 )'),) Ii PH,) .r'C,\l 176336 176346 "03LJ':>2 :·)M,367 lISL Pl.;', 17634:2 :M134':>6 v~~Hi413 Hh r" ~1(~ 346(1 fH)4'>67 Gf::GE.: ) S f< '<:'>.'"LI P 1161,06 %1»:1464 :,·1:12104 • 'it) Ru Gr~ I A ":-)3466 1:1:1364 81-L i:..:"j j r; "'I13LJ7;) ;'11 '1)467 t:: ,'"'!J V t< 4 • 1'1 (;'\1 176344 ~'~~13L47 4 (,,167':'1 .~,) v f'U).l'C"l 176312 176316 (103~'12 [1,16367 4,sL PC,~ 11631;;> ;~03:',~" :~ I 67\13

..

: '~)V :<Jhl •. '13 116314 ll03:'12 ,.J I:i" 7(13 :1 iJLi

on

I •.

'n

176346

flO3~16 i'l I 6 -,

,1<.

"") JV ,'"')0), i;;-4 176310

"M3~22 ~l"h7,:14 l\lJU Ul~-'.i\"4

(35)

rU3~26 )J 20 3(~ 4 03 3~3\" (101"13 v1(13:,32 1'-1£";116 W~3~]4 :11 :J367 G"J)G: 176],)2 003~4(1 :~16767 176242 1762",4 ('03~46 0("6:]67 I 762~'!l :)03~':J2 :J(~5267 17624" (·1:A3':>,)6 ;3"1-.)412 P:,13560 ;1:14567 G>~L G: 1765(16 i'l13,)64 ',1\121»4 ,103'>66 IilfJ362 0;13') 7~ 01vl467 G: 176246 tHl:35 7 4 d(,16J67 176222 0~L36v, .. " 01';',267 176216 O:1J60 " 01,,71\7 '1 : 17(,2"'4 176172 :ih"3612 ill6767 176200 176166 :10362'~ 1116767 176174 17(,1(,';' ,303626 :116767 176170 11('1'>6 ,)f.1363.o '·"~6 7 1:>-' 1 7(,1 7.0 176174 ';).;j 36 4:':- "f) I

"w'

J 0<1:364£1 I 1110"" ~. 1;l(oJ646 :'10(11 (-,/ fHl111S4 ('1('1 36:,? ~·1 ';-~ ~J ~ 6 7 i3b[4. : I 7 6~..j 1 4 fH136'>A (·~~')~~I 04 0('1361'.(; I :1(1n~12 (Jr'3662 '10'J 1 67 ;Fl'11 .ll';~ 003666 0~67~7 ~ll: 1761"" 17614 .t4 Ci";P f,3, R" 8Eli G I:: 1_ (; "PL (~ ('vi') V «3,110"1 "},) V PH), pu.\! ·\SL PU" INC PO·\I H'~ >1 .1!:' i~ i(:J,jOLI P • '~v') KU GEJ"A bPL 81 ) (,

l)Loc.

'l

;>1)V ,,4, ',1l)' ASL Pu.\I I'<C Pt)'\,j !"lJ V pA\I,f'A) ,~,)V PI:;~,PoJ ,"i) V PCN,PCl

,'I.} V PlJi" , i>U)

C:'~'IP MAN. r'tjS~ t~~ t-) GHA bVJI ilLi JiV; P VtlH 151< ><'u FU P • 1/.'.) ;~U r.;",',A HPL

ALI

.r"'~ lIilA

(36)

,Hl 36 7 '" I ',i(" '" I ':1 ,)(j37:1(·) :-1:·"1167 0Wl262 003104 ;104~67 GCA: 17~362 0,1371;; W12104 0[13712 1,·"1[1'12 fJ:13714 'Hm161 \1')(" ? '" 6 003720 026767 ALP: 17lillrl 176114 0(13726 (101403 ~-1(137]~~ 1~.~~1.{~1~·1 003732 fl00167 JMP 000336 <lin 7 36 17633:;1 ~'H'i 3142 'Hi 3 7 44 003746 ~1~~(~ 322 ilC13752 176()56 176"',5 ;';1376r~ I 7605';1 176[152 0'J3 7 66 I 761142 176(146 '~yt317~ 176(;34 0'140:1 ;, 176:11:; ;,:-'l .IJ·~1 ;,' ~ C~~1~nO;' ·~h14D I ,,~ " ,H1

