Fourier series - PowerPoint PPT Presentation


Understanding Audio and 1D Signals in Machine Learning

Explore the world of audio and 1D signals in machine learning through topics such as representing sound with frequencies, deep networks for audio analysis, and the common use cases of 1D time series data. Learn about signal analysis, frequency spectra, and the contributions of Jean Baptiste Joseph F

6 views • 40 slides


Exploring Brain Waves Through EEG Analysis

Delve into the world of brain waves with EEG, EKG, and EMG measurements. Learn how to analyze brain wave data using mathematical processes like Fast Fourier Transform (FFT) and Power Spectral Density (PSD). Discover the significance of different frequencies in brain wave signals and how they reflect

0 views • 13 slides



The Most Effective Test Series for Indian Statistical Service in India

Discover the most effective test series for Indian Statistical Service in India with our specialized program at ISS Coaching Institute. Our test series is designed to comprehensively cover the syllabus, simulate real exam conditions, and provide detailed performance analysis. With expert-curated que

1 views • 10 slides


Elevate Your ISS Scores: Top Test Series Choices

Boost your Indian Statistical Service (ISS) exam preparation with the best test series for ISS in India. Our curated selection of top test series is designed to enhance your understanding, improve time management, and identify areas for improvement. With expertly crafted questions and detailed perfo

0 views • 3 slides


Understanding Heat Transfer: Conduction, Thermal Conductivity, and More

Explore the fundamentals of heat transfer through conduction and thermal conductivity as explained by Dr. J. Badshah. Learn about the modes of heat transfer, Fourier's law, thermal resistance, and the relationship between thermal and electrical conductivity. Discover the essential features of therma

0 views • 9 slides


Enhancing Performance of EHV Lines through Series Compensation

Series compensation, involving connecting capacitors in series with electrical transmission lines, aims to improve EHV line performance by decreasing transmission impedance and enhancing voltage stability and transient stability. The method is a robust tool to optimize power transmission efficiency.

0 views • 51 slides


Understanding Reciprocal Lattices in Crystal Structures

Explore the concept of reciprocal lattices in crystal structures, including non-rectangular lattices, Fourier space in 2D, Wigner-Seitz cells, Brillouin Zones, and the relationship between BCC and FCC structures. Learn about primitive lattice vectors, construction of the Brillouin Zone, and the sign

0 views • 49 slides


Exploring GPU Parallelization for 2D Convolution Optimization

Our project focuses on enhancing the efficiency of 2D convolutions by implementing parallelization with GPUs. We delve into the significance of convolutions, strategies for parallelization, challenges faced, and the outcomes achieved. Through comparing direct convolution to Fast Fourier Transform (F

0 views • 29 slides


Geometric Series: Power Series Representations & Convergence

Geometric series analysis discusses the summation, convergence, and divergent properties within and outside the unit circle. The series' representation, convergence conditions, and extensions are explored through power series expansions and geometric series summations, providing a comprehensive unde

0 views • 50 slides


Understanding Fourier Analysis and Its Applications

Fourier analysis is essential in representing periodic functions using Fourier series, allowing for solving differential equations and approximating complex functions. The method extends to nonperiodic phenomena through Fourier integrals and transforms, with significant applications in engineering a

0 views • 21 slides


Study on Collective Flow and Participant Eccentricity in High-energy Heavy-ion Collisions

Explore the research on collective behavior, eccentricity, and flow of final state particles in high-energy heavy-ion collisions. Learn about the measurement of Fourier coefficients, azimuthal angles, and spatial anisotropy, as well as the analysis of system size dependence and radial flow in variou

1 views • 29 slides


Comprehensive Overview of Freezing Time Methods in Dairy Engineering

Neumann, Tao, and Non-Dimensional methods are key approaches for determining freezing times in unsteady state heat transfer processes in dairy engineering. The Neumann Problem, Tao Solutions, and Cleland and Earle Non-Dimensional Equation offer distinct equations and models to calculate freezing tim

1 views • 8 slides


Zebra ZT400 Series: Rugged Durability & Application Flexibility

The Zebra ZT400 Series offers rugged durability for demanding applications, loaded with features for flexibility, easy integration, operation, and management. Ideal for industries like manufacturing, transportation, logistics, retail, and healthcare, this series builds on the legacy of the ZM models

