[Introduction]  [Signal arithmetic]  [Signals and noise]   [Smoothing]   [Differentiation]  [Peak Sharpening]  [Harmonic analysis]   [Fourier convolution]  [Fourier deconvolution]  [Fourier filter]  [Wavelets]   [Peak area measurement]  [Linear Least Squares]  [Multicomponent Spectroscopy]  [Iterative Curve Fitting]  [Hyperlinear quantitative absorption spectrophotometry] [Appendix and Case Studies]  [Peak Finding and Measurement]  [iPeak]   [iSignal]  [Peak Fitters]   [iFilter]  [iPower]  [List of downloadable software]  [Interactive tools]

     

Appendix: Case Studies and Simulations.

[A. Can smoothed noise may be mistaken for an actual signal?
[B. Is this a Signal or just Noise?
[C. Buried treasure]
[D. The Battle Rounds: a comparison of methods
[E. Ensemble averaging patterns in a continuous signal]
[F. Harmonic Analysis of the Doppler Effect]
[G. Measuring spikes]
[H. Fourier deconvolution vs curve fitting]
[I. Digitization noise]
[J. Very low signal-to-noise ratios]
[K. Signal processing and the search for extraterrestrial intelligence]
[L. Why measure peak area rather than peak height?]
[M. Peak fitting in Excel and OpenOffice Calc]

[N. Using macros to extend the capability of spreadsheets]
[O. Random walks and baseline correction]
[P. Modulation and synchronous detection]
[Q. Measuring a buried peak]
[R. Signal and Noise in the Stock Market]
(added September 2016
[S. Measuring the Signal-to-Noise Ratio of Complex Signals
(added October, 2016)
[T. Dealing with wide ranging signals]
(added November 2016)
[U. Measurement Calibration]
(added December, 2016)
[V. Numerical precision limits of computer hardware and software]
(added January, 2017) 
[W. Low-cost computer hardware: The Raspberry Pi
(added March, 2017)
[X. Batch processing] (added June, 2017)
[Y: Real-time signal processing]
(added February 2018)
[Z: Dealing with variable data arrays in spreadsheets] (added December 2018) 
[AA: Computer simulation of signals and instruments] (added December 2018)
[AB: Who uses this web site and associated software?] (added December 2018)
[AC. The Law of Large Numbers(added March 2019)
[AD. Time-resolved Classical least Squares(added May 2019)
[AE. The Mystery Peak(added  November 2019)
[AF. Developing Matlab Apps] (added March 2022)
[AG. Using real-signal modeling to determine measurement accuracy] (added July 2022)

This page is part of "A Pragmatic Introduction to Signal Processing", created and maintained by Prof. Tom O'Haver , Department of Chemistry and Biochemistry, The University of Maryland at College Park. Comments, suggestions and questions should be directed to Prof. O'Haver at toh@umd.edu. Updated July, 2022.