'Lti system' presentation slideshows

1.29k views • 114 slides

Lecture 1: February 20, 2007

Lecture 1: February 20, 2007. Topic:. 1. Discrete-Time Signals and Systems. Lecture 1: February 20, 2007. Topic:. 1. Discrete-Time Signals and Systems. signal classification -> signals to be applied in digital filter theory within our course, some elementary discrete-time signals,

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ECE 352 Systems II

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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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Time-Domain Representations of LTI Systems

2. CHAPTER. Time-Domain Representations of LTI Systems. 2.1 Introduction. Objectives: Impulse responses of LTI systems Linear constant-coefficients differential or difference equations of LTI systems Block diagram representations of LTI systems State-variable descriptions for LTI systems.

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Lecture 4: Frequency domain representation, DTFT, IDTFT, DFT, IDFT

Lecture 4: Frequency domain representation, DTFT, IDTFT, DFT, IDFT. Instructor: Dr. Gleb V. Tcheslavski Contact: gleb@ee.lamar.edu Office Hours: Room 2030 Class web site: http://ee.lamar.edu/gleb/dsp/index.htm. Some history.

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Infinite Impulse Response Filters

Infinite Impulse Response Filters. Outline. Many roles for filters Two IIR filter structures Biquad structure Direct form implementations Stability Z and Laplace transforms Cascade of biquads Analog and digital IIR filters Quality factors Conclusion. Many Roles for Filters.

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Infinite Impulse Response Filters

Infinite Impulse Response Filters. Outline. Many roles for filters Two IIR filter structures Biquad structure Direct form implementations Stability Z and Laplace transforms Cascade of biquads Analog and digital IIR filters Quality factors Conclusion. Many Roles for Filters.

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Z Transform (1)

Z Transform (1). Hany Ferdinando Dept. of Electrical Eng. Petra Christian University. Overview. Introduction Basic calculation RoC Inverse Z Transform Properties of Z transform Exercise. Introduction. For discrete-time, we have not only Fourier analysis, but also Z transform

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Practical Signal Processing Concepts and Algorithms using MATLAB

Practical Signal Processing Concepts and Algorithms using MATLAB. LTI Systems. Section Outline. LTI system representations The z-Transform Frequency and impulse response Introduction to filtering. Linear Time-Independent Systems. x(n). y(n). ? (n). h(n).

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Review of Frequency Domain

Today we will review: Fourier series why we use it trig form & exponential form how to get coefficients for each form Eigenfunctions what they are how they relate to LTI systems how they relate to Fourier series. Frequency response what it represents why we use it how to find it

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Signals and Systems Revision Lecture 1

Signals and Systems Revision Lecture 1. DR TANIA STATHAKI READER (ASSOCIATE PROFESSOR ) IN SIGNAL PROCESSING IMPERIAL COLLEGE LONDON. Exam structure. The Signal and Systems exam comprises of 3 questions.

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Lecture 07 Analysis (III) -- Stability

Lecture 07 Analysis (III) -- Stability. 7.1 Bounded-Input Bounded-Output (BIBO) Stability 7.2 Asymptotic Stability 7.3 Lyapunov Stability 7.4 L inear Approximation of a Nonlinear System. Bounded-Input Bounded-Output (BIBO) stablility. Definition: For any constant N , M >0 .

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Convolution

Convolution. A mathematical operator which computes the pointwise overlap between two functions. Discrete domain: Continuous domain: . Discrete domain. Basic steps Flip (reverse) one of the functions. Shift it along the time axis by one sample.

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Lecture 4: Linear Systems and Convolution

Lecture 4: Linear Systems and Convolution. 2. Linear systems, Convolution (3 lectures): Impulse response, input signals as continuum of impulses. Convolution, discrete-time and continuous-time. LTI systems and convolution Specific objectives for today:

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Lecture 17: Continuous-Time Transfer Functions

Lecture 17: Continuous-Time Transfer Functions. 6 Transfer Function of Continuous-Time Systems (3 lectures): Transfer function, frequency response, Bode diagram . Physical realisability, stability. Poles and zeros, rubber sheet analogy. Specific objectives for today:

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Discrete-Time Convolution

Discrete-Time Convolution. Discrete-time Convolution. Output y [ n ] for input x [ n ] Any signal can be decomposed into sum of discrete impulses Apply linearity properties of homogeneity then additivity Apply shift-invariance Apply change of variables. y [ n ]. x [ n ]. System.

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Discrete-Time Convolution

Discrete-Time Convolution. Discrete-time Convolution. Output y [ n ] for input x [ n ] Any signal can be decomposed into sum of discrete impulses Apply linearity properties of homogeneity then additivity Apply shift-invariance Apply change of variables. y [ n ]. x [ n ]. System.

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Sampling and Reconstruction

Sampling and Reconstruction. Last time we Viewed aperiodic functions in terms of frequency components via Fourier transform Gained insight into the meaning of Fourier transform through comparison with Fourier series

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Lecture 5: Linear Systems and Convolution

Lecture 5: Linear Systems and Convolution. 2. Linear systems, Convolution (3 lectures): Impulse response, input signals as continuum of impulses. Convolution , discrete-time and continuous-time . LTI systems and convolution Specific objectives for today:

679 views • 12 slides