'Rectangular pulse' diaporamas de présentation

Chapter 4 The Fourier Series and Fourier Transform

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Chapter 5 Frequency Domain Analysis of Systems

Chapter 5 Frequency Domain Analysis of Systems. CT, LTI Systems. Consider the following CT LTI system: Assumption: the impulse response h ( t ) is absolutely integrable, i.e.,. (this has to do with system stability (ECE 352)). Response of a CT, LTI System to a Sinusoidal Input.

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Signals & systems Ch.3 Fourier Transform of Signals and LTI System

Signals & systems Ch.3 Fourier Transform of Signals and LTI System. Signals and systems in the Frequency domain. Fourier transform. Time [sec]. Frequency [sec -1 , Hz]. 3.1 Introduction. Orthogonal vector => orthonomal vector What is meaning of magnitude of H?.

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Chapter 5 Frequency Domain Analysis of Systems

Chapter 5 Frequency Domain Analysis of Systems. CT, LTI Systems. Consider the following CT LTI system: Assumption: the impulse response h ( t ) is absolutely integrable, i.e.,. (this has to do with system stability ). Response of a CT, LTI System to a Sinusoidal Input.

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Chapter 4 The Fourier Series and Fourier Transform

Chapter 4 The Fourier Series and Fourier Transform. Fourier Series Representation of Periodic Signals. Let x ( t ) be a CT periodic signal with period T, i.e., Example: the rectangular pulse train. The Fourier Series. Then, x ( t ) can be expressed as

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Chapter 4 The Fourier Series and Fourier Transform

Chapter 4 The Fourier Series and Fourier Transform. Fourier Series Representation of Periodic Signals. Let x ( t ) be a CT periodic signal with period T, i.e., Example: the rectangular pulse train. The Fourier Series. Then, x ( t ) can be expressed as

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Introduction

1. CHAPTER. Introduction. B and a are real parameters. 1.6 Elementary Signals. ? 1.6.1 Exponential Signals. (1.31). Decaying exponential, for which a < 0 Growing exponential, for which a > 0.

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Signal Operations

Signal Operations. Basic Operation of the Signals. 1.3.1. Time Shifting 1.3.2 Reflection and Folding. 1.3.3. Time Scaling 1.3.4 Precedence Rule for Time Shifting and Time Scaling. Time Shifting.

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Chapter 5 Laplace Transform 5.1 Introduction

The Laplace transform is an example of an integral transform, namely, a relation of the form. Chapter 5 Laplace Transform 5.1 Introduction. (1). which transforms a given function f(t) into another function F(s); K(t,s) is called the kernel of the transform, and F(s)

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Signal and Systems Prof. H. Sameti

Signal and Systems Prof. H. Sameti. Chapter 8: Complex Exponential Amplitude Modulation Sinusoidal AM Demodulation of Sinusoidal AM Single-Sideband (SSB) AM Frequency-Division Multiplexing Superheterodyne Receivers AM with an Arbitrary Periodic Carrier

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A-A+

F. C-C+. B-B+. A-A+. Week 11. Chapter 10 Fourier Transforms The Four Fourier transforms CTFT DTFT FS DFT/S Relationships Important properties. The Four Fourier transforms The signal spaces The transform definitions Relationships Important properties. The 4 Signal Spaces.

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Signals and Systems (Lab) Resource Person : Hafiz Muhammad Ijaz

Signals and Systems (Lab) Resource Person : Hafiz Muhammad Ijaz

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Chapter 5

ERT 210/4 Process Control & Dynamics. DYNAMIC BEHAVIOR OF PROCESSES : Dynamic Behavior of First-order and Second-order Processes. Chapter 5. COURSE OUTCOME 1 CO1) 1. Theoretical Models of Chemical Processes 2. Laplace Transform 3. Transfer Function Models

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Examples of Convolution

Examples of Convolution. 3.2. Graphical Examples. Impulse Response of an Integrator circuit due to the unit impulse function Response of an integrator due to a unit step function Response of an Integrator circuit due to the unit ramp input

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Discrete-time Fourier Transform

Discrete-time Fourier Transform. Prof. Siripong Potisuk. Derivation of the Discrete-time Fourier Transform. DTFT Pair. Conditions for Convergence. Examples. Example 1: 1 st Order System, Decay Power. stable system. Calculate the DT Fourier transform of the signal: Therefore:. a =0.8.

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DFT, IDFT, RRC filter, timing synchronization, and carrier phase tracking

DFT, IDFT, RRC filter, timing synchronization, and carrier phase tracking. The DFT of a rectangular pulse. Consider a rectangular pulse: x[n]=1 for 0<=n <= m-1 and 0 at all other places What is the DFT of it? Its magnitude is called the sinc function.

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Simplification using the differential

Simplification using the differential. If Then Therefore. Example. Rectangular pulse ( ?(t)). Inverse transforms: V( ?) v(t). Reverse transform convert a spectrum to the pulse which contains it. Example: low-pass filter. Example:. What spectrum does a sinc-shaped pulse have?.

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