Wave Walker DSP

DSP Algorithms for RF Systems

DSP: Fundamentals

Figure 2: The periodicity of a complex sinusoid can be seen easier in three dimensions.

Why Does the DFT Need Windowing Functions?

September 1, 2023

Figure 4: A windowing function trades smearing and widening the peak with reducing sidelobes.

Windowing Functions for Better Spectral Analysis

August 1, 2023

Figure 3: The Bartlett Window frequency response with length N=31.

Bartlett (Triangular) Window Analysis With Python Code

July 1, 2023

Figure 4: The discrete Fourier transform (DFT) of a complex sinusoid with frequency 0.57pi (zoom view).

Discrete Fourier Transform (DFT) of Complex Sinusoid

May 1, 2023

Figure 2: Complex frequency shifting can result in aliasing if the frequency response overlaps the half sampling rate.

Complex Frequency Shifting in Discrete Time

January 1, 2023

Figure 1: Complex frequency shifting in the frequency domain.

Complex Frequency Shifting in Continuous Time

December 1, 2022

Figure 1: The frequency response of the ideal low pass filter (LPF) for omega c = 1/8.

Deriving the Ideal Low Pass Filter (LPF)

October 1, 2022

Figure 2: Upsampling by 5 is accomplished by zero-padding every sample with 4 zeros.

Introduction to Interpolation and Upsampling

September 1, 2022

Figure 1: The cutoff frequency approximation for a moving average filter of length 5.

Bandwidth of a Moving Average Filter

August 3, 2022

Figure 3: A semilog plot on y for x and 10^x.

Explaining Logarithms, Exponents and Base Numbers With Plots

July 27, 2022

God, the Lord, is my strength; he makes my feet like the deer’s; he makes me tread on my high places. Habakkuk 3:19

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