0 views • 13 slides


Aluminum Extrusion Market Thrives Despite Challenges: Innovations and Opportunit

Aluminum Extrusions Market; By Product(Shapes, Rods & Bars, Pipes & Tubes), By Type(2000 Series Aluminum, 3000 Series Aluminum, 5000 Series Aluminum, 6000 Series Aluminum, 7000 Series Aluminum), By Application(Building & Construction, Automotive & Tr

0 views • 4 slides


Understanding Sampling and Signal Processing Fundamentals

Sampling plays a crucial role in converting continuous-time signals into discrete-time signals for processing. This lecture covers periodic sampling, ideal sampling, Fourier transforms, Nyquist-Shannon sampling, and the processing of band-limited signals. It delves into the relationship between peri

1 views • 60 slides


Applications of Time-Frequency Analysis for Filter Design

Signal decomposition and filter design techniques are explored using time-frequency analysis. Signals can be decomposed in both time and frequency domains to extract desired components or remove noise. Various transform methods like the Fourier transform and fractional Fourier transform are employed

1 views • 35 slides


Understanding Fourier Transforms and Properties

Fourier transforms play a crucial role in signal processing by transforming signals between time and frequency domains. This outline covers the basics of Fourier transforms, discrete Fourier transforms, Fourier series, properties like symmetry and reciprocity, resolution in time and frequency, the D

0 views • 5 slides


Introduction to Data Analysis in Geophysics with Seismic Analysis Code - SAC Lab 2.1

Explore the world of geophysics data analysis using the SAC Lab 2.1 code. Learn about seismic analysis, Fourier transform analysis, spectral analysis, color tracing, integration, differentiation, and more. The SAC online documentation provides valuable resources for users to delve deeper into this f

0 views • 45 slides


Carnegie Mellon Algebraic Signal Processing Theory Overview

Carnegie Mellon University is at the forefront of Algebraic Signal Processing Theory, focusing on linear signal processing in the discrete domain. Their research covers concepts such as z-transform, C-transform, Fourier transform, and various signal models and filters. The key concept lies in the al

2 views • 40 slides


Electric Circuits: Series and Parallel Configurations Explained

In this lecture on electric circuits, we delve into series and parallel circuits featuring batteries, wires, resistors, and capacitors. Key concepts discussed include Kirchhoff's loop rule, series components, and equivalent resistance and capacitance. Learn how to simplify complex circuits and analy

0 views • 24 slides


Anomalous Heat Transport in Mathematical Physics

Anomalous heat transport deviates from standard Fourier law, exhibiting divergent heat conductance and non-trivial temperature profiles. Observations include long-range time correlations and divergent temperature gradients at boundaries. Models like coupled oscillators and hard disks with alternatin

0 views • 43 slides


Fourier Transform Infrared (FTIR) Spectroscopy Examples by Prof. Dr. Sulhattin YAŞAR

Fourier Transform Infrared (FTIR) spectroscopy is a technique used to obtain the absorption and emission spectra of solid, liquid, or gas substances. This content provides characteristic absorption peaks for various functional groups, such as alkane, alkyl, alkenyl, alkynyl, aromatic compounds, alco

0 views • 15 slides


Cosmic Shear Measurement in Fourier Space and Its Scientific Goals

Exploring the cosmic shear in Fourier space with a collaborative effort led by Jun Zhang from Shanghai Jiao Tong University sheds light on fundamental scientific questions related to dark energy, the geometry of the universe, General Relativity, cold dark matter, and cosmic structure density distrib

0 views • 48 slides


Quantum vs. Classical Computing: Exploring Forrelation Problem

Delve into the world of quantum and classical computing with the Forrelation problem that optimally separates the two realms. From Fourier correlations to quantum algorithms and classical lower bounds, explore the intricacies of distinguishing between quantum and classical computation through variou

0 views • 29 slides


Understanding Infinite Geometric Sequences and Convergent Series

Explore the concept of infinite geometric sequences in mathematics through the example of cutting a string into halves. Learn how to identify convergent series and calculate sums to infinity, distinguishing between convergent and divergent series based on the common ratio. Delve into the formula for

0 views • 12 slides


Advanced Microscopy Techniques in EUV Lithography: SHARP Overview

SHARP utilizes Fresnel zone plate lenses to achieve diffraction-limited quality in EUV lithography, offering a range of NA values and image magnifications. The system allows emulation of mask-side imaging conditions with hundreds of lenses available. Coherence control and engineering are provided th

0 views • 18 slides


Next-Generation Photomasks in Extreme Ultraviolet Lithography Symposium

Explore the latest advancements in actinic mask imaging and semiconductor high-NA reticle technology presented at the 2015 International Symposium on Extreme Ultraviolet Lithography in Maastricht. Topics include zoneplate lenses, phase reconstruction algorithms, Fourier Ptychography microscopy, and

