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Lesson 01-Introduction - Lesson 01 Introduction to Digital...

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Lesson 01 Lesson 01: Introduction to Digital Signal Processing (DSP) What’s it all about? Origins of DSP Signal and System domains Continuous-time – Discrete-time – Digital DSP advantages and disadvantages Motivational examples No Challenge Problem Introduction to MATLAB Project 1
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Lesson 01 TA Consultation Times 11 am - 12:00 pm, Monday. Location: Building RLA, Room 404A. (Reed lab) 11 am - 12:00 pm, Thursday. Location: Building NEB, Room 436 1:30pm - 2:30 pm, Thursday. Location: Building NEB, Room 436 Also posted on course home page
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Lesson 01 Origins of DSP Pre-digital – Amazing 25 W humans, mechanical, optical, and analog systems (remember, man was put on the moon by an analog slide rule, not a digital computer). Transitional - Claude Shannon and Harry Nyquist. (1928/1949) DSP dawn – Colley-Tukey FFT (1965) DSP era – Intel 2920 (1980)
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Lesson 01 Origins of DSP Intel 2920 Analog Signal Processor Analog???
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Lesson 01 Origins of DSP
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Lesson 01 Signal Domains 1-D 2-D M-D JPEG compressed image Lena
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Lesson 01 Signal Domains Continuous-time signals Infinite resolution in time and amplitude Continuous-time causal system (output follows input) Continuous-time non-causal system (prophetic) Is x(t) = cos( ϖ 0 t) a causal on non-causal signal? x(t)
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Lesson 01 Signal Domains Discrete-time Infinite resolution in amplitude Discrete resolution in time Requires an ideal sampler. Examples: Sample data control systems, economic systems, biological models, … - . f s Sample and Hold Circuit x ( t ) x [ k ] Continuous-time to discret-time conversion.
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Lesson 01 Signal Domains Discrete-time signal example: Dow Jones Average Note: Digital signal if quantized to the penny.
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Lesson 01 Signal Domains Digital Signals Discrete resolution in both amplitude and time Requires an ADC - . f s Sample and Hold Circuit x ( t ) x [ k ] ADC Quantizer Continuous-time to discret-time conversion.
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Lesson 01 Signal Domains 0 100 200 300 400 500 600 700 800 900 1000 4 3 2 1 0 1 2 3 0 100 200 300 400 500 600 700 800 900 1000 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0 100 200 300 400 500 600 700 800 900 1000 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 Continuous-time (analog) signal x(t) Discrete- time signal Quantized (digital) signal x Q [k] Q 0 -Q Sampled Quantize Signal Taxonomy
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Lesson 01 Elementary Signals Examples of MATLAB constructs supplied discrete-time signals: Impulse Step function Ramp function Exponential (real and complex)
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Lesson 01 Elementary Signals Sinusoidal (damped and undamped) Random (uniform and normal) Chirp (linearly swept FM)
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