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Unformatted text preview: 1 6/7/2010 1 ECE2025 Summer 2010 Lecture 8 D-to-A (D/C) Conversion Reconstruction from Samples 9 Jun 10 6/7/2010 3 ANNOUNCEMENTS 9-10 June: Turn in Lab 2 Do lab 3 HW 3 due 14-15 June 16-17 June: Turn in Lab 3 Do Lab 4 6/7/2010 4 FIRST QUIZ Quiz #1, in lecture, Friday, June 11 10% of final grade You can use the full 1:20-2:30 time Review session 6 pm June 10 across from lab. Coverage: HW #1 and #2 Lectures #1 through #5 (no Fourier series) Might have to read some MATLAB code (wont need to write any) Closed book, closed notes, except: One 8.5X11 crib sheet allowed, handwritten , OK to write on both sides 6/7/2010 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 6/7/2010 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] 6/7/2010 7 SAMPLING x(t) UNIFORM SAMPLING at t = nT s IDEAL: x[n] = x(nT s ) C-to-D x(t) x[n] 6/7/2010 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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