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FOURIER SERIES

FOURIER SERIES

FOURIER SERIES. A function f(x) is said to be periodic with period T if f( x+ T )=f(x) ? x , where T is a positive constant . The least value of T>0 is called the period of f(x). PERIODIC FUNCTIONS. f(x+2T) =f (( x+T )+T) =f ( x+T )=f(x) f( x+nT )=f(x) for all x

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11.78k views • 81 slides
FOURIER SERIES

FOURIER SERIES

FOURIER SERIES. A function f(x) is said to be periodic with period T if f( x+ T )=f(x) ? x , where T is a positive constant . The least value of T>0 is called the period of f(x). PERIODIC FUNCTIONS. f(x+2T) =f (( x+T )+T) =f ( x+T )=f(x) f( x+nT )=f(x) for all x

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1.07k views • 81 slides
Randomly Modulated Periodic Signals

Randomly Modulated Periodic Signals

Randomly Modulated Periodic Signals. Melvin J. Hinich. Applied Research Laboratories University of Texas at Austin. hinich@austin.utexas.edu. http://web.austin.utexas.edu/hinich/. Rotating Cylinder Data. Cat Brain EEG Seizure. Daily Sunspots. Hourly Alberta Electricity Demand.

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629 views • 52 slides
Nonsinusoidal Circuits

Nonsinusoidal Circuits

Nonsinusoidal Circuits. OBJECTIVES. Become familiar with the components of the Fourier series expansion for any sinusoidal or nonsinusoidal function. Understand how the appearance and time axis plot of a waveform can identify which terms of a Fourier series will be present.

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648 views • 32 slides
Lecture 1 Signals in the Time and Frequency Domains

Lecture 1 Signals in the Time and Frequency Domains

Lecture 1 Signals in the Time and Frequency Domains. 1. Introduction 2. Periodic Signals 3. Fourier Series Expansion of Periodic Signals 4. Spectral Representation of Periodic Signals 5. Duty Cycle of a Rectangular Wave 6. RMS Voltage and Power Spectrum of Aperiodic Signals

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459 views • 21 slides
12.1 The Dirichlet conditions:

12.1 The Dirichlet conditions:

Chapter 12 Fourier series. Advantages: describes functions that are not everywhere continuous and/or differentiable. represent the response of a system to a period input and depend on the frequency of the input

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2.11k views • 13 slides

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