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As one of the application of Fourier signal, we can represent signal by :Taylor series represents any function using polynomials.Polynomials are not the best - unstable and not very physically meaningful.Easier to talk about “signals” in terms of its “frequencies”Are these statements TRUE or FALSE?Group of answer choicesTrueFalse

Question

As one of the application of Fourier signal, we can represent signal by :Taylor series represents any function using polynomials.Polynomials are not the best - unstable and not very physically meaningful.Easier to talk about “signals” in terms of its “frequencies”Are these statements TRUE or FALSE?Group of answer choicesTrueFalse

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Solution

The statements are generally TRUE.

  1. Taylor series can indeed represent any function using polynomials.

  2. Polynomials can sometimes be unstable and not very physically meaningful, depending on the context.

  3. It is often easier to talk about signals in terms of its frequencies, especially in the field of signal processing. This is where Fourier series and transforms come into play, as they allow us to analyze the frequency components of a signal.

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