'Impulse function' diaporamas de présentation

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Hossein Sameti Department of Computer Engineering Sharif University of Technology

CE 40763 Digital Signal Processing Fall 1992 Design of digital FIR filters using the Windowing Technique. Hossein Sameti Department of Computer Engineering Sharif University of Technology. Design of Digital Filters. LTI Systems h(n). FIR. IIR. Determine coefficients of

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Properties of continuous Fourier Transforms

Properties of continuous Fourier Transforms. Fourier Transform Notation. For periodic signal. Fourier Transform can be used for BOTH time and frequency domains. For non-periodic signal. FFT for infinite period. Example: FFT for infinite period. Shown on examples earlier.

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System Solutions

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UNIT STEP FUNCTION

UNIT STEP FUNCTION. Example :. Solution:. Ex: Write the following function in terms of the unit step function. Ex 1 :. Ex 2 :. Ex 3 :. = ?. Proof: L(f(t-a)u(t-a)}=e -as F(s) (1) Let f(t-a)=g(t) then f(t)=g(t+a), put in (1) L{g(t)u(t-a)}=e -as L{g(t+a)}, change from g to f simply

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Image filtering

Image filtering. Hybrid Images, Oliva et al., http://cvcl.mit.edu/hybridimage.htm. Slides from Steve Seitz and Rick Szeliski. Image filtering. Hybrid Images, Oliva et al., http://cvcl.mit.edu/hybridimage.htm. What is an image?. Images as functions.

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Why probability?

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Lecture #06

Lecture #06. Laplace Transform. Eigenfunction. A. LTI system. h(t) is the impulse response of the LTI system According to the convolution:. We define that. We identify as an eigenfunction of the LTI system and H(s) as the corresponding eigenvalue. In which s is a complex frequency.

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Green Coordinates

Green Coordinates. Y. Lipman D. Levin D. Cohen-Or. What for ?. Deforming 2D/3D objects. boundary + inside . Deform. 2D image. 1. How to Deform?. Cage 2D : polygon 3D : polyhedron. Coordinates. Cage based space warping

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Nonsinusoidal Waveforms

Nonsinusoidal Waveforms. Objective of Lecture. Introduce several nonsinusoidal waveforms including Impulse function Step function Ramp function Convolutions Pulse and square waveforms Sawtooth and triangular waveforms

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Applications of Fourier Transform

Applications of Fourier Transform. Outline. Sampling Bandwidth Energy density Power spectral density. Putting Everything Together. Frequency Spectrum of Sampled Data Signal. F( ? ) is replicated at integers of ? S as the result of sampling.

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Objectives: Convolution Definition Graphical Convolution Examples Properties

LECTURE 15: CONVOLUTION FOR CT SYSTEMS. Objectives: Convolution Definition Graphical Convolution Examples Properties Resources: Wiki: Convolution MIT 6.003: Lecture 4 JHU: Convolution Tutorial ISIP: Java Applet. URL:. Representation of CT Signals.

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BASIC CONCEPTS

BASIC CONCEPTS. Signal Waveforms. Continuous/Discontinuous. SINUSOIDS. As function of time. Adimensional plot. RADIANS AND DEGREES. BASIC TRIGONOMETRY. Example. Lags by 315. Leads by 45 degrees. Leads by 225 or lags by 135. Example.

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