SP 2005 CH 3 DT Convolution

SP 2005 CH 3 DT Convolution - EE 3120 Chapter 3 Time Domain...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EE 3120 Chapter 3 Time Domain Analysis of Discrete-Time Systems Discrete-Time Convolution Discrete Convolution Gives the zero state response Also called the input-output description Applicable to ANY LTI system that is also causal and initially relaxed at n = 0 (no initial conditions) Also can be written [ ] [ ] [ ] [ ] [ ] i y n x i h n i x n h n = =- = [0] [0] [0] [1] [0] [1] [1] [0] [2] [0] [2] [1] [1] [2] [0] y x h y x h x h y x h x h x h = = + = + + . . . Executing a D-T Convolution Three common ways of calculating a DT convolution by hand: Each method requires knowledge of the input and the impulse response. Mathematical Tabular Graphical Mathematical: [ ] [ ] [ ] n i y n x i h n i = =- Tabular method: [ ] {1,2,3,4, 1,...} [ ] { 1,1, 3,2...} h n x n =- = -- [ ] h n [ ] x n-1 1-3 2 . . . 1 2 3 4 -1-1 -2 -3 -4 1 1 2 3 4 -1-3 -6 -9 -12 3 2 4 6 8 -2 [0] y [1] y [2] y [3]... y [0] 1 y = - [1] 1 2 1 y = - = - [2] 3 2 3 4 y = - +- = - [3] 2 6 3 4 5 . . . y =- +- = - [ ] { 1, 1, 4, 5,...} y n = ---- Fill in table using multiplication: Execute addition on angles: We can only calculate the first 4 values of this convolution accurately, why?...
View Full Document

This note was uploaded on 02/06/2012 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

Page1 / 16

SP 2005 CH 3 DT Convolution - EE 3120 Chapter 3 Time Domain...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online