2025-L11su09

2025-L11su09 - 1 6/9/2009 2003, JH McClel an &...

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Unformatted text preview: 1 6/9/2009 2003, JH McClel an & RW Schafer 1 ECE2025 Summer 2009 Lecture 11 Frequency Response of FIR Filters 15 Jun 09 6/9/2009 2003, JH McClel an & RW Schafer 3 ANNOUNCEMENTS June 15-16: Turn in HW #4 June 24-25: Turn in Lab #4 Do Lab #5 6/9/2009 2003, JH McClel an & RW Schafer 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 6/9/2009 2003, JH McClel an & RW Schafer 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 6/9/2009 2003, JH McClel an & RW Schafer 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 ruledefining the system can ALWAYS be re- written as convolution FIR Example: h[n] is same as b k 6/9/2009 2003, JH McClel an & RW Schafer 7 FIR Filter Convolution Reverbs Waves IR-1 Plug-in for digital audio workstation software 6/9/2009 2003, JH McClel an & RW Schafer 8 FIR Filter Convolution Reverbs Space Designer Part of Emagic (now Apple) Logic Pro digital audio sequencing software 6/9/2009 2003, JH McClel an & RW Schafer 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 ) ( ) ( ) ( j e H j j j e e H e H = MAG PHASE 3 6/9/2009 2003, JH McClel an & RW Schafer 10 DOMAINS: Time & Frequency Time-Domain: n = time x[n] discrete-time signal x(t) continuous-time signal Frequency Domain (sum of sinusoids)...
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2025-L11su09 - 1 6/9/2009 2003, JH McClel an &...

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