0 views • 56 slides


Optical Security with Double Random Fractional Fourier Domain Encoding

Utilizing double random fractional Fourier domain encoding for optical security involves encryption and decryption methods based on the fractional Fourier transform of various orders, involving specific mathematical operations and notations. The process includes transforming the input function, encr

0 views • 13 slides


Understanding Harmonics in Electromagnetic Environments

In the realm of electromagnetic environments, the generation of electromagnetic interference (EMI) through harmonics plays a crucial role. This article delves into the concept of harmonics, their generation in simple DC power supplies, and the impact they have on electronic devices. From the basics

0 views • 31 slides


UCR Time Series Classification Archive Overview

The UCR Time Series Classification Archive, funded by NSF IIS-1161997 II and NSF IIS-1510741, provides valuable resources for researchers interested in time series data analysis. The archive contains datasets in TRAIN and TEST partitions, with data instances stored in ASCII format. Researchers can u

0 views • 14 slides


Understanding Errors in Radio Astronomy Imaging

Errors in radio astronomy imaging can occur in the uv plane and image plane due to various factors such as measurement errors, calibration imperfections, and approximations made during processing. Different error types like additive, multiplicative, and convolutional errors impact the quality of ast

1 views • 40 slides


Understanding GPU-Accelerated Fast Fourier Transform

Today's lecture delves into the realm of GPU-accelerated Fast Fourier Transform (cuFFT), exploring the frequency content present in signals, Discrete Fourier Transform (DFT) formulations, roots of unity, and an alternative approach for DFT calculation. The lecture showcases the efficiency of GPU-bas

0 views • 40 slides


Environmental Data Analysis with MATLAB or Python 3rd Edition Lecture 2

Learn about data analysis using MATLAB or Python, covering topics such as probability, linear models, Fourier series, filter theory, factor analysis, hypothesis testing, and more. Explore tools for analyzing data and work with temperature data from the Black Rock Forest. Get hands-on experience in u

0 views • 39 slides


Understanding Yukawa Textures and Spectral Data in Computing

Exploring the low energy limit of the Heterotic string, focusing on Yukawa couplings and spectral data in the context of Calabi-Yau threefold and Weierstrass elliptically fibered CY3. The goal involves direct computation of challenging cohomologies and utilizing Fourier-Mukai transform for bundle co

0 views • 17 slides


AOTAsteroidal Occultation Time Analyser: Alternative Tool for Asteroidal Occultation Analysis

Create an alternative tool for analyzing asteroidal occultation light curves independently, focusing on D and R events. The methodology involves integrity checks, fitting test light curves, and applying camera-based corrections. Manual time stamp setting, calculating time stamps, and integrity check

0 views • 26 slides


Understanding Fourier Theory in Seismic Processing

Fourier theory plays a crucial role in seismic processing by helping to avoid temporal and spatial aliasing. It emphasizes the importance of sampling rates for accurate waveform reconstruction and highlights the significance of oversampling to prevent aliasing issues. Spatial aliasing is discussed i

0 views • 18 slides


Comprehensive Overview of Mathematical Methods and Resources

Covering topics such as interpolation, curve fitting, algebraic equations, transcendental equations, numerical differentiation, integration, Fourier series, Fourier transforms, partial differential equations, vector calculus, and finite difference methods. Includes recommended textbooks and referenc

0 views • 150 slides


Understanding Heat Conduction and Transfer in Thermal Systems

Explore the fundamental concepts of heat conduction and transfer, including Fourier's law, steady-state conduction, thermal resistance, multi-layered systems, cylindrical objects, and overall heat transfer coefficients. Discover how to analyze boundary conditions, calculate critical insulation thick

0 views • 20 slides


Understanding Smoothing, Correlation, and Spectra in Environmental Data Analysis

Explore the interrelationships between smoothing, correlation, and power spectral density in environmental data analysis through topics like autocorrelation, cross-correlation, Fourier series, and more. Learn how to apply these concepts using MatLab for effective data analysis.

0 views • 81 slides


Understanding Differential Equations and Boundary Value Problems

Explore the world of Differential Equations (DE) with a focus on Boundary Value Problems, guided by Dennis G. Zill and Michael R. Cullen. Dive into the realm of First Order and Higher Order DE, Partial DE, Laplace Transform, Fourier Series, and more. Unravel the complexities of DE through various se

0 views • 33 slides