# Wave Walker DSP

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

The DSP Family Tree: Grow Your Career
November 17, 2021

#### Introduction

I recall being an undergraduate and wondering to myself “why are all of these things I am learning useful?” and “how are they going to be applied?” It is hard to have perspective when you’re in the trenches of your undergraduate or graduate degree to know the importance of the material you are learning. I have produced a DSP Family Tree which is my opinion on how all of the different sub-fields of DSP interact and build on one another.

My hope is that the DSP Family Tree is useful in motivating yourself that the concepts you are studying or have studied are important and can be built into larger things. You might also think of this as a road map: you can start with a destination and figure out what you need to learn along your journey.

Check out these other blog posts:

#### The DSP Family Tree

You’ll notice the earlier topics are those taught in an undergraduate education such complex math, time invariant filters and linear algebra. Moving further down the tree can take years to fully master. Topics at the bottom (cyclostationarity, demodulation) are often studied in graduate school or under the mentorship of a seasoned engineer while in full time employement.

The DSP Family Tree is how I plan to develop future blog posts. From the image you’ll notice the initial path starts with complex numbers, which leads to complex sinusoids and then sampling and aliasing. (You’ll also notice that the following blog post should be on the DFT … stay tuned!)

#### Conclusion

The DSP Family Tree is the model for how I think about the relationships between different elements in DSP. In reality the world of DSP is more like a spiderweb with endless interconnections however I hope the simplified tree is useful in helping you build a roadmap for your studies, your career or even DSP and RF as a hobby.

Did I miss a connection? Is there an important sub-field of DSP that I missed? Please leave a comment below and let me know!

Check out these other blog posts:

For everything there is a season, and a time for every matter under heaven. A time to cast away stones, and a time to gather stones together. A time to embrace, and a time to refrain from embracing. Ecclesiastes 3:1,5
The earth was without form and void, and darkness was over the face of the deep. And the Spirit of God was hovering over the face of the waters. Genesis 1:2
Behold, I am toward God as you are; I too was pinched off from a piece of clay. Job 33:6
Enter His gates with thanksgiving, and His courts with praise! Give thanks to Him; bless His name! Psalm 100:4
Lift up your hands to the holy place and bless the Lord! Psalm 134:2
Blessed is the man who trusts in the Lord, whose trust is the Lord. He is like a tree planted by water, that sends out its roots by the stream, and does not fear when heat comes, for its leaves remain green, and is not anxious in the year of drought, for it does not cease to bear fruit. Jeremiah 17:7-8
He said to him, “You shall love the Lord your God with all your heart and with all your soul and with all your mind. This is the great and first commandment. And a second is like it: You shall love your neighbor as yourself. On these two commandments depend all the Law and the Prophets.” Matthew 22:37-39
Then He said to me, “Prophesy over these bones, and say to them, O dry bones, hear the word of the Lord. Thus says the Lord God to these bones: Behold, I will cause breath to enter you, and you shall live." Ezekiel 37:4-5
Riches do not profit in the day of wrath, but righteousness delivers from death. Proverbs 11:4
The angel of the Lord appeared to him in a flame of fire out of the midst of a bush. He looked, and behold, the bush was burning, yet it was not consumed. And Moses said, “I will turn aside to see this great sight, why the bush is not burned.” When the Lord saw that he turned aside to see, God called to him out of the bush, “Moses, Moses!” And he said, “Here I am.” Exodus 3:2-3
Daniel answered and said: “Blessed be the name of God forever and ever, to whom belong wisdom and might. He changes times and seasons; He removes kings and sets up kings; He gives wisdom to the wise and knowledge to those who have understanding." Daniel 2:20-21
Now the Lord is the Spirit, and where the Spirit of the Lord is, there is freedom. 2 Corinthians 3:17

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