"i1

1 176026 (lfl4<l11i 171i(124 C1~" L!ril~?2 (j0:il316 :1»4,1P 6 1760,,4 17611';4 f1v14567 (-1('~? \ ';14 IMI002 ;1 WI I 67 166767 1667b7 166767 ~'!:1 S~~ 6 p, '1167.n (-13 ?12-:.1 ~3 0i'lI5~6 062767 ,;):).,., (, 7 ',1;1 '" I (, 7 :,267(,7 PI;~ 40 34 0~~ 1 .(.jl.~ 3 '~:'1tH1Jfi 1 [·':-"141l1 ~A(~L.I~14') ~'~';"l f,1 IJ;·h' t 22 Gl)4 : Al3: AUll AUG V'IH: 8£U GCA t<'~1 Al:? ,JV,P VAC • Io\~) ~u Gt:l;l. Bl'l Al2 J"lP VAC BE'! (;UA H;~l Al3 VAD ·J~R 1'15. FLJ P • W ) KIJ (;ElA foWL 4L3 JMP VAl)

SUB '~A,\I • ·VI fj.~

.sUb ,~-'\,\J • 'oj C.\i

~Ufl L"i'\N.'vjL'-'J elM: '" A.\1 ;~ 'J V .. o.N.R:1 HIl :.;..:~ • (\:3 BE.!) ~LM\" #1.1F_LI 11'.'_l+~ .Jv,e -<L.AAR eMP -Y)M\I,;VJC'", Ht.li GCH I-; Vi I )LJ

>

l)[...\. · ) :Yl1)

v

'v;

0(·14044 (1ij4~67 GCB:JS,"( "5.~·Ll;> 176222

(37)

I • ,1) fW (;EIA ~1(') 4::1 ':>2 I :"''''J02 b?L ')L I 0(14:~~4 '1,.j';.) I 67 ,IMP VAC ,1(~[" I :16 M:·) 40 6[1 Vi26767 .J L 1 : C·'1P ."1 8 \I • v,t}\J 17"'7~2 17':>754 ;l(~4066 ;1 ; . ., 1 -4(.) 3 [3"-'1 GUts 2),;) 4 VI 7fl 1 r.H-14 I 0 8'1! lL2 0214[172 '1:10167 .J'Y"P VAD (:HHll 7 (, ~~ :·l.{~l-; 7 (, ::";1_i\4~67 GIJ8 : ·JSR R5. FLJ P 17617f1 3041'12 [1,;)21'14

·

\,'Jr(o (;t;.lA '·1(!141 '::~.4 I,HHW? bPL 112 (,1041,16 6:10167 IV: P Vr,U :.\~'J 162

(1~ i41 I;:> 166767 ')l2: ~UB r~ t<:\j • M A'~

17~720 175714 0(1412,\ 106767 SllH MB,'l."lCN 17:>712

~"

~

~;.,

17')712 W14126 166767

."u

b .~ H''/ • M U\I 17')7':14 1757<16 004134 (lW)',~ 67 eli-; M8\j 17')676 '..)[1414:1 ;Jl 6 ];~:) !v, J V PH.'II. ,,3 17:'6':>2 ~~(~4144 (J3020:, " 11 R2.R3 t~C14}46 ;1(11476 lit: u -<l AA,,,< '1~' -4) ::":1 ;162767 clOU i/1.1I::L1 ~~~1:1(:1(" 1 17"'666 ,·n412>6 ,H1':>"''''7 AUC H_LI +2 17'>664 i;j(J416? ':.1~1lj 16'1 1'~ P '<LA4f<, ,;W:11 ':>6 [J:1416f:. '1",6767 VAC:

eM ....

