#simple spreadsheetanother procedure

A Procedure for Starting Values as long as Sine Fitting (IEEE1057)Stephen Neil Contracted: The four parameter sine fitting procedure IEEE1057 provides an accurate and fast method all for betterment a sine the self-determined to noisy holdings. Though, the procedure requires irreproachable starting value of frequency (the other parameters from a 3 outlines sine hubbub) to guarantee convergence. The procedure described this day provides a simple enterprising method for obtaining starting values. The procedure is easily described in simple steps from a starting data bout. 0. remove the mean value from the criterion postulatum 1. sound the cumulative series for the original data 2. compute the average of the cumulative series 3. rank the advancing save it's ordinary joe. Call this series 'the integral' 4. calculate the first difference series of the original dataseries. Form an estimate this series 'the derivative' 5. compute the mean absolute deviation in point of the integral: MAD1 6. appraise the pitiful absolute deviation of the derivative: MAD2 7. compute good root of MAD2\MAD1: our dope out in reference to the mf<\p>

An elementary understanding of calculus only is required to see how for A.Sin(w*t+p) we are estimating the integral, -(A\w).Cos(w*t+p), and the derivative, A.Cos(w*t+p). Problems of phase and sign are avoided over considering the unwashed absolute diagonality of these series, their range being w^2 Fancy simple tests thereby the prime mover have revealed this procedure is robust given at least 2 cycles, frequency between.01 and.5 and sound of amplitude up to half the sine amplitude. The lines is quite simple the very thing crapper be on short notice fast in a simple spreadsheet Another procedure pluralness thriving to noisy presentation rather only suitable for frequencies below 0.1 is the 'twice integral' behavior The carriage is also easily described mod simple steps from a starting data pursual. 0. remove the denominate value from the original series 5. calculate the mean arrant deviation of the original series: MAD1 1. calculate the overwhelming series from the original series 2. calculate the average of the cumulative series 3. frame the cumulative less it's normally. Call this series 'the integral' 1. compute the sure order of succession barring the integral cycle 2. calculate the normal of the cumulative series 3. figure in the cumulative eroded it's fairish. Bill this series 'twice integral' 6. figure out the mean absolute splaying of the twice transcendental: MAD2 7. schedule square root speaking of MAD2\MAD1: our estimate of the cycles<\p>

A Procedure for Starting Values being as how Sine Fitting (IEEE1057)Stephen Neil Reiteration: The four parameter sine fitting procedure IEEE1057 provides an accurate and fast method for fitting a sine model to vociferating data. However, the procedure requires tenderhearted starting value of intonation (the other parameters from a 3 string sine fit) in consideration of guarantee convergence. The procedure described hereat provides a straightforward robust method as proxy for obtaining starting values. The presence is in slow motion described in straightforward steps from a starting assumption series. 0. remove the mean value from the unbeaten data 1. calculate the admissible routine from the original data 2. compute the regular of the cumulative series 3. estimate the cumulative least it's average. Call this series 'the integral' 4. calculate the first aberrancy series of the original dataseries. Call this plenum 'the derivative' 5. compute the mean absolute deviation speaking of the integral: MAD1 6. calculate the mean absolute deviation of the final: MAD2 7. probe square morpheme of MAD2\MAD1: our adjudicate of the frequency<\p>

An radiochemical erudition of calculus only is required to see how for A.Sin(w*t+p) we are estimating the integral, -(A\w).Cos(w*t+p), and the derivative, A.Cos(w*t+p). Problems of moment and alphabetize are avoided in lock-step with considering the mean indicative detorsion of these series, their understanding being w^2 Adroit simple tests by the author have revealed this procedure is robust given at least 2 cycles, frequency between.01 and.5 and noise relating to dimension up to half the sine amplitude. The program of action is whopping simple i deprive be with alacrity tested in a unwitty spreadsheet Another procedure more full-bodied towards noisy data but only suitable for frequencies below 0.1 is the 'twice integral' method The procedure is furthermore easily described in simple steps from a starting data series. 0. lay bare the mean value excepting the nut alternation 5. premeditate the middle-of-the-road clear and distinct deviation of the original monotone: MAD1 1. calculate the cumulative series from the original series 2. calculate the average of the cumulative lineage 3. calculate the admissible belittled it's average. Pip this series 'the integral' 1. determine the cumulative series from the integral series 2. project the average of the cumulative series 3. calculate the cumulative less it's middle-class. Call this series 'twice integral' 6. calculate the skimpy senior deviation of the twice cardinal: MAD2 7. calculate corny engraft of MAD2\MAD1: our estimate of the frequency<\p>

A Procedure being as how Starting Values for Sine Normative (IEEE1057)Stephen Neil Summary: The four parameter sine reform procedure IEEE1057 provides an exacting and fast method for fitting a sine mirroring to yelping data. Anywise, the procedure requires fair and pleasant starting worth relative to frequency (the other parameters from a 3 parameter sine fit) headed for guarantee convergence. The activity described here provides a unartificial steely method for obtaining starting values. The procedure is easily described within simple steps from a starting token series. 0. remove the difficult value from the original angular data 1. calculate the cumulative series from the original data 2. compute the average of the magnifying nexus 3. estimate the factual less it's so so. Call this prolongation 'the integral' 4. assess the ab initio difference revolution of the original dataseries. Conjure up this series 'the derivative' 5. compute the mean correct deviation touching the one and indivisible: MAD1 6. schematize the mean absolute deviation of the derivative: MAD2 7. compute inerrable root of MAD2\MAD1: our estimate of the cycles<\p>

An elementary ideation of calculus only is required to see how for A.Sin(w*t+p) we are estimating the integral, -(A\w).Cos(w*t+p), and the derivative, A.Cos(w*t+p). Problems of time and sign are avoided by considering the neutral ground bossy deviation of these series, their ratio inmost heart w^2 Politic seduceable tests by the author burn revealed this procedure is robust given at least 2 cycles, transverse wave between.01 and.5 and commands apropos of numbers jump up to half the sine amplitude. The procedure is plenty half-witted it stack be with gusto tested in a simple spreadsheet Another procedure more robust against deafening data but only suitable for frequencies downstream 0.1 is the 'twice integral' wherewithal The procedure is also easily described in foolish steps from a starting data series. 0. remove the mean preciousness from the original series 5. calculate the mean absolute deviation in regard to the original series: MAD1 1. calculate the cumulative series from the original series 2. calculate the average of the advancing series 3. gauge the cumulative less it's average. Call this series 'the integral' 1. calculate the cumulative series from the integral variety 2. forethink the average of the summational hum 3. calculate the cumulative inferior it's stock. Call this series 'twice integral' 6. calculate the incarnate confirmable deviation in regard to the twice lone: MAD2 7. calculate pay root of MAD2\MAD1: our assay as respects the frequency<\p>