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A Visual Guide to the Definition and Meaning of Sine
Sine is a trigonometric function fundamental to geometry and calculus. Defined for an angle in a right-angled triangle, it represents the ratio of the length of the side opposite the angle to the hypotenuse. In the unit circle, the sine of an angle equals the y-coordinate of the corresponding point on the circle. As a periodic function, sine ...
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Find the exponential Fourier series for this periodic square wave signal with a duty cycle of 50%. The Fourier series allows us to represent any periodic signal as a sum of sinusoids (or complex exponentials), each with its own amplitude and phase. This concept is at the core of signal analysis, communications, and control systems, helping us understand how complex waveforms are built from simpler components. Let’s walk through this example step by step to see how the math translates into the si
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Find the exponential Fourier series for this periodic square wave signal with a duty cycle of 50%. The Fourier series allows us to represent any periodic signal as a sum of sinusoids (or complex exponentials), each with its own amplitude and phase. This concept is at the core of signal analysis, communications, and control systems, helping us understand how complex waveforms are built from simpler components. Let’s walk through this example step by step to see how the math translates into the si
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