Fourier synthesis basically allows: a periodic waveform to be represented by Gau

Question

Fourier synthesis basically allows: a periodic waveform to be represented by Gaussian functions. a periodic waveform to be represented by sinusoids. analogue signals to be converted to digital. a periodic waveform to be represented using rectangular pulses. the time axis to be changed to frequency. o any real signal to be inverted o an odd waveform to be converted to an a series of even functions. a periodic waveform to be constructed from harmonically related sinusoids. a periodic waveform to be represented using decaying exponentials.

Explanation / Answer

Fourier synthesis basically allows a periodic waveforrm to be constructed from harmonically related sinusoids.

Explaination:

The mathematician Fourier came to the conclusion that any periodic waveform can be represented as a sum of sinusoidal and cosinusoidal oscillations. This sum of sine and cosine waveforms is known as Fourier series and the process of representing the waveform as a sum of sine and cosine waveforms is known as Fourier Analysis. A peroidic waveform is made up of fundamental frequencies and its harmonics. Harmonics are the integral multiples of the fundamental frequency of the original waveform. The shape of the waveform is determined by the energy at fundamental frequency and its harmonics. The reverse procedure of constructing a waveform from its harmonics is known as Fourier Synthesis.

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