{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2025-L11su10

2025-L11su10 - 1 1 ECE2025 Summer 2010 Lecture 11 Frequency...

Info iconThis preview shows pages 1–4. 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 Document Right Arrow Icon

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

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

Unformatted text preview: 1 6/16/2010 1 ECE2025 Summer 2010 Lecture 11 Frequency Response of FIR Filters 21 Jun 10 6/16/2010 3 ANNOUNCEMENTS ¡ June 21-22: ¡ Turn in HW #4 ¡ June 23-24: ¡ Turn in Lab #4 ¡ Do Lab #5 6/16/2010 4 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 6/16/2010 5 ∑ = − = M k k n x k h n y ] [ ] [ ] [ Last Class: Convolution Sum ¡ Output = Convolution of x[n] & h[n] Output = Convolution of x[n] & h[n] ¡ NOTATION: ¡ Here is the FIR case: FINITE LIMITS FINITE LIMITS Same as b k ] [ ] [ ] [ n x n h n y ∗ = 2 6/16/2010 6 LTI SYSTEMS ¡ LTI: L inear & T ime- I nvariant ¡ COMPLETELY CHARACTERIZED by: ¡ IMPULSE RESPONSE h[n] ¡ CONVOLUTION : y[n] = x[n]* h[n] ¡ The “rule”defining the system can ALWAYS be re- written as convolution ¡ FIR Example: h[n] is same as b k 6/16/2010 7 FIR Filter “Convolution Reverbs” Waves IR-1 ¡ “Plug-in” for digital audio workstation software 6/16/2010 8 FIR Filter “Convolution Reverbs” Space Designer ¡ Part of Emagic (now Apple) “Logic Pro” digital audio sequencing software 6/16/2010 9 New material 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 3 6/16/2010 10 DOMAINS: Time & Frequency ¡ Time-Domain: “n” = time ¡ x[n] discrete-time signal ¡ x(t) continuous-time signal ¡ Frequency Domain (sum of sinusoids)...
View Full Document

{[ snackBarMessage ]}

Page1 / 9

2025-L11su10 - 1 1 ECE2025 Summer 2010 Lecture 11 Frequency...

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

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