Fourier Transform
24 videos • 763 views • by Nani's MathsClass
In this course, we shall be studying the Fourier transformation. Course Instructor: Meenal Singhal
1
Lecture 1: Review of Fourier Series-1
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2
Lecture 2: Review of Fourier Series-2 (Half range sine/cosine series)
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3
Lecture 3: Parseval’s Theorem
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4
Lecture 4: Problem based on Parseval’s Theorem
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5
Lecture 5: What is a Fourier integral?
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6
Lecture 6: Problem based on Fourier integral
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7
Lecture 7: Fourier cosine and sine integrals
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8
Lecture 8: Example of Fourier cosine and sine integrals
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9
Lecture 9: What is Fourier transform?
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10
Lecture 10: Examples of Fourier transform
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11
Lecture 11: Properties of Fourier transform
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12
Lecture 12: Linearity property
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13
Lecture 13: Shifting property
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14
Lecture 14: Scaling property
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15
Lecture 15: Modulation theorem
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16
Lecture 16: Convolution theorem
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17
Lecture 17: Differentiation property (time domain)
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18
Lecture 18: Differentiation property (frequency domain)
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19
Lecture 19: Fourier transform of unit step function
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20
Lecture 20: Fourier transform of Dirac-delta function
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21
Lecture 21: Complex form of Fourier transform
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22
Lecture 22: Fourier sine and cosine transform
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23
Lecture 23: Finite Fourier sine and cosine transform and their inversion formulae
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24
Lecture 24: Analytical solution of heat equation using Fourier transform
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