Which domain representations of signals is being carried by fourier series?Group of answer choicesFrequencyTimeBothNone

Break Down the Problem

1. Identify the Question: We need to determine what domain representations are associated with Fourier series.
2. List the Options: The choices are Frequency, Time, Both, None.

Relevant Concepts

1. Fourier Series Definition: Fourier series is a way to represent a function (often a periodic signal) as a sum of sine and cosine functions.
2. Domain Representation:
   • Time Domain: The representation of a signal with respect to time.
   • Frequency Domain: The representation of a signal with respect to frequency.

Analysis and Detail

1. Fourier Series Analysis: Fourier series transforms a time-domain signal into its frequency components. It analyzes the frequencies present in the original time-domain signal.
2. Frequency Components: The sine and cosine functions in Fourier series correspond to specific frequencies, indicating how much of each frequency is present in the signal.

Verify and Summarize

• Since Fourier series relates to how a time-domain signal can be expressed in terms of its frequency content, it fundamentally connects both domains.

Final Answer

Both. Fourier series represents signals in both the time domain and the frequency domain.