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Topic: Non-sinusoidal


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In the News (Mon 13 Oct 08)

  
 Fourier Transform Damped Sinusoid
In the applet, the damped sinusoid is shown in purple.
As the phase changes from 0 to 1 the sinusoid changes from a sine to a cosine.
Representing the cosine in terms of complex exponentials and solving the Fourier Integral produces the following expression for the Fourier Transform of the damped cosine.
cnyack.homestead.com /files/afourtr/ftdsoid.htm   (174 words)

  
 Properties of sinusoid signals
The resulting trace is approximately sinusoidal, the zero-crossing is when the stick is immediately in front of you, the positive peak being the furthest distance on the left (say), and the negative peak being the furthest distance on the right.
A sinusoid signal with a period of 2 sec has a frequency of 0.5 Hz, and one with a frequency of 2 Hz has a period of 0.5 sec.
Likewise, a sinusoid signal with a period of 2 msec has a frequency of 0.5 kHz, and one with a frequency of 2 kHz has a period of 0.5 msec.
www.csis.ul.ie /ccmcm/cs5611/acoustics/analysis/node31.html   (302 words)

  
 Fun House Mirror Simulation
To simulate the reflection of sinusoid mirror, I assume the eyes’ position is at the 19/20 height of the whole picture, which is just the average ratio of the eye height to the whole person height.
The result of sinusoid geometric operation can be seen in figure 5 and the result of circular geometric operation can be seen in figure 6.
Because the mirror is sinusoid mirror, it is easy to find the slope of the tangential line of it by differentiating it.
www.ele.uri.edu /~hanx/MirrorSimulation.htm   (540 words)

  
 Representing a Radio Wave with a Sinusoid
In a sinusoid, the signal rises and falls in a repeating pattern, which we identify as a wave.
The standard model of the sinusoid (sine wave), which dates back to the 19th century, is still valid.
These sinusoids may be of different amplitudes, phases, and frequencies.
radarproblems.com /chapters/ch05.dir/ch05pr.dir/c05p1.dir/c05p1.htm   (577 words)

  
 Xah: Special Plane Curves: Sinusoid
Sinusoid is the curve of the sine function.
Sinusoid is the orthogonal projection of the space curve helix.
Sinusoid is the development of an obliquely cut right circular cylinder.
www.xahlee.org /SpecialPlaneCurves_dir/Sinusoid_dir/sinusoid.html   (655 words)

  
 Discrete Fourier series Transform
A sinusoid of 2 kHz with an amplitude of 100 mV, and a phase shift of 0.
A sinusoid of 3 kHz with an amplitude of 100 mV, and a phase shift of 0.
A sinusoid of 1 kHz with an amplitude of 50 mV, and a phase shift of pi/2.
www.4p8.com /eric.brasseur/fouren.html   (1225 words)

  
 Generation of Sinusoidal Data
Generation of 1D and 2D sinusoidal waves are essential for the creation of test patterns, color maps, filter kernels, etc, used either in the spatial or frequency domains.
A discrete sinusoidal signal is defined by its length (W), amplitude (A), its period (T) or frequency (f) and phase (phi).
Recall the sampling theorem; the minimum period we can sample a sinusoid wave is 2 pixels.
www.dca.fee.unicamp.br /dipcourse/html-dip/c2/s2/front-page.html   (296 words)

  
 Circuitry for multiplying a PCM signal by a sinusoid - Patent 4727333
The period of sinusoid A is N times the period of the sample clock C. Therefore, the values of every Nth sample of the sinusoidal signal are the same.
Apparatus for multiplying a sampled data signal by a sinusoid having a period which is a multiple of the sample rate includes a plurality of sample scaling means to scale the sampled data signal by factors corresponding to the sine of angle.theta.
The present invention, for multiplying sampled data signals by a sinusoid includes apparatus for phase locking the rate of occurrence of the signal samples to be multiplied to the sinusoid.
www.freepatentsonline.com /4727333.html   (6085 words)

  
 Time and Frequency Representation
This distance along the frequency axis is the frequency of the sinusoid, equal to the inverse of the period of the sinusoid.
These two projections mean that the sinusoid appears as a sinusoid in the time plane (time - amplitude axes), and as a line in the frequency plane (frequency- amplitude axes) going up from the frequency of the sinusoid to a height equal to the amplitude of the sinusoid.
The actual sinusoid can be considered to be as existing some distance along the frequency axis away from the time plane.
www.cage.curtin.edu.au /mechanical/info/vibrations/tut2.htm   (484 words)

