Shannon-Hartley theorem

Shannon-Hartley theorem - Factbites
Where results make sense
About us | Why use us? | Reviews | PR | Contact us

Topic: Shannon-Hartley theorem

Note: these results are not from the primary (high quality) database.

	Search Encyclopedia.com
		theorem theorem, in mathematics and logic, statement in words or symbols that can be established by means of deductive logic; it differs from an axiom in that a proof is required for its acceptance.
		Shannon Shannon, principal river of the Republic of Ireland and longest (c.240 mi/390 km) in the British Isles.
		A lemma is a theorem that is demonstrated as an intermediate step in the proof of another, more basic theorem.
	www.encyclopedia.com /searchpool.asp?target=Shannon-Hartley+theorem

	Talk:Shannon-Hartley theorem - Wikipedia, the free encyclopedia
		Shannon's theorem is a formula for the maximal rate at which you can send information down a pipe if you know the bandwidth and the signal-to-noise ratio.
		I don't think this is Shannon's theorem; it is simply his definition of informational entropy (= expected amount of information).
		In we were giving the full derivation of the S-H theorem this is an important and non-trivial milestone on the way to the full proof and we would definitely want to include it (as do professors when giving an extended talks on the topic).
	www.wikipedia.org /wiki/Talk:Shannon-Hartley_theorem

	uniform convergence theorem
		Theorem 2: Let {fn} be an equicontinuous sequence of...
		Theorem 1: Let {fn} be an equicontinuous sequence of...
		Uniform convergence theorem In the field of mathematics, there are many theorems labeled " uniform convergence." Here we list a few of them.
	www.wikisearch.net /uniform+convergence+theorem

	Encyclopedia: Bandwidth
		In information theory, the Shannon-Hartley theorem states the maximum amount of error-free digital data (that is, information) that can be transmitted over a communication link with a specified bandwidth in the presence of noise interference.
		Mathematically, the maximum digital bit rate for a given analog bandwidth and noise level is determined by the Shannon-Hartley theorem.
		In discrete time systems and digital signal processing, bandwidth is related to sampling rate according to the Nyquist-Shannon sampling theorem.
	www.nationmaster.com /encyclopedia/Bandwidth

	Channel capacity
		Shannon's channel coding theorem applies to the channel, not to the source.
		One of the most famous of all results of information theory is Shannon's channel coding theorem.
		In fact, all we may deduce from the proof of the theorem is that it must be a long one.
	www.cs.ucl.ac.uk /staff/S.Bhatti/D51-notes/node31.html

	Modem Overview
		This is based upon the Shannon/Hartley Theorem which (as simply as possible) uses an equation taking into account available bandwidth and the signal to noise ratio of the current phone network.
		You may now hear about 56K analog modems and wonder how those are able to work given this theorem.
		The cable network runs over coaxial cable and can have data throughput of about 10 MB/S. With the copper based analog phone network, 28.8K/33.6K modems are pushing the theoretical limits of data transmission speeds.
	www.cornhusker.net /html/modem_overview.html

	School of Computing Sciences (CMP)
		To appreciate the fundamental significance and a simple derivation of the Shannon-Hartley theorem, and to appreciate how bandwidth can be traded for signal-to-noise ratio in communications systems
		Shannon's theorems now provide the basis for the design of state-of-the-art communication equipment as well as having applications in many other areas.
		In the 1940s Shannon did make a mathematical definition and used it to develop a mathematical theory of information.
	www.cmp.uea.ac.uk /web/teaching/showunit.jsp?academicyear=2003&id=cmps3c12

	FPGA FAQ comp.arch.fpga archives - messages from 31050
		The theorem does not concern itself with the actual rate of the encoded symbols in the channel or even their format, but rather their power vs. bandwidth and the power and bandwidth of the noise.
		For that, I really do apologize: Shannon really did a great job explaining it, and I feel that maybe the best thing to do is read his paper, and then go build something to prove it to yourself.
		For that, I really do apologize:andnbsp; Shannon really did a great job explaining it, and I feel that maybe the best thing to do is read his paper, and then go build something to prove it to yourself.andnbsp; My learning experience was a 16QAM modem with BCH coding.
	www.fpga-faq.org /archives/31050.html

	information.ca - Channel Capacity Theorem
		Level 1 theory uses Shannon's channel capacity theorem to explain how these biological molecules are able to make their decisions precisely in...
		One of the most famous of all results of information theory is Shannon's channel coding theorem.
		...the Shannon capacity of a channel, the capacity theorem, rates and power, spectral efficiency, power efficiency, capacity theorem for additive...
	www.information.ca /Channel-Capacity-Theorem/web/search

	Shannon's law - Art History Online Reference and Guide
		In Arizona, Shannon's law is a law that was established after the 1999 death of teenager Shannon Smith, to punish those who take gunshots to the air, risking the lives of others.
		In information theory, Shannon's law is any statement defining the theoretical maximum rate at which error -free digits can be transmitted over a bandwidth -limited channel in the presence of noise.
		Shannon's law - Your Art History Reference Guide!
	www.arthistoryclub.com /art_history/Shannon%27s_law

