SPFirst-L08

SPFirst-L08 - 9/14/2003 2003, JH McClellan & RW...

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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 2 2 + = = 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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SPFirst-L08 - 9/14/2003 2003, JH McClellan & RW...

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