  
 Electrotherapy of arterial hypertension
This method is used for arterial hypertension, non-ischemic heart pain, hypertension complicated by aterosclerotic encephalopathy, chest pain secondary to thoracic osteoarthritis.
Sinusoid modulated currents (SMC) with frequency of 10 to 200 Hz penetrate through the skin better than AC or DC.
One application of sinusoid modulated currents on the kidney projection area in healthy people can sufficiently reduce blood pressure measured 30 mm after the end of application (table).
www.gfmer.ch /TMCAM/Hypertension/Electrotherapy_arterial_hypertension.htm   (1369 words)

  
 sinusoid - definition by dict.die.net
sinusoid n 1: tiny endothelium-lined passages for blood in the tissue of an organ 2: the curve of y=sin x [syn: sine curve]
It is also called the curve of sines.
dict.die.net /sinusoid   (58 words)

  
 Sinusoid (scope)
A sinusoid is used for excitation, otherwise the mode is similar to
www.winmls.com /hjelpfiler/sinusoidscope1.htm   (21 words)

  
 sinusoid --  Encyclopædia Britannica
The walls of the sinusoids are lined with phagocytic cells, called Kupffer cells, that digest old red blood cells and...
The sinusoids form from branches of the portal vein in the liver and from arterioles (minute arteries) in other organs.
The walls of the sinusoids are lined with phagocytic cells, called Kupffer cells, that digest old red blood cells and…
www.britannica.com /eb/article-9067962?tocId=9067962   (510 words)

  
 Frequency-selectable pulsed-sinusoid generation system - Patent 4739186
This invention relates to the generation of pulsed sinusoidal signals wherein the nominal frequency of each pulsed signal is preselectable and, more particularly, to the use of dispersive and compressive filters to provide a time-expanded version of each of a set of possible output signals.
The second filter compresses its input signal to produce an output pulsed sinusoid which is substantially shorter in duration than the input signal and extends over an interval of approximately two cycles of a carrier having a nominal frequency equal to the midband frequency of the input swept sinusoid.
As is well known, such a filter receives a swept frequency sinusoid extending over a pulse of relatively long duration, and converts the pulse to one of relatively short duration which short duration pulse has a carrier frequency equal to the average of the swept frequency.
www.freepatentsonline.com /4739186.html   (5517 words)

  
 Colorization with Sinusoid Functions
The colorization by rainbow function is a special case of sinusoidal mapping.
The sinusoid is characterized by regions of relatively constant values near the peaks and regions that change rapidly near the valleys.
  Note that instead of using the absolute value to compensate for the negative values which come from a standard sinusoid function, this one is offset and scaled to give an output which ranges from 0 to 1.
www.ece.utk.edu /~fletcher/ece573/Colorization_Sinusoid.htm   (259 words)

  
 An Intuitive Explanation of Fourier Theory
Here is another sinusoidal brightness image, this time with a lower spatial frequency, together with it's two-dimensional Fourier transform showing three peaks as before, except this time the peaks representing the sinusoid are closer to the central DC term, indicating a lower spatial frequency.
The orientation of the sinusoid correlates with the orientation of the peaks in the Fourier image relative to the central DC point.
The magnitude of the sinusoid corresponds to its contrast, or the difference between the darkest and brightest peaks of the image.
cns-alumni.bu.edu /~slehar/fourier/fourier.html   (1958 words)

  
 Description of the FixedSine class public functions
Sets the phase of the sinusoid in normalized radians (a phase of 1 is equal to pi radians).
Returns the frequency of the sinusoid in cycles per second.
Returns the phase of the sinusoid in normalized radians.
sig.sapp.org /doc/classes/FixedSine/functions.html   (94 words)

  
 Hann-Windowed Complex Sinusoid
The resulting plot of the Hann window and its use on sinusoidal data are shown in Fig.
We'll use the Hann window (also known as the Hanning window) which does not have as much sidelobe suppression as the Blackman window, but its main lobe is narrower.
In this example, we'll perform spectrum analysis on a complex sinusoid having only a single positive frequency.
ccrma-www.stanford.edu /~jos/intro/Hann_Windowed_Complex_Sinusoid.html   (183 words)

  
 linSysTutorial.m
For example, a % sinusoidal sequence convolved with a linear filter gives another % sinusoidal sequence of the same frequency.
% Thus, the FT of a Gabor is the convolution of the FT of a % Gaussian with the FT of a sinusoid.
For a complicated signal, that can be % expressed as the sum of a number of sinusoids, the frequency% response can be used to "read off" the attenuation and phase % shift for each component.
www.cs.toronto.edu /pub/psala/linSysTutorial.m   (2799 words)

  
 imageTutorial.m
Each coefficient is associated with % a sinusoidal basis function.
That is, convolution of a % sinusoid with any filter produces a sinusoid with the same % frequency vector, but possibly different amplitude and % phase.
The direction of the vector is normal to the % orientation of sinusoid.
www.cs.toronto.edu /pub/psala/imageTutorial.m   (1773 words)

  
 sinusoid
Hepatic sinusoidal pseudocapillarization with aging in the non-human primate.
www.arclab.org /node_pages/925.html   (19 words)