	Information theory Syllabus PX214
		Shannons noisy coding theorem, and how to be a good liar.
		Convolution and the convolution theorem, impulse response and the transfer functions of a filter.
		It should also convey the universality and power of some key theorems due to
	physweb.spec.warwick.ac.uk /teach/syllabi/year2/px214.html

	CommsDesign - Getting Back Lost Link Bandwidth: Part 1
		For this we go to the Shannon-Hartley Theorem, which gives the designer a way to determine the amount of information that can be transferred based on signal to noise ratios.
		In a noisy environment, The Shannon Limit governs the information rate by relating the information rate to the RMS signal to noise ratio and the baseband frequency, irrespective of the number of signaling levels.
		For any discussion of bandwidth of a single channel, it is important to understand what the maximum channel capacity limit is given the number of signaling levels and the amount of noise in the system.
	www.commsdesign.com /design_corner/OEG20031022S0037

	Catalogues 2002/03 - Department of Electronic & Electrical Engineering - Units
		Noise and error probability, the Shannon-Hartley theorem, SNR bandwidth trade-off, BER and error control.
		Review: sampling theorem and aliasing distortion, spectra and spectral descriptions.Digital spectral analysis: principles of DFT and FFT, effect of finite time window, spectral leakage and its reduction with prescribed windows.
		Signal Processing: Analogue signals and the Fourier transform, linear filtering in the time and frequency domain, sampled signals and aliasing, the discrete Fourier transform, digital filtering in the time and frequency domain, orthogonal transforms in the time and frequency domain, Parseval's theorem and the significance of digital data.
	www.bath.ac.uk /catalogues/2002-2003/ee/eecat.htm

	BWCM - Crystal - Basic Noise Overview
		The mathematical relationship, called the Shannon-Hartley Theorem, is C=W*log2(1+S).
		For digital communications, it is clear how to apply this theorem and schemes exist which come very close to the Shannon limit.
		This concept applies even to voice, but in that case it is your brain which is using the redundant information in the voice signal to extract the information despite noise, whether it be over a radio link or in a crowded room.
	www.rocket-roar.com /BWCM/crystal/noise.html

	broadband » Forums » Fiber Optic » [Fiber Pics] Max theoretical speed over single strand of fiber?
		The theoretical maximum data rate (or capacity) is found using the Shannon-Hartley Capacity Theorem.
		In all my years, I have never seen any discussion of the Shannon-Hartley Capacity Theorem referenced to only 'linear' channels.
		The Shannon equation deals only with noise; there is nothing that relates to distortion.
	www.dslreports.com /forum/remark,11357587

	Mailgate: comp.std.wireless: Re: Simple question in communication...
		But do note that the Shannon-Hartley theorem will let you send 1 gigabit in a 1 Hertz bandwidth, if you can somehow come up with the necessary S/N. Do note, however, that the Shannon Limit is: Eb/N0 >= -1.6 dB -Mike > > "Jeff Chang" wrote in message > news:3c7a61a4$1@news.ucsc.edu...
		There are several different "constellations" for 16-QAM, but a common one has four points in each of the 4 quadrants of the I and Q axes (In-phase and Quadrature; I is usually on the X axis).
	mailgate.supereva.it /comp/comp.std.wireless/msg00388.html

	link_with_earth.htm
		The Shannon limit states that at the same uncoded C/N ratio at a bit rate of 24 kbps, that the maximum data rate achievable would be about 78000 kbps, about 3 times the data rate of the relay satellite.
		As a result, the relay satellite will be configured to utilize about 75 kHz of this allocated bandwidth by using extra coding in order to overcome the large losses as the signal travels through space.
		Therefore, to ensure a near-perfect communications channel, a rate 1/3 turbo code will be utilized, providing ample coding gain at the receiver.
	satcom.nanxu.com /relay_satellite/link_with_earth.htm

	Shannon-hartley theorem - Network Live
		Look for Shannon-hartley theorem in the Commons, our repository for free images, music, sound, and video.
		EXPLORE: Shannon-Hartley theorem - Dictionary of Athletes and...
		Look for Shannon-hartley theorem in Wiktionary, our sister dictionary project.
	shannon-hartley_theorem.networklive.org

	PSTN
		The Shannon-Hartley Theorem specifies the relationship between Bandwidth, noise and channel capacity.
		The best signal-to-noise ratio in an analog voice circuit is about 2000.
	www.inlaser.com /SuperTek/pstn.htm

	BPL theory
		The following is a description Dave sent me on how to use the Shannon-Hartley Theorem.
		Attached is a compiled BASIC program that you can use to calculate the bits-per-second capacity of any communications channel.
		Dave Forsman (WA7JHZ) has written a compiled BASIC program which can be used to model the how well BPL will function at in the HF spectrum.
	myweb.cableone.net /adamsmed2/id26.htm

