Tuesday, 26 August 2025

Numerix-DSP Digital Signal Processing And Machine Learning Videos

Here is a selection of DSP and ML related videos presented by John Edwards

DSP Online Conference

2022 - Building A Tensorflow Lite Neural Network Vibration Classifier, With A Little Help From DSP

2021 - An Introduction To High Efficiency And Multi-rate Digital Filters

2020 - Frequency Domain Signal Processing


TinyML Foundation / Edge AI Foundation

2020 - “Low MIPS & Memory Machine Learning Industrial Vibration Monitoring Solution - AKA Not All AI Applications Are Cat v Dogs on Facebook ;-)


SigLib

SigLib DSP Library Introduction

SigLib Vibration Monitoring Machine Learning Demonstration


Data Science Festival 2020 - Lunch & Learn - "The Frequency Domain And How It Can Be Used To Aid Artificial Intelligence"


The 34th Annual Running Of The University Of Oxford Digital Signal Processing Course Will Be Held Online Again, In 2025

The course first moved online in 2020 and has received excellent reviews from the attendees

The course will run from Wednesday 22 Oct 2025 to Wednesday 26 Nov 2025, with live online classes one afternoon per week.

Based on the classroom course, Digital Signal Processing (Theory and Application), this online course consists of weekly live online tutorials and also includes a software lab that can be run remotely. We'll include all the same material, many of the existing labs and all the interaction of the regular course.

Online tutorials are delivered via Microsoft Teams once each week and practical exercises are set to allow you to practice the theory during the week. 

You will also have access to the course VLE (virtual learning environment) to communicate with other students, view and download course materials and tutor support is available throughout.

Code examples will be provided although no specific coding experience is required. 

The live tutorials will be on Wednesday each week from 13:00 - 14:30 and 15:00 - 16:30 (GMT) with a 30-minute break in between.

You should allow for 10 - 15 hours study time per week in addition to the weekly lessons and tutorials.

After completing the course, you should be able to understand the workings of the algorithms we explore in the course and how they can solve specific signal processing problems.

Full details are available here: https://www.conted.ox.ac.uk/courses/digital-signal-processing-online.

Copyright © 2025 Delta Numerix

Wednesday, 22 January 2025

The 34th Annual Running Of The University Of Oxford Live Digital Signal Processing Course, In May 2025

The 34th annual running of the University Of Oxford Live Digital Signal Processing course will be running in Oxford, UK, from Tuesday 20th to Friday 23rd May 2025.

The courses are presented by experts from industry for Engineers in industry and over the last 30 years has trained many hundreds of Engineers, from all areas of Science and Engineering.

Here is a summary of the two courses.

Digital Signal Processing (Theory and Application) - Tuesday 20th to Thursday 22nd May 2025.

https://www.conted.ox.ac.uk/courses/digital-signal-processing-theory-and-application

This course provides a good understanding of DSP principles and their implementation and equips the delegate to put the ideas into practice and/or to tackle more advanced aspects of DSP. 'Hands-on' laboratory sessions are interspersed with the lectures to illustrate the taught material and allow you to pursue your own areas of interest in DSP. The hands-on sessions use specially written software running on PCs.

Subjects include:

  • Theoretical Foundations
  • Digital Filtering
  • Fourier Transforms And Frequency Domain Processing
  • DSP Hardware And Programming
  • ASIC Implementation
  • Typical DSP Applications

Digital Signal Processing Implementation (algorithms to optimization) - Friday 23rd May 2025.

A one-day supplement to the Digital Signal Processing course that takes the theory and translates it into practice.

https://www.conted.ox.ac.uk/courses/digital-signal-processing-implementation-algorithms-to-optimisation

The course will include a mixed lecture and demonstration format and has been written to be independent of target processor architecture.

The course will show how to take common DSP algorithms and map them onto common processor architectures. It will also give a guide line for how to choose a DSP device, in particular how to choose and use the correct data word length for any application.

Attendee Feedback From Previous Courses:

John is like a textbook in human form ;-)  

It was informative, enjoyable and stimulating 

Excellent content, very lively thanks to the 2 excellent presenters - Anonymous

A very good introduction to DSP theory

Excellent lecturers! Really useful information and very understandable

Great mix of theory and practice

The lecturers gave a detailed and excellent explanation of the fundamental topics of DSP with real world engineering practice.

This session closes the gap and clears up much confusion between classroom DSP theories and actual DSP implementation.

Very good session, with in-depth discussion on the math and background.


These courses will be held at the University of Oxford, UK

Copyright © 2025 Delta Numerix


Wednesday, 15 January 2025

Understanding First Order Filters

While sorting through some very old papers I came across a solution to an interesting problem that I I struggled with when I was learning DSP. I have no idea where the original problem came from so I've replicated it here, as best I can remember, along with the solution:

The following first order direct form II filter :

                 w(n)
x(n) -->+-------------------+-->y(n)
        ^         |         ^
        |       +----+      |
        |       |z^-1|      |
        |       +----+      |
        |         |         |
        |         v         |
        ----*-----------*----
           a1  w(n-1)  b1

Is defined by the following equations:

y(n) = w(n) + b1.w(n-1)     (1)

w(n) = x(n) + a1.w(n-1)     (2)

Question: Show the difference equation in terms of y and x ?

Hint: Rearranging to a direct form I filter structure will help.

Solution

Diagramatically

The original system is a Linear Time Invariant (LTI) system so the feedforward and feedback sections can be swapped without changing the system response:

x(n) -------------+-------------->y(n)
         |        ^        |
       +----+     |      +----+
       |z^-1|     |      |z^-1|
       +----+     |      +----+
         |        |        |
         v        |        v
         ----*----+----*----
            b1        a1

Hence:

y(n) = x(n) + b1.x(n-1) + a1.y(n-1)


Mathematically

From (2):

w(n-1) = x(n-1) + a1.w(n-2)     (3)

Substituting (2) and (3) into (1), to compute the output:

y(n) = x(n) + a1.w(n-1) + b1.[x(n-1) + a1.(w(n-2)]     (4)

Rearranging to combine w terms:

y(n) = x(n) + b1.x(n-1) + a1.[w(n-1) + b1.w(n-2)]     (5)

From (1):     y(n-1) = w(n-1) + b1.w(n-2)     (6)

Substituting (6) into (5) gives:

y(n) = x(n) + b1 x(n-1) + a1 y(n-1)


Copyright © 2025 Delta Numerix