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- {{Engineering Analysis}} {{info|Before reading this chapter, students should be familiar with the ''fourier series'' decomposition method. Information about this can be found in [[Sig ...4 KB (728 words) - 21:21, 7 October 2007
- ...h, and also allows us to begin working with different graphical methods of analysis. ...ignal into a discrete set of frequency components. In essence, any plot of Fourier components will be a ''stem'' plot, and will not be continuous. The user sh ...7 KB (1,123 words) - 14:26, 6 November 2007
- {{Engineering Analysis}} The concept of the fourier series can be expanded to include 2-dimensional and n-dimensional function ...988 bytes (164 words) - 22:29, 25 September 2007
Page text matches
- == Fourier Transform == ...finite number of sines and cosines. Fortunately, we have a theorem called Fourier's theorem which basically states that under certain technical assumptions, ...2 KB (248 words) - 04:39, 22 September 2007
- {{Engineering Analysis}} The classical Fourier series uses the following basis: ...876 bytes (147 words) - 18:15, 17 October 2006
- {{Engineering Analysis}} The concept of the fourier series can be expanded to include 2-dimensional and n-dimensional function ...988 bytes (164 words) - 22:29, 25 September 2007
- {{Engineering Analysis}} Bessel's equation relates the original function to the fourier coefficients a<sub>n</sub>: ...791 bytes (120 words) - 19:02, 9 October 2006
- ...g|right|framed|[[Wikipedia:Joseph Fourier|Joseph Fourier]], after whom the Fourier Transform is named, was a famous mathematician who worked for Napoleon.]] == Fourier Transform == ...7 KB (1,075 words) - 20:27, 9 September 2007
- {{Engineering Analysis}} ...is allows us to decompose a function in terms of time and frequency, while fourier decomposition only allows us to decompose a function in terms of frequency. ...1 KB (239 words) - 19:02, 9 October 2006
- {{Engineering Analysis}} {{info|Before reading this chapter, students should be familiar with the ''fourier series'' decomposition method. Information about this can be found in [[Sig ...4 KB (728 words) - 21:21, 7 October 2007
- == Frequency Analysis == Noise, like any other signal, can be analyzed using the Fourier Transform and frequency-domain techniques. Some of the basic techniques use ...3 KB (449 words) - 03:11, 10 January 2008
- ==Fourier analysis and application== ...2 KB (340 words) - 00:33, 8 July 2006
- ==Multivariate analysis== *(Basic) functional analysis: ...3 KB (346 words) - 19:33, 22 January 2008
- ...h, and also allows us to begin working with different graphical methods of analysis. ...ignal into a discrete set of frequency components. In essence, any plot of Fourier components will be a ''stem'' plot, and will not be continuous. The user sh ...7 KB (1,123 words) - 14:26, 6 November 2007
- The '''Discrete-Time Fourier Transform''' is a version of the fourier transform that is used to convert a discrete data set into a continuous-fre ...ath>X(e^{j\omega})</math> is a continuous function that is interesting for analysis. It can be used in programs, such as Matlab, to design filters and obtain ...2 KB (401 words) - 23:25, 11 January 2008
- {{Engineering Analysis}} ...e both ''L<sub>2</sub>'' functions. Also, other functions useful in signal analysis, such as square waves, triangle waves, wavelets, and other functions are '' ...4 KB (789 words) - 20:41, 8 August 2007
- ...e can have all of these infinite states and if you've ever studied Fourier Analysis you may have noticed, with these states you can form any function you wish- ...2 KB (434 words) - 02:40, 2 November 2007
- ...n a unit step function is used as the input. The step response is a common analysis tool used to determine certain metrics about a system. Typically, when a ne ...it is the relationship between the system output and input in the complex Fourier Domain, not the Laplace domain. We can obtain the frequency response from t ...10 KB (1,606 words) - 13:27, 28 November 2007
- ...n be used to construct a bode plot by transposing from the s-domain to the fourier-domain. However, this is rarely done in practice and the Laplace Transform == Bode Analysis == ...11 KB (1,802 words) - 00:38, 9 March 2008
- ...ential, it is more general than it appears as [[w:Fourier Anlaysis|Fourier Analysis]] can express any continuous function over range ''L'' as a sum of function ...7 KB (1,176 words) - 21:24, 3 August 2007
- ...there is a chapter on the subject in the [[Signals and Systems/Time Domain Analysis/LTI systems|Signals and Systems book]] worth re-reading. ...analyze the spectral components of this equation, we will need to take the Fourier transform of this. But, we can't integrate a sinusoid of a sinusoid, much l ...7 KB (1,174 words) - 05:41, 28 November 2007
- ...s linear combinations of certain basic functions (a key concept in Fourier analysis). These basic functions, which are useful to the field of engineering, rec The Sinc function and the rectangular function form a Fourier transform pair. ...8 KB (1,298 words) - 03:26, 18 November 2007
- ...is a geometic series (for many input signals), we can use geometric series analysis to show whether the series converges, and even under what particular condit ...here is more information about complex integrals in the book [[Engineering Analysis]].}} ...21 KB (3,651 words) - 07:48, 9 January 2008