how do we generate the fourier map?
601386
Through the fourier map generator.
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There are a number of available tools in the following website:\n\nhttp://www.functionx.com/
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I hate Fourier transforms.
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Go to the website in sources and download the sample Matlab programs\n\nWhen you unzip the file, the examples will be divided into chapters based on the book Digital Signal Processing using Matlab V, by Vinay K. Ingle and  John G. Proakis.   Here are the titles to the chapters:\n\n    *  Chapter 2:  Discrete-Time Signals and Systems\n    *  Chapter 3:  The Discrete-Time Fourier Series\n    *  Chapter 4:  The z-Transform\n    *  Chapter 5:  The Discrete Fourier Transform\n    *  Chapter 6:  Digital Filter Structures\n    *  Chapter 7:  FIR Filter Design\n    *  Chapter 8:  IIR Filter Design
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Karnaugh map:\n\nCheck out the following link which will help.
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http://en.wikipedia.org/wiki/Image:Ug-map.png
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http://en.wikipedia.org/wiki/Fourier_optics\nhttp://www.supercrawler.com/Facts/fourier_optics.html\n\nYou can download a optics program to learn fournier opticas in\nhttp://www.aptrio.com/Education/Science/wave-optics-on-the-computer-download-12206.html\nGood luck
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http://focus.ti.com/lit/ml/slup117/slup117.pdf
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One of the beauties when using Fourier transforms, is the ability to work with a spectrum of modes and act on each of the components individually with a filter. By sampling the function over a period  with a finite number of values  , where  is the size of the sampling interval, the spectrum gets truncated at the shortest wavelength  called Nyquist critical wavelength: this corresponds to exactly 2 mesh points per wavelength, which does however not mean that shorter wavelengths  do not contribute to the Fourier coefficients (4.1#eq.1). Figure 4.3#fig.1 illustrates how they get aliased back into the lower components of the spectrum
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Ascii http://www.4d.com/docs/cmu/cmu10121.htm\n\nGood luck
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It is Parseval's theorem you seek. "The total energy contained in a waveform x(t) summed across all of time t is equal to the total energy of the waveform's Fourier Transform X(f) summed across all of its frequency components f."\n\nFor a periodic signal, take the energy in each frequency for one period.  Sum those and you have the total energy.  The maximum amplitude during the period would be if all of that energy occured at once (i.e. an  impulse).  Convert that to dBm or DBW and you have your answer in dB.\n\nLook at the last equation in the link in "sources".
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Sqrt(Pi/2) * Fresnel [Sqrt(2/Pi)*x]
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I've done a good bit with linear transforms in general (LaPlace,Fourier, Z), so hopefully I can help you. The most important thing for your class is to know whether or not they will allow the use of tables or not. Even the simplest function will usually require integration by parts to compute a transform directly. Usually I use tables of transforms coupled with properties of transforms (like the differentiation property, which lets you use algebra instead of calculus to solve an ordinary linear DE). I really can't go into any depth without pencil and paper. Check out the link below (it contains an example of using LaPlace transforms to solve a linear ordinary DE).
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i'm giving the final answer not hte full steps ok\n(a sin(wt)-w cos(wt))/w*(w^2+a^2)  + e^(-at)/(a^2+w^2)\nby using convolution theorem
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I do not know a preprogrammed utility to do this, but can point you in the direction that you might need to go.  See the reference below for the math and an on-line converter:
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Have you thought about using FFT (Fast Fourier Transform)? That should be easy to implement.
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How about making yourself a model, finding its point group then working out the reducible representation?