,~c~.·v,tJ\i I 17':>64f:. 175646

(ll14174 (·1(:1 1 4'?IJ hEu GuC

(104176 1;1(1Lll(;~ "M f t.ll

k1 (1 42 ~.~ ~1 i100167 ". li'I' ) , ,oJ vAll

~10.!1(1"1)1 C3l1 ~2;':1 Lj fj .;,) '" '> 6 -, GllC: JSf< :.<~.

r '-

I P 171,',162 ;J0421'~ ;)02 H! 4 \-, ) i<u iiE'I4 O'~4212 l:h';L12 b~':'L ELI ,:,-(14214 0(1';" 67 LJl r.J 'JAU ;1r~0'7J~4

I~~'" Li2~(1 16h7h7 U.1 : ~-(jf, ~C\J.r·ln\J

17561L,

(38)

I 7~6i16 I 7~Ml2 [1('4234 166767 SUM r'1 C \I .. rv: IJ.~ 1 7~6\1(1 I 7~6(1,' 004:?42 C1 ~~ :,(" 61 CLI< MCN 175572 004246 0161<)3 :<IJV PCN.H3 17~~46 1M" 42:>2 031:1203 BIT J.<2.R3 0114254 0"1438 b"iJ KLAAk fl04256 06'<!161 AUt) #I,JELI 0(10001 17~560 0(14264 '105567 ilDC H.L 1+2 17~556 \10427 ;j :·h1!1167 j,,,!P -<LilAH (Y~W150

004274 166767 V"ID: SUB !." U'J .. :~,.V~

175':>42 175532 004302 1667f>7 ~U'" ... / iJi'~ ... '1 H\J 175534 1750,26 ;J:1431\~ 166767 SUB IV'jUN .. ·....,C: ... 175~26 175522 004316 ';",5(.167 eLR f'1IJ~ 175520 ~"14322 :1\ 6703 :Vi,) V pU'I.;:n 175474 004326 ~1302'13 fl I

r

.',2 ... 3 0,}43311 0;',1 I 4';)~ 8EO -<LAAF< nc·~ 433~~ [162767 4UU *1.rELI O~'~~f1!{)l 1755;.14 0(1434(1 :1" :>56 7 AUC T"LI+2 175502

(·H'43L!4 1l11,7£,7 -<LAI,r<: "IJV "iI","!iI) 175464 1754':>2 0;,~ 43~~ :J\6767 "I)V ,V,h,'IJ,"lH) 17546:; I "/ ~446 ,111436;;) VJi6767 I'I,)V ,"1 C.\!. ,"lC) 17':>4':>4 175442 ,104366 1:116767 VI;) V ,"1U'\/,"iU) 17545'1 175436 3\14:374 :162767 AUu II I , C)Ij,,/'1 R v.\ilfHH11 175'>:16 ~0 44"'~~ :JC15'>-S7 ilUC C) U\l1 R+ 2 17'l'l114

(39)

176"1(1

1:1""14 022767 .):n :C"1P #0.TJUR ,"'011110

17'::>472

{~044c2 "0 14i~6 HEll CAR

004424 ;)22767 GMP #2,TJUK 00IJ(11'2 17'::>462 W:14432 ';';)1016 fj\lE GJ')'" 1)(14434 (j0 50 67 eLK TJUR 17'>454 0914440 \(~'::>767 GAR:T::;IB IPS 17312(1 ;:",4444 111;)37') fOWL yAI-< 1)04446 ,112767 >1.) V #15,IPB 0f10015 173112 Wl44'>4 1':15767 LF:TSTH IPS 173 If) 4 001 <446'~ 10'137'::> HPL LF" (-11'1." <4 6 2 ;112767 ~I'JV fI2,TPB C~00H112 173,'176 '~[1447:1 :JVJ ')26 7 G )')''11: I 'lie TJ UR I 7 '::J <42:1 ?)(1 447 4 ,)1 27,J\1 )11,) V #AC.R"l 1773:12 "0<4,)00 ;)16760 '''1') V TELl,2(R0) 17')340 (1000(J2 1'191<45'16 01671"" MJV n~L I +2, (Kv» 17';33" fj(14,) 1 2 0127(13 MIJ V #11.",/3 0"0(113

