Howtosignalprocessing
- What is sampled signal spectrum?
- How do you find the frequency spectrum of a signal?
- How do you reconstruct a signal from its samples?
What is sampled signal 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, fs. Since the sampled spectrum is periodic, it goes on forever and only a portion of it can be shown.
How do you find the frequency 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 + …)
How do you reconstruct a signal from its samples?
The reconstruction process consists of replacing each sample by a sinc function, centered at the time of the sample and scaled by the sample value x(nT) times 2fc/ fs and adding all the functions so created. Suppose the signal is sampled at exactly Nyquist rate fs= 2fm, Then fm= fs/2 = fs- fm and Fm= 1/2 = 1- Fm.
