Imagine if the efficiency of digital storage and the precision of electromagnetic wave transmission depended mainly on one crucial area of electrical engineering. This area is Signal Processing, a key branch that focuses on analyzing, modifying, and synthesizing various signals. These signals can be sound, images, or scientific measurements.
This field has a rich history, dating back to the 17th century with classical numerical analysis. By the mid-20th century, it had evolved into complex digital control systems. Claude Shannon’s groundbreaking work in 1948 was a major turning point, laying the foundation for modern information communication systems. His ideas have greatly influenced how we approach signal processing today.
Signal processing has a wide range of applications. For example, digital signal processing (DSP) is found in everything from smartphones to self-driving cars. These devices use specialized DSP chips and algorithms for top-notch performance. Statistical signal processing, meanwhile, is crucial for enhancing image quality by reducing noise through statistical methods. It’s also essential in data science and audio engineering, where it helps extract valuable insights from large datasets12.
Key Takeaways
- Signal Processing is vital for making digital storage efficient and ensuring accurate electromagnetic wave transmission.
- It has its roots in the 17th century, starting with classical numerical analysis techniques.
- Claude Shannon’s work in 1948 was a pivotal moment, setting the stage for modern information communication systems.
- Digital signal processing (DSP) is now crucial in many modern technologies.
- Statistical signal processing uses statistical methods to improve data interpretation in various fields.
- Specialized DSP chips enhance efficiency in devices such as smartphones and self-driving cars.
- Signal processing is applied across different areas, from communication systems to enhancing images.
Introduction to Signal Processing
Signal processing is a vital field that transforms physical waveforms into electronic signals. These signals are then optimized for efficient transmission and storage. It uses both analog and digital methods, serving a wide range of applications from communication systems to medical imaging.
A key part of signal processing is signal conversion, where analog signals are turned into digital for better processing and storage. This shift from analog to digital, starting in the late 20th century, has greatly improved signal processing efficiency3. Digital signal processing (DSP) runs on software, fitting various platforms from desktops to specialized chips3.
In addition, electronic signal processing is crucial across industries like Audio Signal Processing, digital image processing, and speech recognition. These fields use filters to cut down noise and boost signal quality4 Equalizers are essential for aligning sound spectrums, ensuring clear transmission4.
DSP is widespread due to its advantages in signal transmission. Digital filters offer higher accuracy and reliability by solving analog component tolerance issues3. Filters, whether FIR or IIR, are widely used, each with distinct benefits: FIR filters ensure zero phase shifts, while IIR filters are more efficient3.
Classic texts like “Signal Processing” by Sophocles J. Orfanidis have been foundational. They provide a practical introduction to DSP, focusing on hands-on operations in C and MATLAB5. The book has been updated to fix errors and is available in PDF and paperback since 20105.
The shift from analog to digital in signal processing has transformed the field. It has introduced advanced techniques for signal conversion, noise reduction, and enhancement. This evolution continues to shape various sectors, offering new capabilities in data acquisition, telecommunications, and more3.
Analog Signal Processing
Analog signal processing deals with continuous value representation, unlike digital methods which use discrete values6. Key components include capacitors, resistors, inductors, transistors, and opamps6. These elements are crucial for various linear and nonlinear circuits, vital in communications and electronics.
Linear and Nonlinear Circuits
Linear circuits, like integrators and mixers, are essential for shaping signals in radio and TV systems7. They use passive and active filters to refine signal properties. Nonlinear circuits, including compandors and multipliers, perform complex tasks. Concepts like convolution and the Fourier transform are vital for analyzing and processing signals in both time and frequency domains6.
Applications in Radio and TV Systems
Analog signal processing is crucial in radio and TV signal processing. Voltage-controlled oscillators are key for stable frequencies. Filters, both passive and active, ensure signal quality. Convolutions blend signals effectively, and Bode plots display system characteristics over frequency6. Moreover, analog processing is vital in control and image processing of consumer electronics7.
Digital Signal Processing (DSP)
Digital Signal Processing (DSP) is crucial in today’s technology, used in telecommunications, medical imaging, and control systems8. It leverages specialized digital circuits, such as ASICs and digital signal processor chips, to perform complex mathematical tasks on digitized signals9. These digital circuits ensure real-time processing, significantly improving the signal-to-noise ratio and receiver sensitivity8.
