![]() To do this, a square wave whose frequency is the same as the center frequency of a bandpass filter is chosen.Īn analysis of heat flow in a metal rod led the French mathematician Jean Baptiste Joseph Fourier to the trigonometric series representation of a periodic function. Using a periodic signal like a square wave to test the quality factor of a bandpass or band reject filter. This article will detail a brief overview of a Fourier series, calculating the trigonometric form of the Fourier coefficients for a given waveform and simplification of the waveform when provided with more than one type of symmetry.Īny periodic signal can be represented as a sum of sinusoids where the sinusoids' frequencies are composed of the frequency of the periodic signal and integer multiples of that frequency. ![]() Problems involving fluid flow, mechanical vibration, and heat flow all use different periodic functions. ![]() Moreover, non-sinusoidal periodic functions are important in analyzing non-electrical systems. As you might be aware, electronic oscillators are extremely useful in laboratory testing equipment and are specifically designed to create non-sinusoidal periodic waveforms. ![]()
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