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7/27/2019 Mat Print Screen

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PART B

1. Evaluate the quadratic equation ax2+ bx + c, assuming values forx.

2 Calculate the following quantities (in degrees) sin/6, cos , tan /2and sin2/6+cos

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3. Write a program to plot the curve for a function described by the equation y= x3

+ 2x2-5,wherex

varies from -10 to +10.

4 Write a program to plot the curve for equation y= sinx + cosxasxvaries from 0 to 2 ; make use of

labels alongx &yaxis.

5. Generate two sinusoids and compute their product. Plot them in time and frequency domain (Fourier

spectrum).

6. Compute the Addition, Subtraction, Division and Multiplication of two matrices.

7 Compute the inverse of a matrix.

8. Use matrix method to solve for currents based on KCL in an electrical circuit having minimum of three

loops.

9. Current flowing through the semiconductor diode is given by

id= i0[ exp( qvd/kT)-1 , where k= Boltzmanns constant (1.38 x 10-23

joules/K)

q= 1.6x10-19

coulombs, T= Absolute Temperature

a) Write a program to calculate the current flowing through the diode for all voltages from -0.2v to+0.25 volts in a step of .01v

b) Plot the current as a function of applied voltage.

10. A series resonant circuit driven by a sinusoidal AC voltage source of 230v, 50 Hz. The current through

the resonant circuit is given by i= v/ R+j(XL XC)(Assume R, L C values).

a) Write a program to calculate and plot magnitude of current verses frequency range between 100

kHz to 10MHz

b) The phase angle as a function of frequency for the range of 100 kHz to 10MHz.

c) The magnitude and phase angle of current as a function of frequency on two subplots of single

figure.

11.Create a function handle for a nested function to plot the parabola.

12. Write a program to verify the logic equation F= + + +. Also, generate truth

table for this function.

13. Generate the following signals (assumef)and plot their frequency spectrum using DFT commands.

a) Square function b) Ramp function c) Sine function.

14. Verify Sampling theorem.

15. Find the impulse response of a simple LTI system.

16. For a given binary data, generate NZ and NRZ patterns.

17. Generate a) ASK, b) FSK and c) QPSK waveforms.

18. Perform the following image process tasks

a) Read and write images in JPEG/BMP/TIFF formats

b) Convert RGB to Grey scale image.

c) Display images using appropriate commands

d) Contrast enhancement of gray scale image

e) Histogram of gray scale image

f) Resize a given image

19. For age-height relation of a group of people, compute mean, standard deviation and variance.

20. Plot the frequency response of LPF, HPF, BS and BP filters.


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1

c =

2 3 4

x =

1 2 3

z =

9 18 31

9 18 31


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2

Enter the angle 30

theta =

30

x =

0.0872

y =

0.8660

z =

0.2679

w =

0.0881


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3

x =

Columns 1 through 13

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

2


3 4 5 6 7 8 9 10

y =

Columns 1 through 6

-800 -567 -384 -245 -144 -75


-32 -9 0 1 0 3


16 45 96 175 288 441


640 891 1200


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4

pi = 3.1420

x = 0 1 2 3 4 5 6

y = 1.0000 1.3818 0.4932 -0.8489 -1.4104 -0.6753 0.6808


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5


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6

a = 1 2 3 4 5 6

b = 1 2 3 1 2 3

c = 2 4 6 5 7 9


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7

a =

1 2 3

4 4 5

1 2 5

b =

1 5 2

6 2 7

4 3 8

(a+b) add =

2 7 5

10 6 12

5 5 13

(a-b) sub =

0 -3 1

-2 2 -2

-3 -1 -3

(a/b) div =

1.0000 0.4000 1.5000

0.6667 2.0000 0.71430.2500 0.6667 0.6250

(a*b) mul =

25 18 40

48 43 7633 24 56


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8

i1=0.3529

i2=0.3681

i3=0.4829


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9


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10


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11


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12

a=1

b=0

b = 0

c=1

f = 1


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13a


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13b


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13c


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14


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18a

Result of image process tasks are given in images folder

a) Read images in JPEG/BMP/TIFF formats

b) Convert RGB to Grey scale image.

c) Display images using appropriate commands

d) Contrast enhancement of gray scale image

e) Histogram of gray scale image


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18b

Result of image process tasks are given in images folder

Resize Image 1

Resize Image 2


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20a. LPF


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20b. HPF

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