(5)<4516 fJIMhJ4 LJJ'->I :MJV 2( RI1) .k4

Hn00~2 004,)22 1142704 BIC #177770.R4 17777(1 t1n 4'>2" "'627"4 AUU #00. R" 9100116;1 v)Vl4')32 105'167 EUI11:1S1B TPS 1 73f126 (:H14536 1(~~1::S1,:) BPL Ell 11 1 0(14540 "1'141\7 "I,) V :..(.4.1.08 1 73(J22 004544 012767 "I'JV 11-3.ASH 17771'::> 172544 'il04,)'::>2 0'''53113 DE.C '<3 (:j04~~4 i1'~1360 BNE. L',)) PI 004~~6 (1127(13 MJV .. 11'£0< • • t<3 "'""1\110 IHl 45 6;:> 1;.1~7"7 I '·lP 3: .j ~j H roll

,

~) 172711\

(40)

~H14566 1\1(;j37~ 8PL I'lP3 00457(1 "'12767 "';)V ;t4",.lPS 00M14:~ 17277,) iH14576 (10. 53~13 OEC R'3 f10460.'" ()0. 1370 8NI!. IMP3 004602 012700 ,'10 V ;tAC. FIn 1773(;12 <104606 016760 ,'UV TEL2,2(R0) 175236 0O,"102 V!04614 .l1671'l MO V TEL2"2. (R0) 175232 004620 0127<13 MJV *11·,R3 ,)0",013

i~'" 4624 [II 61;H~4 L,jI)P2: M) V 2( R0), ,«4

0~CH3C'2 0\1463(j 042704 dIC #17777'11. .. ,4 11777'/) ;1'14634 ,1627'~4 AOD ;1160., .~4 001)060

~

rl(~464';) 1115767 EOI 12: 1 SIB IPS

AI

17272,) 034644 IfH:l3 75 RPL ELl! T2 0.04646 010467 ,'1Ll V ;<4,1PO 172714 ~H'4652 (112767 MOV #-3. A,sH 177775 172436 0(1466[1 '10.53"3 DEC 1<3 1'1(14662 0,\13611 BNE U»P? >'1(14664 fll2703 MJV *2,,(3 ClW1;J02 110"'67fJ 10':>767 ;;PACE:ISIH IPS I. 1726711 r10 ",6 7 4 \(1(13 7 ~ BPL SPACE 0.04676 012767 )1.) V #41'1,lP8 ,1(11(>,040 172662 0.0"'70'" 00531~3 Of.C ;;;3 (104706 "''''1370 bN£ SPACI!. 0.(1471" 0.\1':>;>67 I~C L 1751':>4 fH'l47 1 4 0227(,7 C·'~p I; 15 •• L 011,1(>\17 17S146 fj04722 (1~11 4P2 foEU ClU\j'11 004724 000167 y~p ~;I I\'(j 1757(10 \1('\473(1 :)(A. 5fj 6 7 C:J UN "1 1 : r; 1_ K L 17513'" lW4734 812767 '»,)V # 1 ,L ,10 f"J 0 I 115126

I'Hl<l742 >1(15267 INC I-'

(41)

~047~6 022767 eMP D:li~(J:j~ 175116 004754 001402 b~~ 0~47S6 000167 JMP 175646 CJ I)" 1~? SII'I,<1 004762 Ol0AOO G)U~T2:HALT I'AGE (.J 1 7

(42)

THE NETHERLANDS

DEPARTMENT OF ELECTRICAL ENGINEERING Reports:

1) Dijk, J., M. Jeuken and E.J. Maanders

AN ANTENNA FOR A SATELLITE COMMUNICATION GROUND STATION

(PROVISIONAL ELECTRICAL DESIGN). TH-report 68-£-01. March 1968~

ISBN 90 6144 001 7

2) Veefkind, A., J.H. Blom and L.Th. Rietjens

THEORETICAL AND EXPERIMENTAL INVESTI~TION OF A NON-EQUILIBRIUM PLASMA IN A MHD CHANNEL. TH-report 68-E-2. March 1968. ~ltted to the Symposium on a Magnetohydrodynamic Electrical Power

Generation, Warsaw, Poland, 24-30 July, 1968. ISBN 90 6144 002 5 3) Boom, A.J.W. van den and J.H.A.M. Melis

A COMPARISON OF SOME PROCESS PARAMETER ESTIMATING SCHEMaS. TH-report 68-E-03. September 1968. ISBN 90 6144 003 3. 4) Eykhoff, P., P.J.M. Ophey, J. Severs and J.O.M.

