Proj03_17FalCover.docx

ECE 309 Project #3 Page 1 of 2

Cover-sheet: MATLAB Project 3 – Curve Fitting

Student name: ________________________________________

Preliminary Preparation Calculation (handwritten or typed; show derivation):

2b. KVL Diff. Eq v(t): ___________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

2c.  = ______

Procedure, Part 1.1: Least-Squares Fit for Polynomials

Testing the m-file, Part 1.1.B:

Least-squares fit equation obtained for the physics experiment (Question 1, p. 2):

y = _________________________________

Sum of squared errors for the physics experiment: __________________

Calculated values for parameter estimates, based on experimental data:

a = ________ vi = ________ yi = ________ (from Question 2, p.3)

Procedure, Part 1.2: Curve Fitting with Constrained Polynomials

Least-squares fit equation obtained for the physics experiment (Question 2, p. 3):

d = _________________________________

Calculated values for parameter estimates, based on experimental data:

E = ________ D = ______ (from Question 3, p. 3)

Procedure, Part 2: Curve Fitting for Exponential Functions

v(t) = __________ (least-squares fit for voltage in the RC Circuit)

Estimate for : ______; estimate for V0: ___________; Calculate C: _________

(Do not submit this page.)

Attach to the cover sheet, in the order specified:

Procedure, Part 1: Your function m-file, pnfit, followed by the Part 2[footnoteRef:1] test results: [1: This is the physics free-fall experimental data. ]

· MATLAB’s output:

·

(or d), and e2; and

· the plot showing the experimental data and the least-squares fit for the data (with a grid and appropriate axis labels and a title); and

· a separate single page (labeled Procedure, Part 1) with your paragraph and table comparing the experimental and theoretical results for the parameters;

Procedure, Part 2: The Constrained Polynomial Worksheet[footnoteRef:2], your function m-file, constr_pnfit, and the output generated by the m-file. [2: Submit only the Worksheet Section, not the Tutorial Section.]

Procedure, Part 3: Your function m-file, myexpfit, and the plot (with a grid and appropriate axis labels and a title) for the least-squares fit voltage v(t) across the capacitor in the RC circuit.

· Be sure that your flow chart is neat; allow (at least) a full page for the flow chart.

Do not include your own personal test data or your test drive programs.

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