Correlation - dspguide.com
Correlation is the optimal technique for detecting a known waveform in random noise. That is, the peak is higher above the noise using correlation than can be produced by any other linear system. (To be …
The Scientist and Engineer's Guide to Digital Signal Processing
640 Pages, Hardcover Over 500 graphs and illustrations Clear explanations Very readable - low math - many examples All the classic DSP techniques Convolution, Recursion, Fourier Analysis... Easy to …
Properties of Convolution
Third, the technique of correlation is introduced. Forth, a nasty problem with convolution is examined, the computation time can be unacceptably long using conventional algorithms and computers.
Correlation is the answer. Correlation is a mathematical operation that is very similar to convolution. Just as with convolution, correlation uses two signals to produce a third signal. This third signal is called …
Why Does it Work? - dspguide.com
As discussed in Chapter 7, correlation is the optimal way of detecting if a known pattern is contained within a signal. It is carried out by multiplying the signal with the pattern being looked for, and adding …
A Closer Look at Image Convolution
Notice that the PSF rotation resulting from the convolution has undone the rotation made in the design of the PSF. This makes the face appear upright in Fig. 24-15, allowing it to be in the same orientation …
FFT Convolution
before the correlation is performed. From the associative property of convolution, this is the same as applying the edge detection filter to the target signal twice, and leaving the original image alone. In …
FFT Programs - dspguide.com
As discussed in Chapter 8, the real DFT can be calculated by correlating the time domain signal with sine and cosine waves (see Table 8-2). Table 12-2 shows a program to calculate the complex DFT …
The Fast Fourier Transform
Chapter 12: The Fast Fourier Transform There are several ways to calculate the Discrete Fourier Transform (DFT), such as solving simultaneous linear equations or the correlation method described …
Optimal Filters
The idea behind the matched filter is correlation, and this flip is required to perform correlation using convolution. The amplitude of each point in the output signal is a measure of how well the filter kernel …