Python for Digital Signal Processing (DSP) From Ground Up from Udemy

This course will bridge the gap between the theory and implementation of Signal Processing Algorithms and their implementation in Python. All the lecture slides and python codes are provided.

Why Signal Processing?

Since the availability of digital computers in the 1970s, digital signal processing has found its way in all sections of engineering and sciences.

Signal processing is the manipulation of the basic nature of a signal to get the desired shaping of the signal at the output. It is concerned with the representation of signals by a sequence of numbers or symbols and the processing of these signals.

Following areas of sciences and engineering are specially benefitted by rapid growth and advancement in signal processing techniques.

1. Machine Learning.

2. Data Analysis.

3. Computer Vision.

4. Image Processing

5. Communication Systems.

6. Power Electronics.

7. Probability and Statistics.

8. Time Series Analysis.

9. Finance

10. Decision Theory

11. Biomedical Signal Processing

12. Health care

Course Outline

Section 01: Introduction of the course

Section 02: Python crash course

Section 03: Fundamentals of Signal Processing

Section 04: Convolution of Signals

Section 05: Signal Denoising Filters

Section 06: Complex Numbers

Section 07: Fourier Transform

Section 08: FIR Filter Design

Section 09: IIR Filter Design

What's inside

Syllabus

Introduction of the course

Introduction of the Course

Pace of Lecture delivery

Yon can download the complete course material including Lecture slides and Python codes

Python Crash Course

Introduction of the section

Python Installment

Introduction of Jupyter Notebook

Installing Python Packages

Arithmatic with Python- Part 01

Arithmatic with Python- Part 02

Arithmatic with Python- Part 03

Dealing with Arrays-Part01

Dealing with arrays-Part02

Dealing with arrays-Part03

Plotting and Visualization-Part01

Plotting and Visualization-Part02

Plotting and Visualization-Part03

Plotting and Visualization-Part04

Lists in Python

For Loops - Part01

For Loops - Part02

Analog to Digital Conversion

Elements of signal processing system

AD Conversion

AD Conversion With Python

Quantized to digital conversion

Fundamental Continuous time signal

Continuous time signals in Python

Fundamental Discrete time signals

Discrete time signals in Python

Sampling and Reconstruction

Sampling and Reconstruction in Python

The Convolution

The Convolution Sum

Numerical Example on convolution

Full mode convolution

Convolution using for loop in Python

Convolution using NumPy

Application 01 : Signal denoising using Convolution

Application 02 : Edge detection using Convolution

Convolution Theorem

Signal Denoising

Moving Average Filter

Moving Average Filter in Python

Gaussian Mean Filter

Gaussian Mean Filter in Python

Median Filter

Median Filter in Python

Removing Spiky Noise by Median Filter

Removing Spiky Noise by Median Filter in Python Part-01

Removing Spiky Noise by Median Filter in Python Part-02

Complex Numbers

Introduction of Complex Numbers

Complex Numbers in Python

Maths of Complex Numbers Part-01

Maths of Complex Numbers Part-02

Maths of Complex Numbers in Python

Magnitude and Phase calculations

Magnitude and Phase calculations in Python

Complex Sine wave

Complex Sine wave in Python

Fourier Transform

Combining Sine and Cosine Waves

Generating Waves in Python

Mechanism of Fourier Transform

Step by step coding of Fourier Transform

Fast Fourier Transform

FT of signal with DC component

Amplitude and Power Spectrum

Inverse Fourier Transform

Application of FT : Signal stationarity Part-01

Application of FT : Signal stationarity Part-02

FIR Filter Design

Introduction to digital filters

Steps for designing FIR filters

FIR filter design by Least Square Method

FIR filter design by Window Method

FIR Zero Shift Filter

Low Pass FIR filter

Low Pass FIR filter in Python

High Pass FIR filter

High Pass FIR filter in Python

Band Pass FIR filter

Band Pass FIR filter in Python

Tasks for students

IIR Filter Design

Steps for designing IIR Butterworth filters

IIR Butterworth Filter design in Python

Low Pass IIR filter

High Pass IIR filter

Band Pass IIR filter

Comparison between FIR and IIR Filters

Task for students

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Python for Digital Signal Processing (DSP) From Ground Up with these activities:

Review Linear Algebra Fundamentals

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Strengthen your understanding of linear algebra concepts, which are crucial for understanding signal processing algorithms and their implementation.

Browse courses on Linear Algebra

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Review matrix operations such as addition, subtraction, multiplication, and inversion.
Study vector spaces, linear independence, and basis vectors.
Understand eigenvalues and eigenvectors and their role in signal analysis.

Understanding Digital Signal Processing

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Supplement your learning with a comprehensive textbook that covers the theoretical foundations and practical applications of digital signal processing.

View Digital Signal Processing: A Practical Guide... on Amazon

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Read the chapters related to the topics covered in the course.
Work through the examples and exercises in the book to reinforce your understanding.
Use the book as a reference when working on projects and assignments.

Implement Convolution in Python from Scratch

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Solidify your understanding of convolution by implementing it manually in Python, without relying on built-in functions.

