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Fourier

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266: 87:(DFT), occasionally called the finite Fourier transform, the Fourier transform of a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at discrete frequencies 176: 138: 199: 226: 99:, generalizations of Fourier series that are special cases of decompositions over an orthonormal basis of an inner product space 233:, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source 69:
or short-term Fourier transform (STFT), a Fourier transform during a short term of time, used in the area of signal analysis
81:(DTFT), the reverse of the Fourier series, a special case of the Z-transform around the unit circle in the complex plane 243: 78: 230: 299: 72: 66: 39:, a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function 75:(FRFT), a linear transformation generalizing the Fourier transform, used in the area of harmonic analysis 282: 96: 84: 63:, any one of several theorems by which Fourier inversion recovers a function from its Fourier transform 60: 57:, the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform 143: 116: 90: 181: 204: 8: 271: 51:, the type of linear canonical transform that is the generalization of the Fourier series 285:
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48: 23: 249: 54: 42: 254: 110: 36: 293: 246:, a list of linear transformations of functions related to Fourier analysis 93:(FFT), a fast algorithm for computing a discrete Fourier transform 265: 125: 207: 184: 146: 119: 45:, the description of functions as sums of sinusoids 220: 193: 170: 132: 257:, small rocky island near Cape Mousse, Antarctica 291: 274:page lists articles associated with the title 140:) (also known as the Fourier modulus), a ratio 103: 263: 292: 201:to the rate of thermal energy storage 261:Topics referred to by the same term 13: 244:List of Fourier-related transforms 122: 14: 311: 264: 178:of the rate of heat conduction 79:Discrete-time Fourier transform 231:Fourier-transform spectroscopy 171:{\displaystyle \alpha t/d^{2}} 133:{\displaystyle {\mathit {Fo}}} 30: 1: 73:Fractional Fourier transform 67:Short-time Fourier transform 7: 237: 10: 316: 104:In physics and engineering 97:Generalized Fourier series 85:Discrete Fourier transform 61:Fourier inversion theorem 194:{\displaystyle \alpha t} 222: 195: 172: 134: 91:Fast Fourier transform 223: 221:{\displaystyle d^{2}} 196: 173: 135: 300:Disambiguation pages 205: 182: 144: 117: 218: 191: 168: 130: 286: 49:Fourier transform 24:Fourier (surname) 307: 280: 268: 250:Fourier (crater) 227: 225: 224: 219: 217: 216: 200: 198: 197: 192: 177: 175: 174: 169: 167: 166: 157: 139: 137: 136: 131: 129: 128: 55:Fourier operator 43:Fourier analysis 26:, French surname 315: 314: 310: 309: 308: 306: 305: 304: 290: 289: 288: 287: 279: 262: 240: 212: 208: 206: 203: 202: 183: 180: 179: 162: 158: 153: 145: 142: 141: 121: 120: 118: 115: 114: 106: 33: 12: 11: 5: 313: 303: 302: 272:disambiguation 269: 260: 259: 258: 255:Fourier Island 252: 247: 239: 236: 235: 234: 228: 215: 211: 190: 187: 165: 161: 156: 152: 149: 127: 124: 111:Fourier number 105: 102: 101: 100: 94: 88: 82: 76: 70: 64: 58: 52: 46: 40: 37:Fourier series 32: 29: 28: 27: 19:may refer to: 9: 6: 4: 3: 2: 312: 301: 298: 297: 295: 284: 283:internal link 277: 273: 267: 256: 253: 251: 248: 245: 242: 241: 232: 229: 213: 209: 188: 185: 163: 159: 154: 150: 147: 112: 108: 107: 98: 95: 92: 89: 86: 83: 80: 77: 74: 71: 68: 65: 62: 59: 56: 53: 50: 47: 44: 41: 38: 35: 34: 25: 22: 21: 20: 18: 275: 16: 15: 31:Mathematics 186:α 148:α 294:Category 238:See also 276:Fourier 17:Fourier 281:If an 270:This 109:The 296:: 278:. 214:2 210:d 189:t 164:2 160:d 155:/ 151:t 126:o 123:F 113:(

Index

Fourier (surname)
Fourier series
Fourier analysis
Fourier transform
Fourier operator
Fourier inversion theorem
Short-time Fourier transform
Fractional Fourier transform
Discrete-time Fourier transform
Discrete Fourier transform
Fast Fourier transform
Generalized Fourier series
Fourier number
Fourier-transform spectroscopy
List of Fourier-related transforms
Fourier (crater)
Fourier Island
Disambiguation icon
disambiguation
internal link
Category
Disambiguation pages

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