2025-L09 - Lab & HW Info ECE-2025 Fall-2008 Lab #5 will...

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ECE-2025 Fall-2008 Lecture 9 22-Sept-2008 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 2 ± Lab #5 will be Formal Lab Report, worth 150 pts ± Listening Test at the beginning of Lab #6 ± Honor Code !!! ± Don’t exchange anything written or any electronic files 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 3 SAMPLING GUI (con2dis) 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 4 READING ASSIGNMENTS ± This Lecture: ± Chapter 4: Sections 4-4, 4-5 ± Other Reading: ± Recitation: Section 4-3 ± Next Lecture: Chapter 5 (beginning)
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09/30/2008 EE-2025 Fall-2008 jMc-BHJ 5 LECTURE OBJECTIVES ± Frequency Aliasing ± DIGITAL-to-ANALOG CONVERSION ± Reconstruction from samples ± SAMPLING THEOREM applies ± Smooth Interpolation ± Mathematical Model of D-to-A ± SUM of SHIFTED PULSES ± Linear Interpolation example 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 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] 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 7 An Analog-to-Digital (A-to-D) device converts a continuous waveform (both in time and value) to a sequence of discrete numbers; we do not discuss quantization in 2025. Quantization ) ( ] [ nT x n x = ] [ n x Sampler Quantizer ) ( t x Continuous time waveform Discrete time sequence Finite precision sequence ] [ n x ) ( t x s f T / 1 = Aaaa A 16-bit representation has 32768x2 values. ] [ n x Repetitive switch Amplitude measurement 09/30/2008 EE-2025 Fall-2008 jMc-BHJ 8 SAMPLING x(t) ± UNIFORM SAMPLING at t = nT s ± IDEAL: x[n] = x(nT s ) C-to-D x ( t ) x [ n ] Analog-to-digital (A-to-D) conversion conventionally includes “quantization” which is not addressed in C-to-D.
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2025-L09 - Lab & HW Info ECE-2025 Fall-2008 Lab #5 will...

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