Today s lecture
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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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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

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


Fourier series synthesis

Fourier Series Synthesis


Synthesis example harmonic signal 3 frequencies

Synthesis Example: Harmonic Signal (3 Frequencies)


Strategy x t a k

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


Synthesis vs analysis

Synthesis Vs. Analysis


Integral property of exp j

Integral Property of exp (j)


Orthogonality of exp j

Orthogonality of exp (j)


Isolate one fs coefficient

Isolate one FS Coefficient


Today s lecture

  • 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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