DSP Chips and Algorithms
Digital signal processor chips are vital for managing repetitive tasks and swiftly transferring large data to memory, utilizing unique instruction sets for enhanced hardware efficiency8. These chips consist of program memory, data memory, a compute engine, and input/output components8. They execute critical operations, including real-valued multiplication, through algorithms like the FFT algorithm, facilitating signal analysis and conversion9.
Applications in Modern Technology
DSPs are vital across various modern technologies. In audio applications, they reduce noise, perform equalization, compression, and pitch correction8. For telecommunications, DSP chips compress signals for efficient transmission, improving speech clarity and reducing background noise9. Additionally, DSPs enhance video compression, security systems, and multimedia applications by improving signal quality9. The architectural designs of DSP, including the Von Neumann and Harvard Architectures, facilitate efficient signal processing by separating storage and processing pathways8.
Component | Function | Application |
---|---|---|
Program Memory | Stores instructions | All DSP operations |
Data Memory | Stores data | Input/output data management |
Compute Engine | Performs arithmetic operations | Real-valued multiplication, FFT algorithm |
Input/Output Components | Handle external signals | Interface with other digital circuits |
Image Processing
Image processing is crucial for enhancing digital cameras by applying advanced digital image analysis techniques. This field involves numerous methods to refine and improve digital images, significantly boosting clarity and detail. Through image enhancement, professionals in fields like medical diagnostics achieve more precise and accurate results, leading to better patient outcomes.
ECE researchers are at the forefront of developing innovative technologies in this area. Professors Liyue Shen, Qing Qu, and Jeff Fessler lead projects to create efficient diffusion models for scientific and medical applications. This underscores the significance of digital image analysis in various scientific fields10. Additionally, the collaborative efforts of research teams selected for the new Boost program showcase the potential of image enhancement for advancing technology across different sectors10.
Signal processing in digital cameras and imaging systems involves complex courses and electives. These range from digital signal processing to image and video signal processing7. Faculty members with expertise in control systems and optical imaging provide crucial education to undergraduates. This equips them with the skills needed to excel in these fields7.
Furthermore, the practical applications of image processing extend to consumer electronics, enhancing user experiences through improved visual outputs7. The integration of digital image analysis and image enhancement techniques keeps the technology at the cutting edge of innovation. This significantly contributes to various industries.
Speech Processing
Speech processing technologies have transformed our interactions with devices, making voice communication seamless and enhancing digital assistants. Automatic speech recognition is a key part of this, turning spoken words into text for voice commands. This tech is crucial for digital assistants like Siri, Alexa, and Google Assistant.
Speech Recognition
Automatic speech recognition involves complex steps, including analog-to-digital conversion and audio compression for high fidelity and efficiency. Dr. Ravi Ramachandran is working on improving speech and speaker recognition despite noise and channel effects11. He uses robust classifiers and fusion strategies for better decision-making.
Training in speech waveforms, spectrograms, and pitch contours is crucial for expertise in speech communication12. Wavelet-based pitch detection enhances signal quality and noise reduction in speech recognition11. Educational programs focus on short-time spectrum analysis and sound spectrogram computation12.
Such detailed training leads to better speech recognition and its use in everyday tech.
Hearing Aids
Speech processing is vital for hearing aid development and improvement. Techniques like audio compression enhance clarity and reduce background noise, offering users a clearer sound experience. Linear prediction analysis, including formant analysis and lattice structures, helps refine these devices12.
New tech for automatic speech recognition can improve hearing aids, making them better at distinguishing sounds. This leads to better voice communication for users. Continuous research ensures hearing aids and speech recognition systems keep improving, helping those with hearing loss interact smoothly with digital assistants.
Filter Design
Filter design is crucial in signal processing, allowing the manipulation of signal frequencies to improve signal quality and effectiveness. Various filter types, such as analog and digital filters, are used based on specific needs and applications.
Types of Filters
Filters are categorized into several types, including low-pass, high-pass, band-pass, and band-stop filters. Low-pass filters allow signals with frequencies below a cutoff frequency to pass while blocking higher frequencies. In analog design, filters like Chebyshev, Butterworth, Bessel, and Elliptic are used, each with distinct transfer functions and roll-off rates13.
Digital filtering uses mathematical algorithms to process digital signals, offering greater precision and flexibility than traditional methods14. These filters are classified as finite impulse response (FIR) or infinite impulse response (IIR. IIR filters are chosen for sharp frequency responses, while FIR filters are valued for their stability and linear phase13.
