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Today's lecture

Today's lecture . Spectrum Representation Synthetic Vowel as a Periodic Signal Fourier Series Synthesis Properties of exp(j) Fourier coefficients. Spectrum Representation. Fourier Series (3-4) Any periodic signal can be synthesized with a sum of harmonically related sinusoids

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Today's lecture

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

  2. 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

  3. Fourier Series Synthesis

  4. Synthesis Example: Harmonic Signal (3 Frequencies)

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

  6. Synthesis Vs. Analysis

  7. Integral Property of exp (j)

  8. Orthogonality of exp (j)

  9. Isolate one FS Coefficient

  10. 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)

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