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Write a Python function that takes two input signals (arrays) as arguments.
Implement the convolution sum formula using loops.
Test your function with various input signals and compare the results with NumPy's convolve function.

Four other activities

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Follow Online Tutorials on Filter Design

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Enhance your filter design skills by following online tutorials that provide step-by-step instructions and practical examples.

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Search for tutorials on FIR and IIR filter design using Python.
Follow the tutorials and implement the filter designs in Python.
Experiment with different filter parameters and analyze the results.

Think DSP

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Explore a Python-centric approach to DSP with a book that emphasizes practical examples and intuitive explanations.

View Think Stats: Exploratory Data Analysis on Amazon

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Read the chapters that align with the course syllabus.
Run the code examples provided in the book and experiment with different parameters.
Attempt the exercises at the end of each chapter to test your understanding.

Create a Blog Post on Signal Denoising Techniques

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Reinforce your knowledge of signal denoising by writing a blog post explaining different techniques and their applications.

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Research different signal denoising techniques, such as moving average, Gaussian, and median filters.
Write a clear and concise explanation of each technique, including its advantages and disadvantages.
Include Python code examples to demonstrate how to implement each technique.
Publish your blog post on a platform like Medium or your personal website.

Build a Real-Time Audio Spectrum Analyzer

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Apply your knowledge of Fourier Transform to build a real-time audio spectrum analyzer using Python and a suitable audio library.

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Choose an audio library like PyAudio or sounddevice to capture audio input from your microphone.
Implement the Fast Fourier Transform (FFT) algorithm to analyze the frequency content of the audio signal.
Visualize the spectrum using a plotting library like Matplotlib or Seaborn.
Optimize your code for real-time performance.

Career center

Learners who complete Python for Digital Signal Processing (DSP) From Ground Up will develop knowledge and skills that may be useful to these careers:

Signal Processing Engineer

A Signal Processing Engineer develops and implements signal processing algorithms to extract meaningful information from data. This role is central to various fields, including telecommunications, audio processing, and medical imaging. This course helps build a foundation in the practical application of signal processing techniques using Python, a crucial skill for any signal processing engineer. By covering topics like convolution, Fourier transforms, and filter design, the course provides insights into the tools and methodologies used daily by signal processing engineers. The course's exploration of FIR and IIR filter design may be useful for creating optimized signal processing systems.

See salaries and explore the career path for Signal Processing Engineer

Audio Engineer

An Audio Engineer works with sound, from recording and mixing to mastering and playback. This course provides a strong base in the principles of signal processing, which are essential for manipulating and enhancing audio signals. The course dives into filter design and Fourier transforms may be useful for audio equalization, noise reduction, and effects processing. The practical Python examples directly translate to real-world audio processing tasks. The course's emphasis on digital signal processing techniques helps the audio engineer to improve their capabilities in audio manipulation.

See salaries and explore the career path for Audio Engineer

Image Processing Engineer

An Image Processing Engineer develops algorithms and systems for processing, analyzing, and manipulating digital images. This role requires an understanding of signal processing techniques as images are often treated as two dimensional signals. This course introduces the fundamental signal processing concepts and Python programming skills necessary for image processing. The modules on convolution and filter design are applicable since they form the basis of many image processing algorithms. Learning about Fourier transforms may be useful for frequency domain image analysis. For the image processing engineer, this course helps in building a foundation in the application of signal processing, crucial for manipulating images.

See salaries and explore the career path for Image Processing Engineer

Data Scientist

Data Scientists analyze large datasets to discover trends and insights that drive business decisions. They use programming languages and statistical techniques to interpret complex data. A course such as this helps build a foundation in the application of signal processing techniques to data analysis, an increasingly important skill for data scientists dealing with time-series data or sensor data. The course's focus on Python implementations and Fourier transforms may be useful for analyzing and manipulating data effectively. This course can help a data scientist to unlock new insights from complex datasets, in addition to boosting their coding skillset.

See salaries and explore the career path for Data Scientist

Biomedical Engineer

Biomedical Engineers apply engineering principles to solve medical and healthcare-related problems. Signal processing is crucial in analyzing biomedical signals like ECGs and EEGs. This course offers a practical introduction to the signal processing techniques used to extract meaningful information from these complex signals. The modules on signal denoising and filter design are relevant because these algorithms are used to clean up noisy biomedical data. Learning about Fourier transforms may be useful for frequency domain analysis of physiological signals. For the biomedical engineer, this course helps in the application of signal processing to interpreting biomedical data.

See salaries and explore the career path for Biomedical Engineer

Machine Learning Engineer

Machine Learning Engineers design, develop, and deploy machine learning models. They need a strong understanding of algorithms and software development. Since machine learning leverages signal processing, this course provides a practical introduction to the tools and techniques needed to preprocess and analyze data for machine learning applications. The course goes into topics such as signal denoising and feature extraction, which are crucial preprocessing steps in many machine learning pipelines. The course's practical Python implementations may be useful to machine learning engineers to rapidly prototype and implement these algorithms.