Applications of Filtering
Filtering is vital in various industries, including telecommunications, audio recording, radar, control systems, and image processing14. In telecommunications, filters are crucial for frequency-division multiplexing, allocating channels to signals13. In digital modulation systems, filters must have a flat phase delay to maintain signal integrity during transmission.
In digital filtering, anti-aliasing filters are essential to remove high-frequency components before sampling, preventing aliasing distortions14. MATLAB software is widely used for designing and simulating these systems due to its extensive tools14.
Filters, whether analog or digital, play a vital role in managing and enhancing signal integrity. The diversity of filters and their applications underscores the importance and versatility of filter technology in signal processing today.
Analog vs Digital Signal Processing
Analog and digital signals differ significantly in their characteristics and processing methods. Analog signals, featuring continuous waveforms like sine waves, vary in magnitude over time. They support real-time processing and require minimal bandwidth152>. Conversely, digital signals, being discrete and quantized, use square waves. They demand higher bandwidth but excel in flexibility and manipulation due to their discrete nature15
In summary, the comparison between analog and digital signal processing highlights substantial differences in implementation, efficiency, and application scope. Understanding these distinctions is vital for selecting the right technology in various sectors, from communications to digital imaging. This knowledge enhances the effectiveness of signal processing methodologies across the board.
Wavelet Transform
The Wavelet Transform is a pivotal method in signal processing, enabling time-frequency analysis. It decomposes signals into components with specific temporal and frequency details. This technique excels in image compression, denoising, and feature extraction by efficiently capturing localized signal details17.
The Discrete Wavelet Transform (DWT) is a leading technique for these applications in image processing17.
The Stationary Wavelet Transform (SWT) overcomes DWT’s translation invariance issue, ideal for tasks like medical image analysis and machinery fault detection17. The Undecimated Wavelet Transform (UDWT) keeps all coefficients at each level, ensuring a shift-invariant signal representation. This enhances image denoising capabilities17.
The Wavelet Packet Transform (WPT) provides a deeper sub-band analysis by decomposing both approximation and detail coefficients. This is crucial in audio signal processing17. The Dual-Tree Wavelet Transform (DTWT) stands out in processing directional components in signals, making it effective in image and video coding17.
Wavelet transforms are vital for time-frequency analysis of data that varies across multiple scales18. The discrete wavelet transform is more commonly used than its continuous counterpart, thanks to its redundancy. This makes minor defects more visible, aiding in feature extraction18. In power systems, transmission lines, responsible for over 85% of faults, are analyzed using wavelet transform for early fault detection and diagnosis18.
Studies show that wavelet transforms outperform other methods in extracting features from electrocardiographic signals and other data types19. This field remains active, focusing on time-scale analysis of discrete signals19. As a result, wavelet transforms are a crucial and evolving topic in signal processing19.
Nonlinear Signal Processing
The field of nonlinear signal processing delves into signals from systems exhibiting complex behaviors, such as bifurcations and chaos theory. These phenomena are tackled using advanced computational techniques that differ from traditional linear methods. The study of nonlinear systems and harmonic signals offers deep insights into system dynamics and signal transformations.
Complex Behaviors
Nonlinear systems analysis uncovers complex behaviors like chaos theory and bifurcations, essential for grasping the unpredictable fluctuations and significant changes in physical systems. Artificial Neural Networks (ANNs) emulate biological neural networks, generalizing data to perform tasks such as classification and pattern recognition efficiently20. Machine learning algorithms further enhance signal processing by improving regression, classification, and noise reduction through various learning methods21.
Polynomial Signal Processing
Polynomial signal processing broadens traditional linear methods by incorporating polynomial techniques. This enables a deeper understanding of system dynamics and behavior, leading to more accurate signal interpretation and manipulation. For instance, in optical communications, digital back-propagation (DBP) is being refined with machine learning (ML) to counteract fiber nonlinearity, enhancing Q-factor in 28-GBaud 16-QAM systems22. Fuzzy logic systems, a subset of artificial neural networks, perform nonlinear mappings between inputs and outputs, offering practical solutions where traditional models fail20.