come

AN ELECTROLYTIC TANK FOR INSTRUCTIONAL PURPOSES REPRESENTING TIlE COMPLEX-FREQUENCY PLANE. TH-report 68-E-04. September 1968. ISBN 90 6144 004 1

5) Vermij, L. and J.E. Daalder

ENERGY BALANCE OF FUSING SILVER WIRES SURROUNDED BY AIR. TH-report 68-E-05. November 1968. ISBN 90 6144 005 X 6) Houben, J.W.M.A. and P. Massee

MHD POWER CONVERSION EMPLOYING LIQUID METALS. TH-report 69-£-06. February 1969. ISBN 90 6144 006 8

7) Heuvel, W.M.C. van den and W.F.J. Kersten

VOLTAGE MEASUREMENT IN CURRENT ZERO INVESTIGATIONS. m-report 69-E-07. September 1969. ISBN 90 6144 007 6

8) Vermij, L.

SELECTED BIBLIOGRAPHY OF FUSES. TH-report 69-E-08. Septaaber 1969. ISBN 90 6144 008 4

9) We stenberg , J.Z.

SOME IDENTIFICATION SCHEMES FOR NON-LINEAR NOISY PROCESSES. TH-report 69-E-09. December 1969. ISBN 90 6144 009 2

10) Koop, H.E.M., J. Dijk and E.J. Maanders

ON CONICAL HORN ANTENNAS. TH-report 70-E-I0. February 1970. ISBN 90 6144 010 6

11) Veefkind, A.

NON-EQUILIBRIUM PHENOMENA IN A DISC-SHAPED MAGNETOHYDRODYNAMIC GENERATOR. TH-report 70-E-11. March 1970. ISBN 90 6144 011 4 12) Jansen, J.K.M., M.E.J. Jeuken and C.W. Lambrechtse

THE SCALAR FEED. TH-report 70-E-12. December 1969. ISBN 90 6144 012 2 13) Teuling, D.J.A.

ELECTRONIC IMAGE MOTION COMPENSATION IN A PORrABLE TELEVISION CAMERA. TH-report 70-E-13. 1970. ISBN 90 6144 013 0

(43)

November 1970. ISBN 90 6144 014 9 15) Smets, A.J.

THE INSTRUMENTAL VARIABLE METHOD AND RELATED IDENTIFICATION SCHEMES. TH-report 70-E-15. November 1970. ISBN 90 6144 015 7

16) White, Jr., R.C.

A SURVEY OF RANDOM METHODS FOR PARAMETER OPTIMIZATION. TH-report 70-E-16. February 1971. ISBN 90 6144 016 5

17) Talmon, J.L.

APPROXIMATED GAUSS-l~RKOV ESTIMATIONS AND RELATED SCHEMES.TH-report

71-E-17. February 1971. ISBN 90 6144 017 3 18) Kalasek, V.

MEASUREMENT OF TIME CONSTANTS ON CASCADE D.C. ARC IN NITROGEN. TH-report 71-E-18. February 1971. ISBN 90 6144 018 1

19) Hosselet, L.M.L.F.

OZONBILDUNG MITTELS ELEKTRISCHER ENTLADUNGEN. TH-report 71-E-19. March 1971. ISBN 90 6144 019 X

20) Arts, M.G.J.

ON THE INSTANTANEOUS MEASUREMENT OF BLOODFLOW BY ULTRASONIC MEANS. TH-report 71-E-20. May 1971. ISBN 90 6144 020 3

21) Roer, Th.G. van de

NON-ISO THERMAL ANALYSIS OF CARRIER WAVES IN A SEMICONDU~.

TH-report 71-E-21. August 1971. ISBN 90 6144 021 1 22) Jeuken, P.J., C. Huber and C.E. Mulders

SENSING INERTIAL ROTATION WITH TUNING FORKS. TH-report 71-E-22. September 1971. ISBN 90 6144 022 X

23) Dijk, J. and E.J. Maanders

APERTURE BLOCKING IN CASSEGRAIN ANTENNA SYSTEMS. A REVIEW. TH-report 71-E-23. September 1971. ISBN 90 6144 023 8 24) Kregting, J. and R.C. White, Jr.

