Spectrum of sampled signal formula

1. How do you calculate the spectrum of a signal?
2. What is the equation for the sampled signal?
3. What is sampled spectrum?

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 + …)

What is the equation for the sampled signal?

The process of sampling a time-varying signal. A continuous time-varying 1-D signal is sampled by narrow sampling pulses at a regular rate f_r = 1/T, which must be at least twice the bandwidth of the signal.

What is sampled spectrum?

The sampled signal has a spectrum that is periodic at the sampling frequency (20 Hz) and has an even symmetry about 0.0 Hz, as well as symmetry about the sampling frequency, f_s. Since the sampled spectrum is periodic, it goes on forever and only a portion of it can be shown.