Technique | Application | Benefits |
---|---|---|
Artificial Neural Networks | Classification, Pattern Recognition | Handles incomplete data, operates in parallel20 |
Digital Back-Propagation (DBP) | Fiber Nonlinearity Compensation | Improved Q-factor in optical systems22 |
Fuzzy Logic Systems | Signal Mapping | Effective in absence of mathematical models20 |
In conclusion, nonlinear signal processing unlocks numerous possibilities by addressing complex behaviors and employing polynomial methodologies. This significantly advances the field through enhanced analytical capabilities and innovative applications.
Statistical Signal Processing
Statistical Signal Processing treats signals as stochastic processes, utilizing their statistical properties for tasks like noise reduction and signal enhancement. It spans a wide range of fields, including communication systems, machine learning, and remote sensing23. This field also showcases real-world examples that bring mathematical concepts to life23.
This approach is vital for optimizing signals. Engineers use statistical techniques to refine signal processing, enhancing the clarity and reliability of information transmission. Dr. Spagnolini’s 25 years of teaching graduate-level courses in digital and statistical signal processing highlight the practicality of these methods23. His 300 patents and papers further demonstrate the innovation driving this field23.
MDPI’s open-access policy in statistical signal processing allows for the reuse of articles without special permission24. The special issue on “Statistical Signal Processing: Theory, Methods and Applications” introduces novel approaches to a broader audience24. With a December 10, 2024, deadline for submissions, the issue has garnered 9715 views24.
Statistical signal processing is crucial for electrical engineers in the ICT industry23. It’s also a great resource for engineering students, applied mathematics post-graduates, and advanced undergraduates in electrical engineering and applied statistics23. The inclusion of MATLAB code in experiments makes learning more practical23. This field offers numerous resources and research opportunities for those eager to deepen their knowledge.
Applications in Electronics Engineering
Signal processing is essential in electronics engineering, touching on communication systems and control systems. It’s key for efficient data transmission, ensuring machine stability, and enhancing seismic signal processing.
Communication Systems
In communication systems, signal processing is crucial for encoding, encrypting, compressing, and transmitting data reliably. This technology boosts the efficiency of digital communications, radar, sonar, seismology, and sound navigation and ranging systems25. Radar is vital in air-traffic control to prevent collisions and in meteorology for predicting weather25. Sonar is crucial for detecting underwater objects and navigating underwater25.
Signal processing also impacts digital image processing and audio compression, making devices like radios, televisions, and smartphones work better. This enhances the quality of pictures and sounds26. Filters in communication systems remove unwanted parts of a signal, reducing noise and making signals clearer26.
Control Systems
In control systems, signal processing is vital for process control and stability. Advanced algorithms enable real-time data encoding and feature extraction, crucial for managing complex systems. The Fourier transform helps uncover the frequency spectrum of signals, aiding in precise control of system components26.
Digital signal processing is a key topic in the Fundamentals of Engineering (FE) exam and is covered in FE exam prep courses25. DSP processors are important, executing one instruction per clock cycle for good performance with low power and memory usage25. Modern control systems depend on these processors for accurate and reliable operations.
Future Trends in Signal Processing
Advancements in technology are set to revolutionize signal processing, with a focus on machine learning in signal processing. This integration promises to enhance model accuracy and robustness across various applications. As IoT and digital technologies expand, the demand for sophisticated signal processing grows exponentially2728.
Autonomous vehicles lead this charge, leveraging AI-driven signal analysis for navigation and safety. These vehicles process sensor data using complex algorithms, ensuring safe and efficient journeys28. For example, NASA’s collaboration with Microchip Technology on the High-Performance Spaceflight Computing (HPSC) processor exemplifies the progress in signal processing for real-time applications29.
Signal processing is also transforming medical imaging, such as CT, MRI, and PET scans. By applying machine learning, these techniques are improving in resolution and diagnostic precision28. This evolution highlights signal processing’s broad impact across medicine, telecommunications, and geophysics28.
Academic research in signal processing is vibrant, with impactful studies featured in journals like Inventions. The signal processing special issue in this journal has attracted a broad audience, with 26,425 views27. This issue covers a wide range of applications, from mechanical to biological systems27.
Collaboration between engineering and signal processing is crucial in aerospace and defense. Time Sensitive Networking (TSN) is being evaluated for its ability to handle high-bandwidth data deterministically, underscoring the importance of advanced signal processing in critical missions29. Furthermore, the RISC-V ecosystem, with nearly 4,000 members across 70 countries, including industry leaders like Qualcomm, Intel, and AMD, fosters global innovation through open access to its architecture29.
