Background Learning Topic Summary       Close
Signal Theory

Estimated Time to Complete:

6 hours 15 minutes

(average of 75 minutes per Subtopic)

Introduces the key principles of signal theory and the application of sampling precision, frequency and signal reconstruction. Explores the characteristics of waveforms, line, phase and amplitude spectra, the minimum phase spectrum, sinusoid addition, generation of harmonics, the Fourier series and the Fourier integral. Outlines the characteristics of linear and nonlinear systems. Provides an overview of general operator responses, explores the concepts of superposition, convolution, integration, and differentiation and the mechanics of filter theory. Addresses the importance of the signal-to-noise ratio and how it can be improved, provides an explanation of the processes of filtering, stacking and deconvolution and the ideal situations when each process should be employed. Defines the correlation, cross-correlation and auto-correlation functions, the impulse response of a system, and the application of pulse compression to increase resolution and the signal-to-noise ratio.

Expand All
Total Number of Subtopics: 5
  • expand/collapse Signal Theory Introduction
    • Signal Theory Introduction
    • Digital Representation of Waveforms
    • Sampling Precision
    • Sampling Frequency
    • Signal Reconstruction
  • expand/collapse Waveform Theory
    • Single Sinusoid Waveform
    • Adding Sinusoids
    • Adding Harmonics and the Fourier Series
    • Line Spectra
    • Fourier Integral
    • Amplitude Spectrum
    • Phase Spectrum
    • Phase Spectra
    • Minimum Phase Spectrum
    • Summary of Waveform Characteristics
  • expand/collapse Operators
    • Introduction
    • Linearity
    • Frequency Response of Linear Operators
    • Time Response of Linear Operators
    • Superposition and Convolution
    • The Complete Fourier Series
    • Differentiation of Waveform
    • Integration of Waveforms
    • Differentiation and Integration Relations
    • Filters
  • expand/collapse Signal Improvement
    • Introduction
    • Signal-to-Noise Ratio
    • Filtering and Stacking
    • Deconvolution
    • Signal Improvement Summary
  • expand/collapse Correlation Techniques
    • Introduction
    • Cross-correlation Function
    • Auto-correlation Function
    • Pulse Compression Technique
    • System Impulse Response
    • Auto-correlation Application
(Use the '+' and '-' buttons to expand or collapse each Subtopic Title individually for details.)