**[https://en.wikipedia.org/wiki/Gummi_(software) Gummi] is a LaTex editor with preview for Linux and Windows.
**[https://en.wikipedia.org/wiki/Gummi_(software) Gummi] is a LaTex editor with preview for Linux and Windows.
**[https://cloud.sagemath.com SageMath] uses sage (a computer algebra system) and latex to make your document. It has a nice preview that shows you what you get with your LaTex code. It also has a Linux terminal that you can use for octave and other things. You can create all kinds of files. It works well with the online LaTex editor below.
**[https://cloud.sagemath.com SageMath] uses sage (a computer algebra system) and latex to make your document. It has a nice preview that shows you what you get with your LaTex code. It also has a Linux terminal that you can use for octave and other things. You can create all kinds of files. It works well with the online LaTex editor below.
**[https://www.codecogs.com/latex/eqneditor.php Online LaTeX Editor] especially for equations. This is useful for other systems that take LaTex input when you don't know LaTex yet.
*[http://lurchmath.org/ Lurch (a math editor for your desktop that will check your logic)]
*[http://lurchmath.org/ Lurch] is a math editor for your desktop that will check your logic. For this class it is primarily useful as an easy editor for mathematical subjects.
*[https://andrejv.github.io/wxmaxima/index.html wxMaxima is a document based GUI for the Maxima computer algebra system.]
*[https://andrejv.github.io/wxmaxima/index.html wxMaxima] is a document based GUI for the Maxima computer algebra system. You can do quite a bit of algebra and calculus in wxMaxima. The notebooks it produces look good, but not as good as LaTex documents, however, you can easily change them, and it will redo all the math with the changes.
*[http://www.ptc.com/engineering-math-software/mathcad?ab_eid=491&ab_vid=94189&gclid=CjwKEAjw1f6vBRC7tLqO_aih5WISJAAE0CYwihsuWeadsqwBL38_IQofPffXZUCfFMmau725f_zk-BoCbkrw_wcB PTC Mathcad works for Windows and costs something.]
*[http://www.ptc.com/engineering-math-software/mathcad?ab_eid=491&ab_vid=94189&gclid=CjwKEAjw1f6vBRC7tLqO_aih5WISJAAE0CYwihsuWeadsqwBL38_IQofPffXZUCfFMmau725f_zk-BoCbkrw_wcB PTC Mathcad] works for Windows and costs something.
Fast Convolution Based on the FFT This reference shows how end effects are dealt with. To use the FFT for convolution, you need to do it in blocks, which leads to end effects, and more latency, but if your blocks are big enough, it speeds up the convolution.
The truncated Fourier series or DFT method of FIR filter design gives the best approximation of the desired frequency response in a least squared error sense, but it is not very good near discontinuities. The Parks-McClellan (Remez) iterative algorithm gives equal ripple in the pass band and stop band. This is the best in terms of minimizing the maximum error in each area, which is usually better in the real world. MATLAB/octave have automated functions to do that. See remez() in the Signals package of octave.
LaTex: I suggest opening opening the following sample file with any of the LaTex editors below. LaTex is a document processing language that you compile like C or other compiled languages. It does produce the nicest looking documents, but it takes a bit of expertise to do that. If you are bound for graduate school, it is well worth learning.
TexStudio works with Windows, Linux, and OS X, has a previewer, menus to help newbies, and is about the most featured LaTex editor I have tried.
Texmaker is a LaTex editor with preview and a bunch of menus that help to figure out what you need to type to get the effects you want. It works on Linux, Windows, and OS X.
Gummi is a LaTex editor with preview for Linux and Windows.
SageMath uses sage (a computer algebra system) and latex to make your document. It has a nice preview that shows you what you get with your LaTex code. It also has a Linux terminal that you can use for octave and other things. You can create all kinds of files. It works well with the online LaTex editor below.
Online LaTeX Editor especially for equations. This is useful for other systems that take LaTex input when you don't know LaTex yet.
Lurch is a math editor for your desktop that will check your logic. For this class it is primarily useful as an easy editor for mathematical subjects.
wxMaxima is a document based GUI for the Maxima computer algebra system. You can do quite a bit of algebra and calculus in wxMaxima. The notebooks it produces look good, but not as good as LaTex documents, however, you can easily change them, and it will redo all the math with the changes.
PTC Mathcad works for Windows and costs something.
HW #6 - Pick a property of the Fourier Transform & present it on the Wiki. Make a table with all your properties. Interpret your property. (Ben Henry)(Chris Lau)(Victor Shepherd)
HW #9 - Add to #8 writeup how to do a decimating filter and figure out how many multiply & adds are needed for a n/2 decimating low pass filter.(Jodi S. Hodge)(Chris Lau)(Victor Shepherd)
HW #10 - Use Octave (or Mathlab or Silab) to plot the frequency response of low pass filters with cut off frequencies of 1/32T, 1/8T, and 1/4T and compare how many coeffficients are needed with an eye to answer the question "Is it less calculation to decimate and then filter, or better to put the filter in the pre-decimation filter?" (Jodi S. Hodge)(Victor Shepherd)
HW #11 - Is our method the same as Mark Fowler's? See
HW #12 - Experiment with a variety of signals having a 3Khz bandwidth to determine the resolution you can get when doing a cross correlation . You can generate the signals randomly and filter them to obtain the band-limited signals. (Jodi S. Hodge)
