Mohammed Abaza

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6 years, 220 days

MaplePrimes Activity


These are replies submitted by Mohammed Abaza

@tomleslie 

 

Thanks for your effort

@Carl Love 

Thanks for your help and sorry for any confusion

 

Thanks for your help and sorry for any confusion

@Markiyan Hirnyk  sorry I did not understand what did you mean?

@Markiyan Hirnyk Thanks but I want an approxiamated closed form.

@ Markiyan Hirnyk 4738 thanks

Axel Vogt 3860 thanks. I want it in wireless communications

@Markiyan Hirnyk  Please for the integration  of double exponent that you tell me it does not have closed form. The question is if i try change of variables can i get closed form?

Sorry I am a beginner in maple. Could you show me how to make assumption in integration?

Sorry I am a beginner in maple. Could you show me how to make assumption in integration?

@Preben Alsholm 4070  great thanks

@Preben Alsholm 4070  great thanks

@Markiyan Hirnyk 4223 you r right I found a typo in the equation. Great thanks.

@Markiyan Hirnyk 4223 Thanks for your help. I insert the file with different way to avoid any problem



restart;Q := x->0.5*erfc(x/sqrt(2));

proc (x) options operator, arrow; .5*erfc(x/sqrt(2)) end proc

(1)


sigma := 0.1;

.1

(2)

 

SNR := [seq(1 .. 25, 1)]; for i in SNR do mu := evalf(10^(.1*i)); L := exp(-ln(sqrt(y/mu)+2*sigma^2)^2/(8*sigma^2))/(sqrt(32)*sqrt(Pi)*sigma*y); BER[i] := evalf(Int(L*Q(sqrt((1/2)*y)), y = 0 .. infinity)) end do; BERM := [seq(BER[i], i = 1 .. 25)]

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]

1.258925412

1.250000000*exp(-12.50000000*ln(.8912509381*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

.2215226477

1.584893192

1.250000000*exp(-12.50000000*ln(.7943282349*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

.1947775775

1.995262315

1.250000000*exp(-12.50000000*ln(.7079457844*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

.1675207852

2.511886432

1.250000000*exp(-12.50000000*ln(.6309573444*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

.1403665757

3.162277660

1.250000000*exp(-12.50000000*ln(.5623413252*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

.1140492726

3.981071706

1.250000000*exp(-12.50000000*ln(.5011872336*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.8937403412e-1

5.011872336

1.250000000*exp(-12.50000000*ln(.4466835922*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.6713474170e-1

6.309573445

1.250000000*exp(-12.50000000*ln(.3981071705*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.4800568271e-1

7.943282347

1.250000000*exp(-12.50000000*ln(.3548133893*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.3242747053e-1

10.

1.250000000*exp(-12.50000000*ln(.3162277660*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.2051974845e-1

12.58925412

1.250000000*exp(-12.50000000*ln(.2818382931*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1205510839e-1

15.84893192

1.250000000*exp(-12.50000000*ln(.2511886432*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.6513359938e-2

19.95262315

1.250000000*exp(-12.50000000*ln(.2238721139*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.3204999846e-2

25.11886432

1.250000000*exp(-12.50000000*ln(.1995262315*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1422087084e-2

31.62277660

1.250000000*exp(-12.50000000*ln(.1778279410*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.5633682901e-3

39.81071706

1.250000000*exp(-12.50000000*ln(.1584893192*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1973318309e-3

50.11872336

1.250000000*exp(-12.50000000*ln(.1412537545*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.6054149145e-4

63.09573445

1.250000000*exp(-12.50000000*ln(.1258925412*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1612391439e-4

79.43282347

1.250000000*exp(-12.50000000*ln(.1122018454*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.3696598200e-5

100.

1.250000000*exp(-12.50000000*ln(.1000000000*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.7239019585e-6

125.8925412

1.250000000*exp(-12.50000000*ln(0.8912509381e-1*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1202373707e-6

158.4893192

1.250000000*exp(-12.50000000*ln(0.7943282349e-1*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1683226964e-7

199.5262315

1.250000000*exp(-12.50000000*ln(0.7079457844e-1*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1975102651e-8

251.1886432

1.250000000*exp(-12.50000000*ln(0.6309573444e-1*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1933438464e-9

316.2277660

1.250000000*exp(-12.50000000*ln(0.5623413252e-1*y^(1/2)+0.2e-1)^2)*2^(1/2)/(Pi^(1/2)*y)

0.1572796993e-10

[.2215226477, .1947775775, .1675207852, .1403665757, .1140492726, 0.8937403412e-1, 0.6713474170e-1, 0.4800568271e-1, 0.3242747053e-1, 0.2051974845e-1, 0.1205510839e-1, 0.6513359938e-2, 0.3204999846e-2, 0.1422087084e-2, 0.5633682901e-3, 0.1973318309e-3, 0.6054149145e-4, 0.1612391439e-4, 0.3696598200e-5, 0.7239019585e-6, 0.1202373707e-6, 0.1683226964e-7, 0.1975102651e-8, 0.1933438464e-9, 0.1572796993e-10]

(3)

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