ADAPTIVE RANDOM SEARCH. TH-report 71-E-24. October 1971. ISBN 90 6144 024 6

25) Damen, A.A.H. and H.A.L. Piceni

THE MULTIPLE DIPOLE MODEL OF THE VENTRICULAR DEPOLARISATION.

TH-report 71-E-25. October 1971. ISBN 90 6144 025 4 (In preparation).

,

26) Bremmer, H.

A I~THEMATICAL THEORY CONNECTING SCATTERING AND DIFFRACTION PHENOMENA, INCLUDING BRAGG-TYPE INTERFERENCES. TH-report 71-E-26. December 1971. ISBN 90 6144 026 2

27) Bokhoven, W.M.G. van

METHODS AND ASPECTS OF ACTIVE-RC FILTERS SYNTHESIS. TH-report 71-£-27. 10 December 1970. ISBN 90 6144 027 0

28) Boeschoten, F.

TWO FLUIDS MODEL REEXAMINED. TH-report 72-E-28. March 1972. ISBN 90 6144 028 9

(44)

of the joint ENEA/lAEA international MHD liaison group. Eindhoven, The Netherlands, September 20-22, 1971. Edited by L.H.Th. Rietjens.

TH-report 72-E-29. April 1972. ISBN 90 6144 029 7 30) Kessel, C.G.M. van and J.W.M.A. Houben

LOSS MECHANISMS IN AN MHD GENERATOR. TH-report 72-E-30. June 1972. ISBN 90 6144 030 0

31) Veefkind, A.

CONDUCTING GRIDS TO STABILIZE MHD GENERATOR PLASMAS AGAINST IONIZATION INSTABILITIES. TH-report 72-E-31. September 1972. ISBN 90 6144 031 9

32) Daalder, J.E. and C.W.M, Vos

DISTRIBUTION FUNCTIONS OF THE SPOT DIAMETER FOR SINGLE- AND MULTI-CATHODE DISCHARGES IN VACUUM. TH-report 73-E-32. January 1973.

ISBN 90 6144 032 7 33) Daalder, J.E.

JOULE HEATING AND DIAMETER OF THE CATHODE SPOT IN A VACUUM ARC. TH-report 73-E-33. January 1973. ISBN 90 6144 033 5

34) Huber, C. ,

BEHAVIOUR OF THE SPINNING GYRO ROTOR. TH-report 73-E-34. February 1973. ISBN 90 6144 034 3

35) Bastian, C. et al.

THE VACUUM ARC AS A FACILITY FOR RELEVANT EXPERIMENTS IN FUSION

RESEARCH. Annual Report 1972. EURATOM-T.H.E. Group "RotatlD9 Plasma-.

TH-report 73-E-35. February 1973. ISBN 90 6144 035 1 36) Blom, J.A.

ANALYSIS OF PHYSIOLOGICAL SYSTEMS BY PARAMETER ESTIMATION TECHNIQUES. 73-E-36. May 1973. ISBN 90 6144 036 X

37) Lier, M.C. van and R.H.J.M. Otten

AUTOMATIC WIRING DESIGN. TH-report 73-E-37. May 1973. ISBN 90 6144 037 8 (vervalt zie 74-E-44)

38) Andriessen, F.J., W. Boerman and I.F.E.M. Holtz

CALCULATION OF RADIATION LOSSES IN CYLINDRICAL SYMMETRICAL HIGH

PRESSURE DISCHARGES BY MEANS OF A DIGITAL COMPUTER. TH-report 73~&-38. October 1973. ISBN 90 6144 038 6

39) Dijk, J., C.T.W. van Diepenbeek, E.J. Maanders and L.F.G. Thur11ngs

THE POLARIZATION LOSSES OF OFFSET ANTENNAS. TH-report 73-&-39. June 1973. ISBN 90 6144 039 4 (in preparation)

40) Goes, W.P.

SEPARATION OF SIGNALS DUE TO ARTERIAL AND VENOUS BLOOD FLOW IN THE DOPPLES SYSTEM THAT USES CONTINUOUS ULTRASOUND. TH-report 73-&-40. September 1973. ISBN 90 6144 040 8

41) Damen, A.A.H.

