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https://mathworld.wolfram.com/Cross-Correlation.html

Cross-Correlation -- from Wolfram MathWorld

The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...



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Cross-Correlation -- from Wolfram MathWorld

https://mathworld.wolfram.com/Cross-Correlation.html

The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...



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https://mathworld.wolfram.com/Cross-Correlation.html

Cross-Correlation -- from Wolfram MathWorld

The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...

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      Cross-Correlation -- from Wolfram MathWorld
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      The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...
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      The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...

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      Cross-Correlation -- from Wolfram MathWorld
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      The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...

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      The cross-correlation of two complex functions f(t) and g(t) of a real variable t, denoted f*g is defined by f*g=f^_(-t)*g(t), (1) where * denotes convolution and f^_(t) is the complex conjugate of f(t). Since convolution is defined by f*g=int_(-infty)^inftyf(tau)g(t-tau)dtau, (2) it follows that [f*g](t)=int_(-infty)^inftyf^_(-tau)g(t-tau)dtau. (3) Letting tau^'=-tau, dtau^'=-dtau, so (3) is equivalent to f*g = int_infty^(-infty)f^_(tau^')g(t+tau^')(-dtau^') (4) =...
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