Abstract
The main subject of Chap. 1 was that the convolution of the system input signal and the system impulse response is the system output signal. It was shown that the Fourier transform of the convolution is given by the product of the Fourier transforms of the input signal and the impulse response. The main topic of this chapter is to obtain the system transfer function, which is the Fourier transform of the system impulse response, from the input and output signals utilizing these properties.
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Notes
- 1.
The multiplication of X(f) by [1 + exp( − j2πfτ)] causes periodic zeros in the input. But this has nothing to do with causality.
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Kido, K. (2015). Cross-Spectrum Method. In: Digital Fourier Analysis: Advanced Techniques. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1127-1_3
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DOI: https://doi.org/10.1007/978-1-4939-1127-1_3
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