Signals and systems demystified / David McMahonst ed. p. C. Includes index. ISBN (alk. paper). 1. Signal processing-Mathematical models. 2. 2 Signals and Systems: A First Look. System Classifications Discrete- Time Systems in the Time-Domain. .. Course PDF File: Currently Unavailable. Signals & Systems Demystified [David McMahon] on terney.info *FREE* shipping on qualifying offers.
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signals and systems. DeMYSTİFieD. A SELF-TEACHING GUIDE. Master COMMUNICATIONS with details on. MODULATION and the Z-transform. Signals and Systems. Demystified. David McMahon. New York Chicago San Francisco Lisbon London Madrid. Mexico City Milan New Delhi San Juan Seoul. Signal Processing and Linear Systems, B.P. Lathi, CRC Press. • Other books. – Signals and Systems, Richard Baraniuk's lecture notes, available on line.
The term noise usually means an undesirable random disturbance, but is often extended to include unwanted signals conflicting with the desired signal such as crosstalk. The prevention of noise is covered in part under the heading of signal integrity. The separation of desired signals from a background is the field of signal recovery ,  one branch of which is estimation theory , a probabilistic approach to suppressing random disturbances.
Engineering disciplines such as electrical engineering have led the way in the design, study, and implementation of systems involving transmission , storage , and manipulation of information.
In the latter half of the 20th century, electrical engineering itself separated into several disciplines, specialising in the design and analysis of systems that manipulate physical signals; electronic engineering and computer engineering as examples; while design engineering developed to deal with functional design of user—machine interfaces.
Definitions specific to sub-fields are common. For example, in information theory , a signal is a codified message, that is, the sequence of states in a communication channel that encodes a message. In the context of signal processing , signals are analog and digital representations of analog physical quantities. In terms of their spatial distributions, signals may be categorized as point source signals PSSs and distributed source signals DSSs. In a communication system, a transmitter encodes a message to create a signal, which is carried to a receiver by the communications channel.
For example, the words " Mary had a little lamb " might be the message spoken into a telephone. The telephone transmitter converts the sounds into an electrical signal.
The signal is transmitted to the receiving telephone by wires; at the receiver it is reconverted into sounds. In telephone networks, signaling , for example common-channel signaling , refers to phone number and other digital control information rather than the actual voice signal. Signals can be categorized in various ways.
The most common distinction is between discrete and continuous spaces that the functions are defined over, for example discrete and continuous time domains. Discrete-time signals are often referred to as time series in other fields. Continuous-time signals are often referred to as continuous signals. A second important distinction is between discrete-valued and continuous-valued. Particularly in digital signal processing , a digital signal may be defined as a sequence of discrete values, typically associated with an underlying continuous-valued physical process.
In digital electronics , digital signals are the continuous-time waveform signals in a digital system, representing a bit-stream. Another important property of a signal is its entropy or information content. Two main types of signals encountered in practice are analog and digital. The figure shows a digital signal that results from approximating an analog signal by its values at particular time instants.
Digital signals are quantized , while analog signals are continuous.
An analog signal is any continuous signal for which the time varying feature of the signal is a representation of some other time varying quantity, i. For example, in an analog audio signal , the instantaneous voltage of the signal varies continuously with the sound pressure. It differs from a digital signal , in which the continuous quantity is a representation of a sequence of discrete values which can only take on one of a finite number of values.
The term analog signal usually refers to electrical signals ; however, analog signals may use other mediums such as mechanical , pneumatic or hydraulic.
An analog signal uses some property of the medium to convey the signal's information. For example, an aneroid barometer uses rotary position as the signal to convey pressure information.
In an electrical signal, the voltage , current , or frequency of the signal may be varied to represent the information.
Any information may be conveyed by an analog signal; often such a signal is a measured response to changes in physical phenomena, such as sound , light , temperature , position, or pressure. The physical variable is converted to an analog signal by a transducer. For example, in sound recording, fluctuations in air pressure that is to say, sound strike the diaphragm of a microphone which induces corresponding electrical fluctuations. The voltage or the current is said to be an analog of the sound.
A digital signal is a signal that is constructed from a discrete set of waveforms of a physical quantity so as to represent a sequence of discrete values.
