The equation x(t)=\(\sum_{k=-\infty}^{\infty}c_k e^{j2πkF_0 t}\) is known as analysis equation.(a) True(b) FalseI have been asked this question during an internship interview.The origin of the question is Frequency Analysis of Continuous Time Signal in division Frequency Analysis of Signals and Systems of Digital Signal Processing

The equation x(t)=\(\sum_{k=-\infty}^{\infty}c_k e^{j2πkF_0 t}\) is k

1.	The equation x(t)=\(\sum_{k=-\infty}^{\infty}c_k e^{j2πkF_0 t}\) is known as analysis equation.(a) True(b) FalseI have been asked this question during an internship interview.The origin of the question is Frequency Analysis of Continuous Time Signal in division Frequency Analysis of Signals and Systems of Digital Signal Processing
Answer» Correct option is (b) False Explanation: SINCE we are synthesizing the FOURIER series of the SIGNAL x(t), we call it as synthesis equation, where as the equation giving the definition of Fourier series coefficients is KNOWN as analysis equation.

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