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Robotics Engineer

Robotics Engineers design, build, and program robots for various applications. Signal processing is vital for interpreting sensor data and controlling robot movements. This course introduces the signal processing techniques necessary for analyzing sensor data and implementing control algorithms. The modules on filter design and convolution are applicable for smoothing sensor data and implementing control loops. Learning about Python helps Robotics Engineers to prototype and implement signal processing algorithms directly on robotic platforms. The course's grounding in signal processing helps the robotics engineer to process data from sensors to make robots more autonomous.

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Electronic Engineer

Electronic Engineers design, develop, and test electronic components, circuits, and systems. Signal processing forms a crucial part of many electronic systems, from communication devices to embedded systems. This course introduces the core signal processing concepts and programming skills. The modules on filter design, Fourier transforms, and convolution provide necessary tools for analyzing and manipulating signals in electronic circuits. For the electronic engineer, a course such as this helps in the analysis of signals within electronic circuits.

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Financial Analyst

Financial Analysts provide guidance to businesses and individuals making investment decisions. Since financial data is often analyzed using signal processing techniques, this course helps a financial analyst in applying signal processing to time series data, which is common in finance. Topics include noise reduction, which is used in algorithmic trading to reduce noise in data, as well as time series analysis. The course's focus on Python may be useful for financial modeling. A financial analyst benefits from enhancing their skills in analyzing temporal data.

See salaries and explore the career path for Financial Analyst

Data Analyst

Data Analysts interpret data, analyze results using statistical techniques, and provide ongoing reports. The work of a Data Analyst includes identifying, analyzing, and interpreting trends or patterns in complex datasets. This course may be useful as it covers the fundamentals of signal processing, along with a Python crash course. The modules on signal denoising and time series analysis are applicable because these are used to clean up noisy data, and to model data across time. The course can help a data analyst unlock information from datasets.

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Control Systems Engineer

Control Systems Engineers design and implement systems that control dynamic processes. These systems rely heavily on signal processing for filtering, feedback, and stability analysis. This course may be useful because it introduces practical techniques for designing and implementing digital filters in Python, which are used in control systems to condition sensor signals and shape system responses. The course's coverage of FIR and IIR filter design provides a solid foundation for implementing stable and effective control systems. The control systems engineer benefits from learning how to design and implement digital filters in Python.

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Firmware Engineer

Firmware Engineers develop the low-level software that controls hardware devices. Signal processing is often implemented in firmware for tasks like sensor data processing and motor control. This course introduces the signal processing techniques and Python programming skills needed to develop efficient firmware algorithms. The modules on filter design and convolution are applicable for implementing real-time signal processing in embedded systems. The focus on practical Python implementations may be useful for translating algorithms into C/C++ code, which is commonly used in firmware development. For the firmware engineer, this course helps in implementing efficient firmware algorithms.

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Acoustic Consultant

Acoustic Consultants measure and assess noise and vibration levels in various environments. Signal processing is used to analyze acoustic signals and design noise control measures. This course may be useful because it introduces the core signal processing concepts and Python programming skills needed to analyze acoustic data. Understanding Fourier transforms and filter design may prove helpful to acoustic consultants. An Acoustic Consultant may benefit from enhancing their understanding of signal processing.

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Cybersecurity Analyst

Cybersecurity Analysts protect computer systems and networks from cyber threats. Signal processing techniques can be used to analyze network traffic and detect anomalies that may indicate malicious activity. This course may be useful, as it introduces signal processing concepts, which can be used to analyze patterns in network data. The modules on Fourier transforms and filter design may be useful for identifying unusual traffic patterns and filtering out noise. The cybersecurity analyst may benefit from this course, as it enhances their understanding of network traffic.

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Game Developer

Game Developers create video games for various platforms. Signal processing is used in game development for audio processing, visual effects, and physics simulations. This course may be useful, as it introduces techniques for manipulating signals, which are relevant to game development. The modules on filter design and convolution may be useful for creating audio effects and smoothing animations. A game developer may benefit from further increasing their competence in this area.

See salaries and explore the career path for Game Developer

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Python for Digital Signal Processing (DSP) From Ground Up.

Digital Signal Processing: A Practical Guide for...

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Provides a practical and accessible introduction to digital signal processing. It covers a wide range of topics, from basic concepts to advanced techniques, with a focus on real-world applications. It is particularly useful for understanding the underlying principles of DSP and how they can be applied in various fields. This book valuable reference for both beginners and experienced practitioners.

Digital Signal Processing: A Practical Guide for...

Paperback

$$$

Digital Signal Processing: A Practical Guide for...

Kindle Edition

$$$

Think STATS

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Offers a gentle introduction to digital signal processing using Python. It emphasizes hands-on learning and provides numerous examples and exercises. It is particularly helpful for students who are new to both DSP and Python. This book is more valuable as additional reading to reinforce concepts learned in the course. It is not commonly used as a textbook at academic institutions, but it great resource for self-study.

Think Stats: Exploratory Data Analysis

Paperback

$$$

Python for Digital Signal Processing (DSP) From Ground Up

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