2025-L08su09

2025-L08su09 - 1 1 ECE2025 Summer 2009 Lecture 8 D-to-A(D/C...

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Unformatted text preview: 1 6/2/2009 1 ECE2025 Summer 2009 Lecture 8 D-to-A (D/C) Conversion Reconstruction from Samples 3 Jun 09 6/2/2009 3 ANNOUNCEMENTS ¡ 3-4 June: ¡ Turn in Lab 2 ¡ Do lab 3 ¡ HW 3 due 8-9 June ¡ 10-11 June: ¡ Turn in Lab 3 ¡ Do Lab 4 6/2/2009 4 FIRST QUIZ ¡ Quiz #1, in lecture, Friday, June 5 ¡ 10% of final grade ¡ You can use the full 1:20-2:30 time ¡ Review session 6 pm June 4, in lab (Klaus 2440) ¡ Coverage: ¡ HW #1 and #2 ¡ Lectures #1 through #5 (no Fourier series) ¡ Might have to read some MATLAB code (won’t need to write any) ¡ Closed book, closed notes, except: ¡ One 8.5”X11” crib sheet allowed, handwritten , OK to write on both sides 6/2/2009 5 LECTURE OBJECTIVES ¡ FOLDING: a type of ALIASING ¡ DIGITAL-to-ANALOG CONVERSION is ¡ Reconstruction from samples ¡ SAMPLING THEOREM applies ¡ Smooth Interpolation ¡ Mathematical Model of D-to-A ¡ SUM of SHIFTED PULSES ¡ Linear Interpolation example 2 6/2/2009 6 ¡ A-to-D ¡ Convert x(t) to numbers stored in memory ¡ D-to-A ¡ Convert y[n] back to a “continuous-time” signal, y(t) ¡ y[n] is called a “ discrete-time ” signal SIGNAL TYPES COMPUTER D-to-A A-to-D x(t) y(t) y[n] x[n] 6/2/2009 7 SAMPLING x(t) ¡ UNIFORM SAMPLING at t = nT s ¡ IDEAL: x[n] = x(nT s ) C-to-D x(t) x[n] 6/2/2009 8 NYQUIST RATE ¡ “Nyquist Rate” Sampling ¡ f s > TWICE the HIGHEST Frequency in x(t) ¡ “Sampling above the Nyquist rate” ¡ BANDLIMITED SIGNALS ¡...
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2025-L08su09 - 1 1 ECE2025 Summer 2009 Lecture 8 D-to-A(D/C...

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