hitchhiker’s guide to signals & systemsnumbat.ucsd.edu/~bob/signals/documents_files/1... ·...
TRANSCRIPT
Hitchhiker’s Guide to Signals & SystemsMost of you are midway through your third year of Engineering
In 18 months you could be a Professional Engineer What do Professional Engineers do?
1. They read email 2. They attend meetings
1
1 Introduction
From: Robert Bitmead [email protected]: Number 5 cyclone
Date: January 9, 2017 at 13:52To: Aaaargh Aaardvark [email protected]
Hey Bob,
Number 5 cyclone is misbehaving and is contaminating the ore in the downstream flocculation tank. Data is attached. Any ideas?We need to get this solved pronto before the wet season arrives.
Thank,Ralph.________________Ralph Obelinchkevinskii,Separation Process Manager,RPP Enterprises, Wagga Wagga Operations+61 2 9556 2323___________________________________
a3ch_pid.mat
Signals & Systems - what and whySignals are real-valued functions indexed by time
For engineers, those signals are usually physically sensed quantities Speed, pressure, humidity, temperature, flow, heart rate
For economists, they might be non-physical quantities Interest rate, unemployment numbers, account value
For psychologists, they might be mixture Opinion scores, confidence, satisfaction, waiting times
Systems are devices, processes or algorithms which operate on an input signal u(t) to produce an output signal y(t) The relationship between input and output signals can often tell us
about the state of a system Neeraj’s demonstration of MiP signals
input signal - duty-cycle of pulse-width-modulated ±6V applied to the motors
output signals - body angle, wheel angle, body angular velocity Big Data, Artificial Intelligence, Smart Cities/Grids/Cars, …
Analysis and interpretation of signals2
1 Introduction
MiP sensors and actuators
3
1 Introduction
DC Servomotor
H-bridge PWM motor controller
Inertial Measurement Unit
(Northern) Winter 2017 - MAE143A Signals & SystemsWebsite: http://numbat.ucsd.edu/~bob/signals Dates and time:
Tuesday, Thursday 15:30-16:50 Ledden Auditorium, lectures Friday 12:00-12:50 Pepper Canyon 109, TA-run 4th hour Monday 10:00-11:30 EBU2 105 TA office hours Wednesday 08:30-10:00 Prof, 15:00-16:30 TA EBU2 105 Tuesday March 21 15:00-18:00 final exam
People: Professor Bob Bitmead, [email protected], Jacobs Hall 1609,
+1 858 822 3477 Behrooz Amini, [email protected], Jacobs Hall 2103A Martin Sehr, [email protected], Jacobs Hall 2103A Eric Sihite, [email protected], Jacobs Hall 2114 You can make appointments with any of us
4
1 Introduction
Schedule for Winter Quarter 2017
5
1 Introduction
2017 Classes, breaks, homeworks, midterms, final, holidays, daylight savings
Week Tuesday Thursday Friday 1 Jan 10 Jan 12 Jan 13 2 Jan 17 Jan 19 H1 Jan 20 3 Jan 24 Jan 26 H2 Jan 27 4 Jan 31 Feb 2 H3, M1 Feb 3 5 Feb 7 Feb 9 H4 Feb 10 6 Feb 14 Feb 16 H5 Feb 17 7 Feb 21 Feb 23 H6 Feb 24 8 Feb 28 M2 Mar 2 H7 Mar 3 9 Mar 7 Mar 9 H8 Mar 10 10 Mar 14 Mar 16 H9 Mar 17
Mar 21 Final
2 Jan 16 MLKJ 7 Feb 20 Pres 10 Mar 12 DST
Grading, Homework, Midterms, FinalGrading
the two numbers are almost always the same
Passing with flying colors attend class, do the homework, use resources
seek assistance early and often when needed do the homework and matlab yourself
look at the solutions provided on the website explain what you are doing
We do not grade to a curve We grade on demonstrated competence as revealed by the scores
6
1 Introduction
your score = max {0.5⇥ final + 0.3⇥midterm + 0.2⇥ homework, final}
Prerequisites and expectationsMath 20D - Introduction to Ordinary Differential Equations
ODE solutions, Laplace transforms, complex numbers Math 20E - Vector Calculus
Taylor’s expansion Math 20F - Linear Algebra
Matrices, vectors MAE105 Introduction to Mathematical Physics
Fourier Series, integral transforms
We will build on these concepts, techniques and ideas. A good number of examples
but many new ideas Start thinking like Engineers
7
1 Introduction
Homeworks, midterms, assistanceWe shall have nine weekly homeworks due at end of class - posted on web
These will be graded, at least in part Solutions will be posted on the website … read them
We shall have two midterms These have a distinctive style - lots of reading and interpretation
There are many old versions posted on earlier websites 75 minutes in class
Final on March 21; three hours probably in Center Hall 119
Friday noon sessions - run by TAs to aid with homework examples
Office hours - your chance to ask questions If you have a question, then almost certainly other students have to
same question … and vice versa
8
1 Introduction
The Text BookFawwaz T. Ulaby and Andrew E. Yagle
Second Edition Engineering Signals & Systems in continuous and discrete time
I shall use this book to source the homework and the lecture material
There are very many other good books on Signals and Systems
Chapparo, Roberts, Haykin & Van Veen, … Feel free to use any of them
The Schaum Outline is also good, cheap and contains many worked examples
The text book should be available on closed reserve at the library
9
1 Introduction
A Rough Planned Schedule for 2017Signals and transforms in continuous and discrete time (1 week)
U&N Chapters 1 (Signals), 3 (Laplace transform), 7 (Discrete-time signals); Appendices B (Complex numbers), D (MATLAB)
Linear time-invariant continuous-time systems (2.5 weeks) U&N Chapters 2 and 3
Sampling (1 week) U&N Chapter 6
Linear time-invariant discrete-time systems (2.5 weeks) U&N Chapters 7 & 8
Sinusoidal response and frequency response (2 weeks)
Equivalent representations and Figure 3.5, (U&N p.115) summary of what we need to understand
continuous-time, discrete-time signal-based analysis via Matlab
10
1 Introduction