	Adam Katz - Computing, Fantasy RPGs, Politics
		A hasty examination of the Shannon-Hartley Theorem makes it appear that the capacity after error-correction of a signal is directly proportional to the raw channel capacity.
		Assuming (wildly, I must add) that this means a 1500 kHz station broadcasts at 45 times the bandwith of a modem (3.3kHz) and that we can double the speed due to being one-way, this means a theoretical maximum bandwidth of about 3mbps or 382kBps (Shannon capacity of a phone line is 33.6kbps).
		Phone bandwidth is 3.3kHz, while AM radio is 530-1700kHz.
	katz.khopesh.com

	List of courses
		Basic concepts: (reciprocity theorem, Schelkunoff principle, radiation impedance, efficiency, directivity, radiation pattern, polarization, far field), far field equations (electric and magnetic potential), wire antennas (dipole, loop), aperture antennas (waveguide and horn), continous distribution (Taylor, Bayliss, pedestal), arrays (basic concepts, Chebyshev, binomial), self and mutual impedance (dipoles), numerical analysis with method of moments.
		Description and classification of signals, processing methods and applications, single and multi-dimensional Fourier integral, Fourier transform, Laplace transform, time and frequency convolution, sampling theorem, residual theorem, inverse transform, restoration of sampled signals, Z transform and its characteristics, the inverse transform, connection between Z and S planes.
		The Cayley-Hamilton theorem and the concepts of controllability and observability.
	www.ee.bgu.ac.il /Studies/courses.html

	Email Template
		Shannon-Hartley Channel Capacity Theorem and Nyquist Sampling Theorem will be covered again.
		A physical layer channel has a Shannon channel capacity limit of 20 kbps and a physical channel bandwidth of 5.0 kHz.
		Selection of exam problems will give emphasis to the topics emphasized in the lectures and the problems assigned as homework.
	www.ee.iastate.edu /~russell/cpre489-f99/study/study2.html

	Communications
		The above expression for channel capacity is the SHANNON-HARTLEY THEOREM FOR CHANNEL CAPACITY C.
		Shannon's theorem: It is possible to transmit information with an arbitrarily small probability of error provided that the information rate, R, is less than or equal to C, the channel capacity.
		This theorem states that the sampling rate must equal twice the base band frequency, otherwise an effect known as aliasing.
	www.laidback.org /~daveg/academic/notes/html/comms.html

	Patent 5260556: Optically readable coded target
		Given that every grey level at every pixel location contains the equivalent of one bit of information the Shannon-Hartley Theorem can be generalised to calculate the redundancy level for various spatial and intensity code densities (Ad Hoc Generalisation of Shannon-Hartley Theorem a la Taub.
		Such calculations show that a 16 digit data sequence is still significantly under utilising the effective channel width even for a noise spread equivalent to half the maximum intensity range.
		In practice, several replications can provide a high probability of successful decoding--especially if the coding format contains some capability for error correction within each replication.
	www.freepatentsonline.com /5260556.html

	Patent 6590477: Waveguides and backplane systems with at least one mode suppression gap
		The Shannon-Hartley Theorem provides that, for any given broadband data transmission system protocol, there is usually a linear relationship between the desired system data rate (in Gigabits/sec) and the required system 3 dB bandwidth (in Gigahertz).
		For example, using fiber channel protocol, the available data rate is approximately four times the 3 dB system bandwidth.
		Each of these solutions, however, suffers from bandwidth limitations imposed by conductor and printed circuit board (PCB) or cable dielectric losses.
	www.freepatentsonline.com /6590477.html

	The Dialectics of Information - A Framework
		It is only useful however, because the Shannon Hartley theorem has provided such an elegant and simple way of determining the Channel Capacity.
		The Shannon-Hartley Theorem is one of the most elegant mathematical results of the twentieth century.
		Unfortunately, there is no analog of the Shannon-Hartley theorem to give us an elegant determination of the overall Channel Capacity for this disorderly situation.
	www.isn.ethz.ch /researchpub/publihouse/infosecurity/volume_4/a2/a2_index.htm

	Abstract
		Abstract: The Shannon-Hartley Theorem for the information-carrying capacity of a noisy communication channel is an elegant way to unify Attack and Protect concepts in Electronic Warfare (EW).
		Shannon’s Formula for Mutual Information is an extension of this principle to the Information Dialectic in which all Attack and Protect measures are attempts to increase (reduce) Information Bandwidth or Entropy (ambiguity).
		Using this principle, all EW measures can be seen as attempts to increase (reduce) bandwidth or Signal to Noise Ratio.
	www.isn.ethz.ch /researchpub/publihouse/infosecurity/volume_4/A2/A2_abstract.htm

	followupNotes.txt
		9: Actually, the Shannon formulation is not the only way to make Fitts' law exactly mimic the Shannon-Hartley theorem.
		Fitts' original formulation (equation 2.4 in my thesis) can also be made to mimic the Shannon-Hartley theorem, if we let A = S + N, and W = 2N.
		6: another good reference for Shannon's Theorem 17 is C. Shannon, A mathematical theory of communication, Bell System Technical Journal, vol.
	www.dgp.utoronto.ca /~mjmcguff/research/msc-thesis/followupNotes.txt

Try your search on: Qwika (all wikis)

Topic: Shannon-Hartley theorem

Ads by Google