1. Today's lecture Spectrum Representation
Synthetic Vowel as a Periodic Signal
Fourier Series Synthesis
Properties of exp(j)
Fourier coefficients

3. Spectrum Representation
Fourier Series (3-4)
Any periodic signal can be synthesized with a sum of harmonically related sinusoids
Fourier series/ Fourier Synthesis Equation
Fourier series integral (to perform Fourier analysis) is known as Fourier Analysis Equation
Fourier series coefficients

4. Fourier Series Synthesis

5. Synthesis Example: Harmonic Signal (3 Frequencies)

6. Strategy: x(t)---->ak

7. Synthesis Vs. Analysis

8. Integral Property of exp (j)

9. Orthogonality of exp (j)

10. Isolate one FS Coefficient

11. Beautiful Belief:
Jab meri DUA qabool ho tu khushi hoti hay kay is main meri marzi hay…..aur jab na ho tu khushi or bhi barh jati hay kay is main allah ki marzi hay(HAZRAT ALI R.A)