Conceptualized, designed, built and tested product based on Fourier analysis concepts to obtain high frequency
sine waves from digital square wave oscillators, resulting in less expensive / more compact product.
The software produces
a sine wave from a «best fit» solution.
Not exact matches
The drawing shows
sine waves that resemble
waves on the surface of water being reflected
from two surfaces of a film of varying width, but that depiction of the
wave nature of light is only a crude analogy.
The
sine wave is plotted
from the published orbit data and is only lined up visually to our data.
If creases and curls are your thing, the Elantra delivers,
from its black - braced hexagonal grille and wraparound projector headlamps to its
sine -
wave character lines.
The ratio line
from $ 9.99 to $ 14.99 probably resembles a
sine wave than something straight, if the ratio at $ 12.99 to $ 9.99 was better, Amazon would have used it.
It is a little dangerous to project a trend
from two points on a
sine wave, especially when the measurements of the two points are subject to «error correction.»
I did however buy a $ 300 1500 watt pure
sine wave inverter to run my house
from the Volt's 16kwh battery when the grid is down.
However, by plotting monthly data that has been adjusted for possible systematic changes, such as the temperature «
sine wave» by simply subtracting the long term average for each month
from each individual datum — which I call «monthly differences» — as its cumulative sum rather than in its original form, the cusum pattern that emerges is often quite striking.
I agree with the commenters who note here and have noted elsewhere on WUWT that any model of the climate needs to have some governor function or functions at some organizing level higher than that of a
sine wave cycling
from peak to trough and back again.
This is easily refuted by fitting the top of a gaussian to the top of a
sine wave, or vice versa (depending on which one you propose to extrapolate
from).
Don't forget cycles in autocorrelation do not necessarily result
from such nice
sine wave looking cycles in the data, but do show repetitions of pattern.
Now I had seen this before with many individual stations, but it really impressed me to see the pattern matching
from such far - flung locations... So is this «
sine wave» the true climate signal?
«Taking these ten locations
from across the globe andsuperimposing the anomaly data produced a
sine wave - like pattern with distinct cooling
from the early 1940s to mid-1970s followed by warming to present; for many of the locations the older data was warmer, or at least as warm as present.
It would seem a natural
sine wave - a cycle that switches
from cold - to - warm - back - to - cold - etc.
Girma for a bit of fun I reconstructed the hadcrut3V global tempreature series
from sine waves of different frequencies amplitudes and phases (I think it is pretty good fit over 1850 to 2010 — and beyond!).
And while it may not be a «perfect»
sine wave either: going constantly
from uniform peaks to uniform troughs back to uniform peaks, it will be some pattern that can be used.
Any
sine wave with a period longer than the length of the time series (in the case of GISS, about 130 years) will give a fit almost indistinguishable
from a straight line fit.
Instead what I did was take your result
from Loehle 2007 which gives a 2000 year reconstruction and perform the same analysis — what is the
sine wave with the best fit to the 2,000 year data?
The positive slope is the recovery
from the LIA and the
sine wave the stadium
wave, solar effect, or AMO / PDO effects.
In fact, you can get a very good fit with actual temperature by modeling them as three functions: A 63 - year
sine wave, a 0.4 C per century long - term linear trend (e.g. recovery
from the little ice age) and a new trend starting in 1945 of an additional 0.35 C, possibly
from manmade CO2.
However, it is instructive to note that a simple model of a linear trend plus
sine wave matches history so well, particularly since it assumes such a small contribution
from CO2 (yet matches history well) and since in prior IPCC reports, the IPCC and most modelers simply refused to include cyclic functions like AMO and PDO in their models.
This is in the same category of drawing
sine waves using half - circles
from a drawing template which yield a «slope» that is seemingly infinite as (delta y / delta x)- > infinity as x - > 0.