Spectrum

Spectrum analysis of a function

Spectrum analysis of a function
  1. What is the spectrum of a function?
  2. How do you Analyse the spectrum?
  3. What is meant by spectral analysis?
  4. How do you find the frequency spectrum of a function?

What is the spectrum of a function?

(Or spectrum.) The Fourier representation of a given function, that is, the Fourier transform if the given function is aperiodic, or the set of coefficients of the Fourier series if the given function is periodic.

How do you Analyse the spectrum?

Frequency-domain measurements (spectrum analysis) are made with either a fast-Fourier transform (FFT) analyzer or a swept-tuned receiver. The FFT analyzer takes a time-domain signal, digitizes it using digital sampling, and then applies the mathematics required to convert it to the frequency domain.

What is meant by spectral analysis?

Spectral analysis is the process of estimating the power spectrum (PS) of a signal from its time-domain representation. Spectral density characterizes the frequency content of a signal or a stochastic process.

How do you find the frequency spectrum of a function?

Frequency spectrum of a signal is the range of frequencies contained by a signal. For example, a square wave is shown in Fig. 3.5A. It can be represented by a series of sine waves, S(t) = 4A/π sin(2πft) + 4A/3π sin(2π(3f)t) + 4A/5π sin(2π(5f)t + …)

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