Bilinear time–frequency distributions, or quadratic time–frequency distributions, arise in a sub-field of signal analysis and signal processing called...

because the representation is quadratic in the signal (see Bilinear time–frequency distribution). This formulation was first described by Eugene Wigner in...

Wavelet transform, Bilinear time–frequency distribution function (Wigner distribution function, or WDF), Modified Wigner distribution function, Gabor–Wigner...

The Wigner distribution function (WDF) is used in signal processing as a transform in time-frequency analysis. The WDF was first proposed in physics to...

distributions in time–frequency analysis Squeezed coherent state Bilinear time–frequency distribution Continuous-variable quantum information Specifically, since...

referred to as "quadratic" or bilinear time–frequency distributions. A core member of this class is the Wigner–Ville distribution (WVD), as all other TFDs...

the bilinear time-frequency distributions, but is not considered one of Cohen's class of distributions. The cyclic auto-correlation function of a time-series...

time–frequency domain. It is related to the Wigner–Ville distribution by a two-dimensional filtering that defines the class of quadratic (or bilinear) time–frequency...

spectrogram, and the modified WDs all belong to the Cohen's class of bilinear time-frequency representations : C x ( t , f ) = ∫ − ∞ ∞ ∫ − ∞ ∞ W x ( θ , ν )...

fundamental to the formulation of other time–frequency distributions: the bilinear time–frequency distributions are obtained by a 2-dimensional filtering...

generally, Young's inequality implies that the convolution is a continuous bilinear map between suitable Lp spaces. Specifically, if 1 ≤ p, q, r ≤ ∞ satisfy:...

Space-time estimates for null forms and the local existence theorem. Comm. Pure Appl. Math. 46 (1993), no. 9, 1221–1268. Wolff, Thomas. A sharp bilinear cone...

(x)=\langle x,\varphi \rangle } . This pairing defines a nondegenerate bilinear mapping ⟨ ⋅ , ⋅ ⟩ : V × V ∗ → F {\displaystyle \langle \cdot ,\cdot \rangle...

useful information concerning the distribution of energy in multi-component signals. Cohen's class of bilinear time-frequency representations is a class of...

converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing...

analysis. Various generalizations of the Hilbert transform, such as the bilinear and trilinear Hilbert transforms are still active areas of research today...

The cone-shape distribution function, also known as the Zhao–Atlas–Marks time-frequency distribution, (acronymized as the ZAM distribution or ZAMD), is...

the window size to a desired frequency. For this method the tradeoff is this between time and frequency resolutions. Bilinear transforms may be applied,...

observing that it satisfies similar properties to those of an inner product: bilinear: for constants a {\displaystyle a} and b {\displaystyle b} and random variables...

modulation distribution is a 3D representation of a type of bilinear time–frequency distribution similar, but not the same, as other time-frequency distributions...

is known as the bilinear transform, or Tustin transform. Each of these approximations has different stability properties. The bilinear transform preserves...

_{t_{1}}-\Phi _{t_{2}})=I*\Phi _{t_{1}}-I*\Phi _{t_{2}}.} Because convolution is bilinear, convolving against the difference of Gaussians is equivalent to applying...

(ARB_vertex_program) Render to Texture Hardware Transform and Lighting(T&L) MipMap Bilinear texture filtering Alpha blending Full-scene anti-aliasing (2×2) Phong Shading...

bandlimited continuous functions H {\displaystyle H} . Fix some cutoff frequency 0 < a < ∞ {\displaystyle 0<a<\infty } and define the Hilbert space H =...

also choose to generate Huffman tables optimized for the actual frequency distributions in images being encoded. The process of encoding the zig-zag quantized...

interpolation methods/algorithms, such as inverse distance weighting, bilinear interpolation and nearest-neighbor interpolation, were already well known...

mixtures of pure strategies), and the payoff functions of all players are bilinear functions of the strategies. The Nash equilibrium may sometimes appear...

preserve bilinear forms of various signature. First equation in (D3) can be written more compactly as: where (·, ·) refers to the bilinear form of signature...

points in terms of a sum of cosine functions oscillating at different frequencies. The DCT, first proposed by Nasir Ahmed in 1972, is a widely used transformation...

power, such as conversion between AC and DC or changing frequency or phase number. power distribution That portion of an electrical grid between the substation...