{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2025-L12

# 2025-L12 - DCONVDEMO ECE-2025 Fall-2008 Lecture 12...

This preview shows pages 1–4. Sign up to view the full content.

ECE-2025 Fall-2008 Lecture 12 Frequency Response of FIR 3-Oct-08 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 2 DCONVDEMO 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 3 READING ASSIGNMENTS This Lecture: Chapter 6, Sections 6-1, 6-2, 6-3, 6-4, & 6-5 Other Reading: Recitation: Chapter 6 FREQUENCY RESPONSE EXAMPLES Next Lecture: Chap. 6, Sects. 6-6, 6-7 & 6-8 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 4 LECTURE OBJECTIVES SINUSOIDAL INPUT SIGNAL DETERMINE the FIR FILTER OUTPUT FREQUENCY RESPONSE of FIR PLOTTING vs. Frequency MAGNITUDE vs. Freq PHASE vs. Freq ) ( ˆ ˆ ˆ ) ( ) ( ω ω ω j e H j j j e e H e H = MAG PHASE

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

View Full Document
09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 5 DOMAINS: Time & Frequency Time-Domain: n ” = time x [ n ] discrete-time signal x ( t ) continuous-time signal Frequency Domain (sum of sinusoids) Spectrum vs. f (Hz) ANALOG vs. DIGITAL Spectrum vs. omega-hat Move back and forth QUICKLY ω ˆ 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 6 DIGITAL “FILTERING” CONCENTRATE on the SPECTRUM SPECTRUM SINUSOIDAL INPUT INPUT x[n] = SUM of SINUSOIDS Then, OUTPUT y[n] = SUM of SINUSOIDS FILTER D-to-A A-to-D x(t) y(t) y [ n ] x [ n ] ω ˆ ω ˆ 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 7 FILTERING EXAMPLE 7-point AVERAGER Removes cosine By making its amplitude (A) smaller 3-point AVERAGER Changes A slightly ( ) = = 6 0 7 1 7 ] [ ] [ k k n x n y ( ) = = 2 0 3 1 3 ] [ ] [ k k n x n y 09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 8 3-pt AVG EXAMPLE USE PAST VALUES 40 0 for ) 4 / 8 / 2 cos( ) 02 . 1 ( ] [ : Input + + = n n n x n π π Not much difference
09/30/2008 ECE-2025 Fall-2008 jMc-BHJ 7-pt FIR EXAMPLE (AVG)

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

2025-L12 - DCONVDEMO ECE-2025 Fall-2008 Lecture 12...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online