SPFirst-L08

SPFirst-L08 - © 2003 JH McClellan& RW Schafer 1 Signal...

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Unformatted text preview: 9/14/2003 © 2003, JH McClellan & RW Schafer 1 Signal Processing First Lecture 8 Sampling & Aliasing 9/14/2003 © 2003, JH McClellan & RW Schafer 3 READING ASSIGNMENTS ¡ This Lecture: ¡ Chap 4, Sections 4-1 and 4-2 ¡ Replaces Ch 4 in DSP First, pp. 83-94 ¡ Other Reading: ¡ Recitation: Strobe Demo (Sect 4-3) ¡ Next Lecture: Chap. 4 Sects. 4-4 and 4-5 9/14/2003 © 2003, JH McClellan & RW Schafer 4 LECTURE OBJECTIVES ¡ SAMPLING can cause ALIASING ¡ Sampling Theorem ¡ Sampling Rate > 2(Highest Frequency) ¡ Spectrum for digital signals, x[n] ¡ Normalized Frequency A π π ω ω 2 2 ˆ + = = s s f f T ALIASING 9/14/2003 © 2003, JH McClellan & RW Schafer 5 SYSTEMS Process Signals ¡ PROCESSING GOALS: ¡ Change x(t) into y(t) ¡ For example, more BASS ¡ Improve x(t), e.g., image deblurring ¡ Extract Information from x(t) SYSTEM x(t) y(t) 9/14/2003 © 2003, JH McClellan & RW Schafer 6 System IMPLEMENTATION ¡ DIGITAL/MICROPROCESSOR ¡ Convert x(t) to numbers stored in memory ELECTRONICS x(t) y(t) COMPUTER D-to-A A-to-D x(t) y(t) y[n] x[n] ¡ ANALOG/ELECTRONIC: ¡ Circuits: resistors, capacitors, op-amps 9/14/2003 © 2003, JH McClellan & RW Schafer 7 SAMPLING x(t) ¡ SAMPLING PROCESS ¡ Convert x(t) to numbers x[n] ¡ “n” is an integer; x[n] is a sequence of values ¡ Think of “n” as the storage address in memory ¡ UNIFORM SAMPLING at t = nT s ¡ IDEAL: x[n] = x(nT s ) C-to-D...
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This note was uploaded on 03/03/2010 for the course EE 48976 taught by Professor Nayak during the Spring '10 term at USC.

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SPFirst-L08 - © 2003 JH McClellan& RW Schafer 1 Signal...

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