sine transform वाक्य
उदाहरण वाक्य
मोबाइल
- Some authors only define the cosine transform for even functions of, in which case its sine transform is zero.
- In summary, the sine transform pair, in contrast to the Fourier transform pair, has a very limited applicability.
- Then, one computes the integral of G around an appropriate contour in the complex \ lambda-plane, and this yields the sine transform pair.
- If the original function is an even function, then the sine transform is zero; if is an odd function, then the cosine transform is zero.
- Hence if g _ { 0 } is given, we subtract equations and we obtain the equation for the sine transform of u ( x, t ).
- The coefficient functions and can be found by using variants of the Fourier cosine transform and the Fourier sine transform ( the normalisations are, again, not standardised ):
- Conceptually, the simplest way to derive the global relation is to use the half-Fourier transform, and to follow the same procedure used with the sine transform.
- Like any Fourier-related transform, discrete sine transforms ( DSTs ) express a function or a signal in terms of a sum of sinusoids with different frequencies and amplitudes.
- However, because DSTs operate on " finite ", " discrete " sequences, two issues arise that do not apply for the continuous sine transform.
- Significant examples are the well-known discrete trigonometric transforms ( DTT ), namely the discrete cosine transform and discrete sine transform, which have found many applications in the fields of digital signal and image processing.
- In principle, there are actually four additional types of discrete sine transform ( Martucci, 1994 ), corresponding to real-odd DFTs of logically odd order, which have factors of " N " + 1 / 2 in the denominators of the sine arguments.
- Two related transforms are the discrete sine transform ( DST ), which is equivalent to a DFT of real and " odd " functions, and the modified discrete cosine transform ( MDCT ), which is based on a DCT of " overlapping " data.
- The MDCT was proposed by Princen, Johnson, and Bradley in 1987, following earlier ( 1986 ) work by Princen and Bradley to develop the MDCT's underlying principle of "'time-domain aliasing cancellation "'( TDAC ), described below . ( There also exists an analogous transform, the MDST, based on the discrete sine transform, as well as other, rarely used, forms of the MDCT based on different types of DCT or DCT / DST combinations .)
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