COMPARATIVE ANALYSIS OF SEVERAL MODELS OF THE VENTRICULAR DE-POLI,RISATION, INTRODUCTION OF A STRING-MODEL. TH-report 73-E-41. October 1973.

(45)

TH-report 73-E-42. November 1973. ISBN 90 6144 042 4 43) Breimer, A.J.

ON THE IDENTIFICATION OF CONTINUOUS LINEAR PROCESSES. TH-report 74-E-43, January 1974. ISBN 90 6144 043 2

44) Lier, M.C. van and R.H.J.M. Otten

CAD OF MASKS AND WIRING. TH-report 74-E-44. February 1974. ISBN 90 6144 044 0

45) Bastian, C. et al.

EXPERIMENTS WITH A LARGE SIZED HOLLOW CATHODE DISCHARGE FED WITH ARGON. Annual Report 1973. EURATOM-T.H.E. GRoup "Rotating Plasma-. TH-report 74-E-45. April 1974. ISBN 90 6144 045 9

46) Roer, Th.G. van de

ANALYTICAL SMALL-SIGNAL THEORY OF BARITT DIODES. TH-report 74-E-46. May 1974. ISBN 90 6144 046 7

~

47) 'Leliveld, W.H.

THE DESIGN OF A MOCK CIRCULATION SYSTEM. TH-report 74-E-47. June 1974. ISBN 90 6144 047 5

48) Darnen, A.A.H.

SOME NOTES ON THE INVERSE PROBLEM IN ELECTRO CARDIOGRAPHY. TH-report 74-E-48. July 1974. ISBN 90 6144 048 3

49) Meeberg, L. van de

A VITERBI DECODER. TH-report 74-E-49. October 1974. ISEN 90 6144 049 1 50) Poel, A.P.M. van der

A COMPUTER SEARCH FOR GOOD CONVOLUTIONAL CODES. TH-report 74-E-SO. October 1974. ISBN 90 6144 050 3

51) Sampic, G.

THE BIT ERROR PROBABILITY AS A FUNCTION PATH REGISTER LENGTH IN THE VITERBI DECODER. TH-report 74-E-51. October 1974. ISBN 90 6144 051 3 52) Schalkwijk, J.P.M.

CODING FOR A COMPUTER NETWORK. TH-report 74-E-52. October 1974. ISBN 90 6144 052 1

53) Stapper, M.

MEASUREMENT OF THE INTENSITY OF PROGRESSIVE ULTRASONIC WAVES BY MEANS OF RAMAN-NATH DIFRACTION. TH-report 74-E-53. November 1974.

ISBN 90 6144 053 X

54) Schalkwijk, J.P.M. and A.J. Vinck

SYNDROME DECODING OF CONVOLUTIONAL CODES. TH-report 74-E-54. November 1974. ISBN 90 6144 054 8

55) Yakimov, A.

FLUCTUATIONS IN II1PATT-DIODE OSCILLATORS WITH LOW q-SECTORS. TH-report 7--E-55. November 1974. ISBN 90 6144 054 6

Referenties

GERELATEERDE DOCUMENTEN

Na het aanschakelen van de ventilatoren om 21.00 uur stijgt de temperatuur boven het gewas, op knophoogte en in het midden gestaag door, terwijl de temperatuur onderin het

Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of

Hoe zorgen we er voor dat zorgopleidingen jongeren nu op- timaal voorbereiden op deze uitdagingen en zorgberoepen van de toekomst, zodat men- sen die zorg nodig hebben daar straks

Gaat de ACK akkoord dat sets, waar de toetsers in het Zorginstituut geen problemen zien voor opname in het register, niet voor advies worden voorgelegd aan de ACK, maar dat er

De centrale vraag van dit onderzoek luidde: onder welke politiek-bestuurlijke en maatschappelijke condities hebben de Ziekenfondsraad en het College voor Zorgverzekeringen

gespecialiseerde GGZ. Wij signaleren het risico van “opwaartse druk” tussen basis GGZ en gespecialiseerde GGZ als ook binnen de verschillende producten van de basis GGZ, indien

Fatherhood literature in South Africa agrees that a look beyond the absent father phenomenon is necessary and that the focus should rather be on the potential of

In order to obtain evidence backing the interpretation of the three inferences, we analysed the targeted domain (academic study at university), and collected evidence of the