Trend | Application | Impact |
---|---|---|
Machine Learning Integration | Medical Imaging, Telecommunications | Improved Accuracy and Robustness |
Autonomous Vehicles | Navigation and Safety | Real-time Data Processing |
Time Sensitive Networking | Aerospace, Defense | Deterministic Networking |
Open-Source Architectures | Global Innovation | Accelerated Development |
Conclusion
Signal processing is a fundamental element in the technological sphere, evolving with each advancement in processing and technology integration. Its importance is evident across sectors like telecommunications, healthcare, audio engineering, and defense. This underscores its crucial role in our data-centric world.
Digital Signal Processing (DSP) plays a pivotal role in various fields, including communication systems, medical imaging, and consumer electronics. For example, DSP algorithms improve signal quality in telecommunications, ensuring data and voice calls are transmitted reliably30. In medical imaging, it’s vital for processing MRI and CT scans, providing accurate diagnostic data to healthcare professionals swiftly30. Furthermore, DSP has transformed audio engineering, from eliminating noise in headphones to enhancing music production quality30.
However, challenges like computational complexity and power consumption persist. Future trends suggest integrating machine learning with DSP and adapting to 5G and IoT technologies30. The BER of 0.008% at a signal-to-noise ratio of -10 dB highlights the precision of modern DSP techniques31. Looking forward, ongoing innovation in signal processing is set to meet the increasing need for more efficient and powerful technological solutions.
FAQ
What is Signal Processing?
Signal Processing is a vital part of electrical engineering. It deals with analyzing, modifying, and synthesizing various signals. These signals can be sound, images, or scientific data.
What are the historical roots of Signal Processing?
The history of Signal Processing goes back to the 17th century with classical numerical analysis. It evolved further with digital control systems in the mid-20th century. Claude Shannon’s work in 1948 was a significant milestone.
What is Analog Signal Processing?
Analog Signal Processing manipulates signals before they are digitized. It’s used in traditional systems like radio, telephone, and television. Tools like filters and mixers are used for this purpose.
What kinds of circuits are used in Analog Signal Processing?
Linear circuits, such as integrators and mixers, are used for Analog Signal Processing. Nonlinear circuits, including compandors and multipliers, are also crucial. These components were essential in early communication devices.
What is Digital Signal Processing (DSP)?
DSP deals with signals that have been converted into digital form. It uses digital circuits like ASICs and DSP chips for tasks such as multiplication and addition. This technology is crucial for modern communication and multimedia.
What are the applications of DSP in modern technology?
DSP is used in many modern technologies. It’s found in communication devices, multimedia tools, and in processing images and speech. Techniques like FFT algorithms and adaptive filters are used for these applications.
How is Image Processing used in technology?
Image Processing is crucial in digital cameras, computers, and medical diagnostics. It enhances and analyzes digital images. This improves diagnostic techniques and enhances image quality.
What is Speech Processing?
Speech Processing involves converting analog signals to digital and compressing audio. It’s vital for speech recognition, hearing aids, and digital assistants.
What is Filter Design in signal processing?
Filter Design focuses on adjusting frequencies to improve signal quality. It uses both analog and digital filters. These are crucial in various applications, from music playback to communication channels.
How do Analog and Digital Signal Processing differ?
The main difference is in their approach. Analog Signal Processing works with non-digitized signals. Digital Signal Processing, on the other hand, deals with digitized signals. Each has a unique impact on communication technologies.
What is Wavelet Transform used for in signal processing?
Wavelet Transform is a method for analyzing signals in both time and frequency domains. It breaks down signals into components with specific time and frequency details. This helps in reducing noise and compressing signals.
What is Nonlinear Signal Processing?
Nonlinear Signal Processing focuses on signals from complex systems. It studies their nonlinear behaviors like chaos and bifurcations. This extends traditional linear signal processing into the nonlinear realm.
What role does Statistical Signal Processing play?
Statistical Signal Processing views signals as random processes. It uses statistical properties for tasks like noise reduction in imaging. This enhances clarity through various statistical methods.
What are some main applications of Signal Processing in Electronics Engineering?
Signal Processing has many applications. It’s used in seismic analysis, audio processing, and data transmission. It also ensures machines operate stably and accurately in control systems.
What are future trends in Signal Processing?
Future trends include integrating machine learning for predictive analytics. New applications like autonomous driving are also emerging. Processing environmental signals is key for vehicle navigation and safety.
