Digital Signal Processing Explained: Audio Filters, Noise Removal & DSP Applications

Dive into the world of digital signal processing (DSP) and discover how audio is transformed with modern technology. This video explains the fundamentals of DSP, from discrete signals, linear systems, convolution, and complex numbers, to advanced techniques like FIR/IIR filters, adaptive filtering, and digital reverberation. Learn how DSP improves audio quality through noise removal, speaker correction, and effects, and explore the hardware and programming behind processors like Texas Instruments, Motorola, and SHARC. Perfect for audio engineers, students, and anyone curious about how digital audio works.

Some questions answered in this video:
What do impulse responses have to do with the way you hear reverb?
Can a speaker really correct itself for your room automatically?
Why do some digital filters make audio sound sharper than analog ones?
How does a digital mixing console manage billions of operations per second?
Can a DSP chip make cheap speakers sound like studio monitors?
What’s the secret behind flawless audio in movies, podcasts, and streaming apps?
How does digital audio turn raw numbers into the music you love?
Why do some audio effects only exist digitally and not in real life?
Can your computer “hear” the difference between clicks and musical notes?
How do engineers remove tape hiss without touching the music itself?

Understand DSP in a clear, concise, and approachable way—turn your knowledge of audio from basic concepts to practical applications.

0:00 Digital Signal Processing
0:58 Fundamentals of Digital Signal Processing
3:30 DSP Applications
4:56 Discrete Systems
5:52 Linearity & Time-Invariance
6:53 Impulse Response & Convolution
10:18 Complex Numbers
11:36 Mathematical Transforms
14:55 Unit Circle & Region of Convergence
15:47 Poles & Zeros
17:29 DSP Elements
18:26 Digital Filters
20:29 FIR Filters
24:03 IIR Filters
26:08 Filter Applications
28:27 Sources of Errors & Digital Dither
31:23 DSP Integrated Circuits
32:23 Processor Architecture
33:20 Fixed-Point & Floating-Point DSP
36:46 DSP Programming
39:16 Filter Programming
39:29 Texas Instruments Code
40:19 Motorola Code
40:43 Analog Devices SHARC Code
41:59 Specialized DSP Applications
42:32 Digital Delay Effects
42:45 Digital Reverberation
43:15 Digital Mixing Consoles
45:29 Loudspeaker Correction
46:57 Noise Removal