What property of sine and cosine functions makes them the ideal basis for Fourier series in signal processing?
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Orthogonality
Two functions are orthogonal if their integral over a specific range is zero. Sine and cosine functions of different frequencies are orthogonal over an interval of 2π, allowing complex signals to be decomposed into individual frequencies.
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- What mathematical property describes the integral of products of distinct integer-frequency sine and cosine harmonics being zero over a 2π interval?