Source Links
- Signal Processing 101 – https://signalprocessingsociety.org/our-story/signal-processing-101
- Signal processing – https://en.wikipedia.org/wiki/Signal_processing
- What is Signal Processing? – https://dewesoft.com/blog/what-is-signal-processing
- Signal Processing: A Comprehensive Guide from Analog to Digital – Quarktwin Electronic Parts – https://www.quarktwin.com/blogs/integrated circuit/signal-processing-a-detailed-analysis/457
- Introduction to Signal Processing – http://eceweb1.rutgers.edu/~orfanidi/intro2sp/
- Analog signal processing – https://en.wikipedia.org/wiki/Analog_signal_processing
- Signal processing – https://ece.illinois.edu/academics/ugrad/subdisciplines/sigproc
- What is Digital Signal Processing (DSP)? – GeeksforGeeks – https://www.geeksforgeeks.org/what-is-digital-signal-processing/
- A Beginner’s Guide to Digital Signal Processing (DSP) – https://www.analog.com/en/lp/001/beginners-guide-to-dsp.html
- Signal & Image Processing and Machine Learning | Electrical & Computer Engineering at Michigan – https://ece.engin.umich.edu/research/research-areas/signal-image-processing-and-machine-learning/
- Signal, Speech, & Image Processing – https://engineering.rowan.edu/programs/electricalcomputer/research/signalprocessing.html
- School of Electrical and Computer Engineering – https://ece.gatech.edu/courses/ece6255
- Filter (signal processing) – https://en.wikipedia.org/wiki/Filter_(signal_processing)
- Signal Processing Algorithms, Applications, Techniques, Challenges – https://www.electronicsforu.com/technology-trends/learn-electronics/signal-processing
- Analog vs Digital – Difference and Comparison – https://www.diffen.com/difference/Analog_vs_Digital
- Difference Between Analog and Digital signal – GeeksforGeeks – https://www.geeksforgeeks.org/difference-between-analog-and-digital-signal/
- Understanding Wavelet Transform: A Powerful Signal Processing Tool – https://www.linkedin.com/pulse/understanding-wavelet-transform-powerful-signal-processing-vimalan-k-tegtc
- Signal Processing Application Based on a Hybrid Wavelet Transform to Fault Detection and Identification in Power System – https://www.mdpi.com/2078-2489/14/10/540
- IET Digital Library: Wavelet transforms: an introduction – https://digital-library.theiet.org/content/journals/10.1049/ecej_19940401
- Nonlinear Signal Processing – an overview – https://www.sciencedirect.com/topics/engineering/nonlinear-signal-processing
- Signal processing and machine learning – https://www.sintef.no/en/expertise/digital/sustainable-communication-technologies/signal-processing-and-machine-learning/
- Advancing theoretical understanding and practical performance of signal processing for nonlinear optical communications through machine learning – Nature Communications – https://www.nature.com/articles/s41467-020-17516-7
- Statistical Signal Processing in Engineering – by Umberto Spagnolini (Hardcover) – https://www.target.com/p/statistical-signal-processing-in-engineering-by-umberto-spagnolini-hardcover/-/A-89533858
- Applied Sciences – https://www.mdpi.com/journal/applsci/special_issues/statistical_signal_processing
- Digital Signal Processing in Electrical Engineering – https://www.schoolofpe.com/blog/2016/12/digital-signal-processing-in-electrical-engineering.html
- Signal processing: an introductory guide – https://www.student-circuit.com/learning/signal-processing-an-introductory-guide/
- Inventions – https://www.mdpi.com/journal/inventions/special_issues/0ZS14R6I83
- The future of signal processing – SoundsReal R&D – http://soundsreal.co.za/2023/03/30/article/
- The next generation in digital sensor and signal processing – https://www.militaryaerospace.com/computers/article/14310053/digital-sensor-signal-processing-embedded-computing-artificial-intelligence-ai
- Unleashing the Power of Digital Signal Processing in Electrical Engineering Application – https://www.linkedin.com/pulse/unleashing-power-digital-signal-processing-electrical-m-karthick-wds4c
- PDF – https://3ciencias.com/wp-content/uploads/2024/02/art-5-3c-tic-ed44-vol13-n1-Digital-Signal-Processing-Oriented-Electronic-Communication-Engineering-Applications-and-Practices.pdf