  
 ... DSP by Richard G Baldwin
This is the case where all five sinusoids are sampled at a sampling frequency of four samples per second, resulting in a folding frequency of two cycles per second.
However, the frequency of the sinusoid for the fourth plot was 1.50 cycles per second, not 0.5 cycles per second as indicated.
One sample is taken from the positive lobe of the sinusoid, and the next sample is taken from the negative lobe of the sinusoid.
www.dickbaldwin.com /dsp/Dsp00104.htm   (4887 words)

  
 paperdetail.asp?id=370&volume=48&number=3&bgpage=353&endpage=357&year=2002&month=6
In the VEGF group, which consisted of 5 frogs, the average diameter of the stomata, the average distribution density of the stomata and the sinusoid areas were 1.50 μm, 8.25/0.1 mm2 and 2 443.95 μm2/0.1 mm2 respectively, which were much higher than those in control group (P<0.01).
VEGF strongly regulated the pericardial lymphatic stomata by increasing their numbers, diameters, and higher distribution density and also increased the sinusoid area with the result of the higher permeability of the pericardium.
AngⅡ enhanced VEGF induced the stomata and the sinusoid, which would speed up material transfer of the pericardipal cavity and pericardial leaking from the myocardium so as to play an important role in preventing myocardial interstitial edema.
www.actazool.org /paperdetail.asp?id=370&volume=48&number=3&bgpage=353&endpage=357&year=2002&month=6   (326 words)

  
 Lab: Generation of Sinusoidal Data
Use the operator Sinusoid to generate 1D sinusoidal data sets.
Use Sinusoid to generate 2D sinusoidal data sets.
Open the Sinusoid pane and change the "Number of sine waves along Width" to 100, and "Number of sine waves along Height" to 50.
www.geo.uni-bonn.de /services/software/khoros/dip/html-dip/c2/s2/node2.html   (653 words)

  
 5.4:Encoding Analog Signals
The low-amplitude sinusoid is switched on for a second at the 10- and 15-second marks, and the high-amplitude sinusoid again for a second time, centered at the 20-second mark.
Thus, a sinusoid that repeats its pattern once every 1 thousandth of a second (once every millisecond) is said to have a frequency of 1000 hertz or 1 kilohertz.
All that has to be changed in the system are the voltage sources at the transmitter (constant sources to sinusoid sources) and the voltmeter types at the receiving end (constant voltage voltmeters, called dc - direct current-meters need to be changed to sinusoid voltage voltmeters, called ac - for alternating current -meters).
campus.murraystate.edu /tsm/tsm118/Ch5/Ch5_4/Ch5_4.htm   (1871 words)

  
 Brain Games
/2 is 1 which we avoided in the statement of the puzzle for a non calculus approach when we assumed that the area of the sinusoid was 1 between the given limits).
The area under the sinusoid which represents all the events of crossing is 1(found from integral calculus as explained in the answer).
The theoretical likelihood of crossings to total drops is the area of the sinusoid divided by the area of the total rectangle or 1/
www.navworld.com /navcerebrations/Pi/julbrainfix.htm   (1075 words)

  
 Fourier Analysis in Complex Spaces
The complex sinusoid can be directly mapped onto our complex plane, which allows us to easily visualize changes to the complex sinusoid and extract certain properties.
If you are familiar with the basic sinusoid signal and with complex exponentials then you should not have any problem understanding this section.
After looking at all the complex sinusoids, we must answer the question of which discrete-time sinusoids do we need to represent periodic sequences with a period N.
cnx.rice.edu /content/m10784/latest   (896 words)

  
 Prony Estimation
Prony's method is a technique for extracting the sinusoid or exponential signals by solving a set of linear equations for the coefficients of the recurrence equation that the signals satisfy.
Estimation of sinusoid and exponential signals using eigen-analysis of covariance matrices.
The Pisarenko form of the method is consistent but inefficient for estimating sinusoid signals and inconsistent for estimating damped sinusoids or exponential signals.
www.statsci.org /other/prony.html   (1688 words)

  
 The Fundamental Signal
A is known as the sinusoid's amplitude, and determines the sinusoid's size.
Summary: A description of the fundamental signal used in communications systems, the sinusoid, is presented as well as several of the properties of the sinusoid.
Show that cos(2πfn) =cos(2π(f+1) n), which means that a sinusoid having a frequency larger than one corresponds to a sinusoid having a frequency less than one.
cnx.rice.edu /content/m0003/latest   (687 words)

  
 Systat Software Inc. - AutoSignal - Tutorials
Although the frequency was accurately recovered by the non-linear sinusoid fit, there is a small attenuation of the amplitude, and a minor shift in the phase.
To assess how closely the sinusoid was recovered in the smoothing, we will explore the Fourier spectrum of the output data and we will non-linearly fit a single sinusoid model to the output data.
The sinusoidal frequency is accurately recovered and the amplitude shows the least attenuation.
www.systat.com /products/AutoSignal?sec=1040   (2401 words)

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