Wave Walker DSP

DSP Algorithms for RF Systems

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Building a PSK and QAM Modulator in Python posted on June 8, 2022
Introduction to Interpolation and Upsampling posted on September 1, 2022
Cross Correlation Explained With Real Signals posted on December 1, 2021
Install and Run LaTeX on macOS posted on January 5, 2022
DFT Frequency Resolution Explained posted on March 16, 2022
How to Create Additive White Gaussian Noise (AWGN) posted on June 1, 2022
Square Root Raised Cosine Filter in Python posted on November 10, 2021
Designing FIR Filter Gain posted on February 23, 2022
Deriving the Ideal Low Pass Filter (LPF) posted on October 1, 2022
FIR Low Pass Filter Design with Remez posted on September 22, 2021
Fourier Transform Explanation as a Cross-Correlation posted on December 22, 2021
Derivative Filter Impulse Response Derivation posted on November 24, 2021
Single Pole IIR Filter: Substitute for Moving Average Filter posted on August 10, 2022
Fourier Transform Pairs of Conjugation and Time Reversal posted on November 17, 2021
Using Euler’s Formula to Derive Sine and Cosine posted on November 24, 2021
Half Band Filter Design: Exceptional Filtering Efficiency! posted on September 27, 2021
Comb Filter Introduction and Analysis posted on March 1, 2023
Writing an eBook for Amazon Kindle with LaTeX on Linux posted on April 27, 2022
Bandwidth of a Moving Average Filter posted on August 3, 2022
Single Pole IIR Filter Frequency Response posted on July 6, 2022

The Blog

Figure 3: Increasing the delay M increases the number of teeth in the comb filter and reduces their width. Note that the magnitude has been normalized to 0 dB gain at omega=0.

Comb Filter Introduction and Analysis

March 1, 2023

Figure 1: Magnitude of the frequency response for the band pass single pole IIR filter.

Band Pass Single Pole IIR Filter Design

February 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

Wave Walker DSP at GRCon 2022

Wave Walker DSP at GRCon 2022!

October 19, 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

August 2021

One Year Anniversary!

August 24, 2022

Figure 3: Comparing a moving average filter N=8 with the single pole IIR filter approximation.

Single Pole IIR Filter: Substitute for Moving Average Filter

August 10, 2022

Brand New Book!

DSP for Beginners: Simple Explanations for Complex Numbers! The second edition includes a new chapter on complex sinusoids.

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Foundations of Digital Signal Processing: Complex Numbers is still available in eBook form, 4.4 star rating with 50+ copies sold!

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