Other types of digital signals can represent three-valued logic or higher valued logics. Alternatively, a digital signal may be considered to be the sequence of codes represented by such a physical quantity. Digital signals are present in all digital electronics , notably computing equipment and data transmission. With digital signals, system noise, provided it is not too great, will not affect system operation whereas noise always degrades the operation of analog signals to some degree.
The resulting stream of numbers is stored as digital data on a discrete-time and quantized-amplitude signal. Computers and other digital devices are restricted to discrete time.
One of the fundamental distinctions between different types of signals is between continuous and discrete time. A causal filter uses only previous samples of the input or output signals; while a non-causal filter uses future input samples. A non-causal filter can usually be changed into a causal filter by adding a delay to it.
A time-invariant filter has constant properties over time; other filters such as adaptive filters change in time. A stable filter produces an output that converges to a constant value with time, or remains bounded within a finite interval. An unstable filter can produce an output that grows without bounds, with bounded or even zero input.
A finite impulse response FIR filter uses only the input signals, while an infinite impulse response IIR filter uses both the input signal and previous samples of the output signal. A filter can be represented by a block diagram , which can then be used to derive a sample processing algorithm to implement the filter with hardware instructions. A filter may also be described as a difference equation , a collection of zeros and poles or an impulse response or step response. The output of a linear digital filter to any given input may be calculated by convolving the input signal with the impulse response.
Main article: Frequency domain Signals are converted from time or space domain to the frequency domain usually through use of the Fourier transform. The Fourier transform converts the time or space information to a magnitude and phase component of each frequency. With some applications, how the phase varies with frequency can be a significant consideration. Where phase is unimportant, often the Fourier transform is converted to the power spectrum, which is the magnitude of each frequency component squared.
The most common purpose for analysis of signals in the frequency domain is analysis of signal properties. Write a customer review. Read reviews that mention signals and systems math steps concepts demystified school.
Top Reviews Most recent Top Reviews. There was a problem filtering reviews right now. Please try again later. Paperback Verified download. Needless to say, signals and systems are very relevant to the topic, and if it's been a while since you've done anything with them and find yourself needing to re-smart yourself quick, this book is outstanding.
I managed to knock off the rust, and pull a few things together as well. The math is complete, but the author don't skip steps assuming you know why he did it. You came to be demystified, not told "there's a unifying point to prove here, and we'll leave that to you as an exercise. This isn't as in-depth as books I've seen in the past more explicit textbooks , but if you're using this to get competent so you can do other things, it is simply outstanding. If you've got a solid grasp of calculus it's not for dummies , then you can follow well enough to get the main point.
Kindle Edition Verified download. As an older student going back to graduate school to learn signal and systems, I knew I was getting into trouble.
My biggest problem was just trying to get the Professors or TA's or anyone to walk me through some of the equations, so I could get a feel for the math. Like baby-steps pedantic steps, and for some reason trying to get anyone to do that was nigh impossible. But Signals and Systems Demystified did just that, all the way down to the steps of reminding you a basic calculus and algebra operations.
Stuff, Professors and TAs might take for granted in class, but as an older student it was all I was missing.
To be walked through basic to medium problems to get a feel for the Math again. I admit I have only gone through the first part of the book, and I hope the rest is like that, but just getting those answers helped ease a lot of problems I have been having with the first few weeks of class.
David McMahon has done a great thing by writing a book that takes you through the simplest of steps. Just for a frame of reference, I am an online electronic engineering student and I am nearing the end of multi-year journey towards my bachelors degree with a 3. I was having problems in my digital signal processing class. I was looking for THE book to explain everything to me. This is not that book for me.
In all fairness, I never did find THE book. DSP is a tough subject, you probably won't find a book to give you the "A-ha! As with most DSP books, this one does great at explaining the concepts of the signal, but very poorly explaining the math behind it. This book presents a good amount of material. It also has a good amount of solved problems for each section and usually explains what is going on.
For the price I can't find anything wrong with it. I love the way the information is presented, in a smart and logical order.
Easy understanding. The way he teaches makes it less stressful and fun to read. I'd highly recommend this book. He also has several others that are just as good. I enjoy his technique! Not much better than my text book. Does not cover convolution to a level that was useful.