Spectrum

Magnitude spectrum for discrete-time signals

Magnitude spectrum for discrete-time signals
  1. What is magnitude spectrum of a signal?
  2. How do you find the magnitude of a spectrum?
  3. What is the possible range of frequency spectrum for DTFS?
  4. How do you calculate the spectrum of a signal?

What is magnitude spectrum of a signal?

The Magnitude Spectrum of a signal describes a signal using frequency and amplitude. That is frequency components of a periodic signal are plotted using Frequency Domain - frequencies plotted in X-axis and amplitude plotted in Y-axis.

How do you find the magnitude of a spectrum?

The rectangular window is the signal y(t) = u(t + 1) − u(t − 1). Use MATLAB to compute the magnitude spectrum of x(t) and y(t) and indicate which is the smoother of the two by considering the presence of high frequencies as an indication of roughness.

What is the possible range of frequency spectrum for DTFS?

The spectrum of the DTFT is continuous, so either f or ω can be used. The common choice is ω, because it makes the equations shorter by eliminating the always present factor of 2π. Remember, when ω is used, the frequency spectrum extends from 0 to π, which corresponds to DC to one-half of the sampling rate.

How do you calculate the spectrum of a signal?

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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