Introduction to Digital Signal and System Analysis - Tutorsindia

Introduction to Digital Signal and System Analysis
Spectral Analysis by DFT
7 Spectral Analysis by DFT
7.4 Digital spectral analysis
Spectral analysis for digital signals is referred to a decomposition of a digital signal into its continent components in the
frequency domain. It is a useful technique in many branches of engineering, natural and social sciences, and information
technology. The DFT defined in Eq. 6.1 is used to obtain Fourier spectrum for a signal, and the FFT algorithm is widely
accepted as the choice in implementing the algorithm because of its fast speed.
The basic assumption behind the digital spectral analysis is that a frequency-domain display is easier to reveal important
information which is not apparent in the time domain. Unlike digital filtering, it is primarily investigative, not concerned
with changing the original signal. The information obtained through the digital spectral analysis often leads to important
insights of associated physical process.
7.5 Spectra of harmonics
Assume the sampling rate is 1024Hz. The maximum frequency at this sampling rate is 512Hz and the minimum frequency
in the DFT frequency domain is also 1Hz. Any integer frequency components ranging from 1 to 512 Hz are called
harmonics. A signal
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