## NPTEL Digital Image Processing Week 5 Assignment Answers 2024

1. Given two signals x[n]. y[n] where n € (0,1,2,… N – 1} and their DFT coefficients X[k], Y[k] where k € (0,1,2,…N – 1). Taking inverse DFT of Z[k] = X[k] × Y[k] is equivalent to

a) Linear convolution of x[n]andy[n]

b) Circular/Cyclic convolution of x[n] and y[n]

c) Correlation of x[n] and y[n]

d) None of these

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2. Determine the circular/eyelie convolution of two sequences x(n) = {1, 2, 3} and h(n) = {4, 5, 6}

a) у(n) = (9,12,10,4,1}

b) у(n) = {1,4,10,12,9}

c) у(n) = (31,31,28}

d) у(n) = {3,8,8}

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3.

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4.

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5. How does image transformation represent a given image?

a. A series summation of a set of Symmetric Matrices.

b. A series summation of a set of Unitary Matrices

c. A series summation of a set of Skew-Symmetric Matrices.

d. None of the above.

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6.

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7.

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8.

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9.

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10.

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