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Discrete time lti system - PowerPoint PPT Presentation

Lecture #2

Lecture #2. Introduction to Systems. system. A system is an entity that manipulates one or more signals to accomplish a function, thereby yielding new signals. Example of system. System interconnection. System properties. Causality Linearity Time invariance Invertibility. Causality.

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446 views • 31 slides

Properties of LTI Systems

Properties of LTI Systems. Commutative Property x[n]*h[n]=h[n]*x[n] Distributive Property x[n]*(h 1 [n]+ h 2 [n])= x[n]*h 1 [n]+x[n]* h 2 [n] Associative Property x[n]*(h 1 [n]* h 2 [n])= (x[n]*h 1 [n])* h 2 [n] Memoryless If h[n]=0 for n not equal 0. I.e. h[n]=K d [n].

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Discrete-Time Convolution

Spring 2008. Discrete-Time Convolution. Linear Systems and Signals Lecture 8. Linear Time-Invariant System. Any linear time-invariant system (LTI) system, continuous-time or discrete-time, can be uniquely characterized by its Impulse response : response of system to an impulse

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755 views • 9 slides

Discrete-Time Signals and Systems

Discrete-Time Signals and Systems. Signals. A function, e.g. sin( t ) in continuous-time or sin(2 p n / 10) in discrete-time, useful in analysis A sequence of numbers, e.g. {1,2,3,2,1} which is a sampled triangle function, useful in simulation

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925 views • 8 slides

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Discrete time lti system - PowerPoint PPT Presentation

Lecture #2

Properties of LTI Systems

Discrete-Time Convolution

Discrete-Time Signals and Systems