Figure P.11.44 depicts a single saw tooth function and its autocorrelation. Explain why cÆÆ (X) is symmetrical

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Figure P.11.44 depicts a single €œsaw tooth€ function and its autocorrelation. Explain why cÆ’Æ’ (X) is symmetrical about the origin. Why does it extend from -1 to +1? Draw sketches where appropriate.

Figure P.11.44

1.0 f(x) 0.5F х 1.0 -1.0 –0.5 0.5 0.4 Cff(X) = f(x) * f(x) 0.2 -1.0 –0.5 0.5 1.0

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Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

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Question Posted: Jan 16, 2019 09:43 AM

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Figure P.11.44 depicts a single saw tooth function and its autocorrelation. Explain why cÆÆ (X) is symmetrical

Question:

1.0 f(x) 0.5F х 1.0 -1.0 –0.5 0.5 0.4 Cff(X) = f(x) * f(x) 0.2 -1.0 –0.5 0.5 1.0

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Symmetry is a fundamental property of autocorrelation The maxim...View the full answer

Optics

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