Frequency Analysis

Frequency Analysis Basics

Differences between Frequency Domain and Time Domain

Parseval's Theorem

Fourier Transform and Discrete Fourier Transform

Fourier Transform

Discrete Fourier Transform (DFT)

Relationship between N Samples in the Frequency and Time Domains

Example of Calculating Discrete Fourier Transform

Magnitude and Phase Information

Frequency Spacing between DFT Samples

Computing Frequency Components

Fast FFT Sizes

Zero Padding

Real FFT and Complex FFT

Displaying Frequency Information from Transforms

Mathematical Representation of a Two-Sided and DC-Centered FFT

Creating DC-Centered Spectra

Converting a Two-Sided Power Spectrum to a Single-Sided Power Spectrum

Loss of Phase Information

Estimating Power and Frequency

Computing Noise Level and Power Spectral Density

Computing the Amplitude and Phase Spectrums

Calculating Amplitude in Vrms and Phase in Degrees

Frequency Response Function

Cross Power Spectrum

Frequency Response and Network Analysis

Frequency Response of a Network

Impulse Response Function of a Network

Coherence Function

Windowing and FFT

Common Measurement Averaging Modes

RMS Averaging

Vector Averaging

Peak Hold

Weighting

Hilbert Transform on an Analytic Signal

Hilbert Transform on an Oscillating Signal

Echo Detection and Hilbert Transform